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2016 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Xiwang Dong

Erschienen in: Formation and Containment Control for High-order Linear Swarm Systems

Verlag: Springer Berlin Heidelberg

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Abstract

This chapter shows an overview of the whole thesis. First, the scientific and engineering background of formation and containment control is introduced. It is revealed that the theoretical results about formation and containment control have potential applications in formation flying of multiple unmanned aerial vehicles, formation control of multiple satellites, cooperation of multiple robots, etc. Then previous research on consensus control, formation control, containment control, and formation-containment control of swarm systems is reviewed, respectively. Third, the opportunities and challenging in formation and containment control of high-order linear time-invariant swarm systems are given. The research objective of this thesis is proposed. Finally, the main contents and organization of this thesis are presented.

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Literatur
1.
Zurück zum Zitat Vicsek T (2001) A question of scale. Nature 411(24):421 Vicsek T (2001) A question of scale. Nature 411(24):421
2.
Zurück zum Zitat Weimerskirch H, Martin J, Clerquin Y et al (2001) Energy saving in flight formation. Nature 413(18):697–698 Weimerskirch H, Martin J, Clerquin Y et al (2001) Energy saving in flight formation. Nature 413(18):697–698
3.
Zurück zum Zitat Couzin ID, Krause J, Franks NR et al (2005) Effective leadership and decision-making in animal groups on the move. Nature 433(3):513–516 Couzin ID, Krause J, Franks NR et al (2005) Effective leadership and decision-making in animal groups on the move. Nature 433(3):513–516
4.
Zurück zum Zitat Olfati-Saber R, Murray RM (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 49(9):1520–1533MathSciNet Olfati-Saber R, Murray RM (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 49(9):1520–1533MathSciNet
5.
Zurück zum Zitat Fax JA, Murray RM (2004) Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control 49(9):1465–1476MathSciNet Fax JA, Murray RM (2004) Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control 49(9):1465–1476MathSciNet
6.
Zurück zum Zitat Ji M, Ferrari-Trecate G, Egerstedt M et al (2008) Containment control in mobile networks. IEEE Trans Autom Control 53(8):1972–1975MathSciNet Ji M, Ferrari-Trecate G, Egerstedt M et al (2008) Containment control in mobile networks. IEEE Trans Autom Control 53(8):1972–1975MathSciNet
7.
Zurück zum Zitat Dimarogonas DV, Egerstedt M, Kyriakopoulos KJ (2006) A leader-based containment control strategy for multiple unicycles. In: Proceedings of the 45th IEEE conference on decision and control, pp 5968–5973 Dimarogonas DV, Egerstedt M, Kyriakopoulos KJ (2006) A leader-based containment control strategy for multiple unicycles. In: Proceedings of the 45th IEEE conference on decision and control, pp 5968–5973
8.
Zurück zum Zitat Hong YG, Hu JP, Gao LX (2006) Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42(7):1177–1182MathSciNet Hong YG, Hu JP, Gao LX (2006) Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42(7):1177–1182MathSciNet
9.
Zurück zum Zitat Olfati-Saber R (2006) Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans Autom Control 51(3):401–420MathSciNet Olfati-Saber R (2006) Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans Autom Control 51(3):401–420MathSciNet
10.
Zurück zum Zitat Kim TH, Sugie T (2007) Cooperative control for target-capturing task based on a cyclic pursuit strategy. Automatica 43(8):1426–1431MathSciNet Kim TH, Sugie T (2007) Cooperative control for target-capturing task based on a cyclic pursuit strategy. Automatica 43(8):1426–1431MathSciNet
11.
Zurück zum Zitat Carli R, Chiuso A, Schenato L et al (2008) Distributed kalman filtering based on consensus strategies. IEEE J Sel Areas Commun 26(4):622–633 Carli R, Chiuso A, Schenato L et al (2008) Distributed kalman filtering based on consensus strategies. IEEE J Sel Areas Commun 26(4):622–633
12.
Zurück zum Zitat Wang JY, Liang HZ, Sun ZW et al (2012) Finite-time control for spacecraft formation with dual-number-based description. J Guid Control Dyn 35(3):950–962 Wang JY, Liang HZ, Sun ZW et al (2012) Finite-time control for spacecraft formation with dual-number-based description. J Guid Control Dyn 35(3):950–962
13.
Zurück zum Zitat Abdessameud A, Tayebi A (2011) Formation control of VTOL unmanned aerial vehicles with communication delays. Automatica 47(11):2383–2394MathSciNet Abdessameud A, Tayebi A (2011) Formation control of VTOL unmanned aerial vehicles with communication delays. Automatica 47(11):2383–2394MathSciNet
14.
Zurück zum Zitat Wei CZ, Guo JF, Lu BG, et al (2013) Adaptive control for missile formation keeping under leader information unavailability. In: Proceedings of the 10th IEEE international conference on control and automation, pp 902–907 Wei CZ, Guo JF, Lu BG, et al (2013) Adaptive control for missile formation keeping under leader information unavailability. In: Proceedings of the 10th IEEE international conference on control and automation, pp 902–907
15.
Zurück zum Zitat Cao YC, Stuart D, Ren W et al (2011) Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments. IEEE Trans Control Syst Technol 19(4):929–938 Cao YC, Stuart D, Ren W et al (2011) Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments. IEEE Trans Control Syst Technol 19(4):929–938
16.
Zurück zum Zitat Kar S, Moura JMF (2010) Distributed consensus algorithms in sensor networks: Quantized data and random link failures. IEEE Trans Signal Process 58(3):1383–1400MathSciNet Kar S, Moura JMF (2010) Distributed consensus algorithms in sensor networks: Quantized data and random link failures. IEEE Trans Signal Process 58(3):1383–1400MathSciNet
17.
Zurück zum Zitat Ray RJ, Cobleigh BR, Vachon MJ, et al (2002) Flight test techniques used to evaluate performance benefits during formation flight (Technical Report). NASA Dryden Research Center Ray RJ, Cobleigh BR, Vachon MJ, et al (2002) Flight test techniques used to evaluate performance benefits during formation flight (Technical Report). NASA Dryden Research Center
18.
Zurück zum Zitat Vitaliev V, Hayes J, Sharpe L (2012) Smarter skies the route to sustainability (News briefing). Eng Technol 7(9):20–21 Vitaliev V, Hayes J, Sharpe L (2012) Smarter skies the route to sustainability (News briefing). Eng Technol 7(9):20–21
19.
Zurück zum Zitat Maithripala DHA, Jayasuriya S (2005) Radar deception through phantom track generation. In: Proceedings of the 2005 American control conference, pp 4102–4106 Maithripala DHA, Jayasuriya S (2005) Radar deception through phantom track generation. In: Proceedings of the 2005 American control conference, pp 4102–4106
20.
Zurück zum Zitat Kim J, Hespanha JP (2004) Cooperative radar jamming for groups of unmanned air vehicles. In: Proceedings of the 43rd IEEE conference on decision and control, pp 632–637 Kim J, Hespanha JP (2004) Cooperative radar jamming for groups of unmanned air vehicles. In: Proceedings of the 43rd IEEE conference on decision and control, pp 632–637
21.
Zurück zum Zitat Sivakumar A, Tan CKY (2010) UAV swarm coordination using cooperative control for establishing a wireless communications backbone. In: Proceedings of the 9th international conference on autonomous agents and multiagent systems, pp 1157–1164 Sivakumar A, Tan CKY (2010) UAV swarm coordination using cooperative control for establishing a wireless communications backbone. In: Proceedings of the 9th international conference on autonomous agents and multiagent systems, pp 1157–1164
22.
Zurück zum Zitat Burns R, McLaughlin A, Leitner J, et al (2000) TechSat 21: Formation design, control, and simulation. In: Proceedings of the 2000 IEEE aerospace conference, pp 19–25 Burns R, McLaughlin A, Leitner J, et al (2000) TechSat 21: Formation design, control, and simulation. In: Proceedings of the 2000 IEEE aerospace conference, pp 19–25
24.
Zurück zum Zitat Alami R, Fleury S, Herrb M et al (1998) Multi-robot cooperation in the MARTHA project. IEEE Robot Autom Mag 5(1):36–47 Alami R, Fleury S, Herrb M et al (1998) Multi-robot cooperation in the MARTHA project. IEEE Robot Autom Mag 5(1):36–47
25.
Zurück zum Zitat Borkar V, Varaiya PP (1982) Asymptotic agreement in distributed estimation. IEEE Trans Autom Control 27(3):650–655MathSciNet Borkar V, Varaiya PP (1982) Asymptotic agreement in distributed estimation. IEEE Trans Autom Control 27(3):650–655MathSciNet
26.
Zurück zum Zitat Tsitsiklis JN, Athans M (1984) Convergence and asymptotic agreement in distributed decision problems. IEEE Trans Autom Control 29(1):42–50MathSciNet Tsitsiklis JN, Athans M (1984) Convergence and asymptotic agreement in distributed decision problems. IEEE Trans Autom Control 29(1):42–50MathSciNet
27.
Zurück zum Zitat Vicsek T, Czirok A, Jacob EB et al (1995) Novel type of phase transitions in a system of self-driven particles. Phys Rev Lett 75(6):1226–1229 Vicsek T, Czirok A, Jacob EB et al (1995) Novel type of phase transitions in a system of self-driven particles. Phys Rev Lett 75(6):1226–1229
28.
Zurück zum Zitat Jadbabaie A, Lin J, Morse AS (2003) Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control 48(6):988–1001MathSciNet Jadbabaie A, Lin J, Morse AS (2003) Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control 48(6):988–1001MathSciNet
29.
Zurück zum Zitat Ren W, Beard RW (2005) Consensus seeking in multiagent systems under dynamically chang-ing interaction topologies. IEEE Trans Autom Control 50(5):655–661MathSciNet Ren W, Beard RW (2005) Consensus seeking in multiagent systems under dynamically chang-ing interaction topologies. IEEE Trans Autom Control 50(5):655–661MathSciNet
30.
Zurück zum Zitat Lin P, Jia YM, Li L (2008) Distributed robust \({H_\infty }\) consensus control in directed networks of agents with time-delay. Syst Control Lett 57(8):643–653MathSciNet Lin P, Jia YM, Li L (2008) Distributed robust \({H_\infty }\) consensus control in directed networks of agents with time-delay. Syst Control Lett 57(8):643–653MathSciNet
31.
Zurück zum Zitat Bliman PA, Ferrari-Trecate G (2008) Average consensus problems in networks of agents with delayed communications. Automatica 44(8):1985–1995MathSciNet Bliman PA, Ferrari-Trecate G (2008) Average consensus problems in networks of agents with delayed communications. Automatica 44(8):1985–1995MathSciNet
32.
Zurück zum Zitat Tian YP, Liu CL (2008) Consensus of multi-agent systems with diverse input and communication delays. IEEE Trans Autom Control 53(9):2122–2128MathSciNet Tian YP, Liu CL (2008) Consensus of multi-agent systems with diverse input and communication delays. IEEE Trans Autom Control 53(9):2122–2128MathSciNet
33.
Zurück zum Zitat Xiao F, Wang L (2006) State consensus for multi-agent systems with switching topologies and time-varying delays. Int J Control 79(10):1277–1284MathSciNet Xiao F, Wang L (2006) State consensus for multi-agent systems with switching topologies and time-varying delays. Int J Control 79(10):1277–1284MathSciNet
34.
Zurück zum Zitat Sun YG, Wang L, Xie GM (2008) Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays. Syst Control Lett 57(2):175–183MathSciNet Sun YG, Wang L, Xie GM (2008) Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays. Syst Control Lett 57(2):175–183MathSciNet
35.
Zurück zum Zitat Sun YG, Wang L (2009) Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Trans Autom Control 54(7):1607–1613 Sun YG, Wang L (2009) Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Trans Autom Control 54(7):1607–1613
36.
Zurück zum Zitat Hatano Y, Mesbahi M (2005) Agreement over random networks. IEEE Trans Autom Control 50(11):1867–1872MathSciNet Hatano Y, Mesbahi M (2005) Agreement over random networks. IEEE Trans Autom Control 50(11):1867–1872MathSciNet
37.
Zurück zum Zitat Porfiri M, Stilwell DJ (2007) Consensus seeking over random weighted directed graphs. IEEE Trans Autom Control 52(9):1767–1773MathSciNet Porfiri M, Stilwell DJ (2007) Consensus seeking over random weighted directed graphs. IEEE Trans Autom Control 52(9):1767–1773MathSciNet
38.
Zurück zum Zitat Cortés J (2006) Finite-time convergent gradient flows with applications to network consensus. Automatica 42(11):1993–2000MathSciNet Cortés J (2006) Finite-time convergent gradient flows with applications to network consensus. Automatica 42(11):1993–2000MathSciNet
39.
Zurück zum Zitat Xiao F, Wang L, Chen J et al (2009) Finite-time formation control for multi-agent systems. Automatica 45(11):2605–2611MathSciNet Xiao F, Wang L, Chen J et al (2009) Finite-time formation control for multi-agent systems. Automatica 45(11):2605–2611MathSciNet
40.
Zurück zum Zitat Fang L. Antsaklis PJ (2005) Information consensus of asynchronous discrete-time multi-agent systems. In: Proceedings of the 2005 American control conference, pp 1883–1888 Fang L. Antsaklis PJ (2005) Information consensus of asynchronous discrete-time multi-agent systems. In: Proceedings of the 2005 American control conference, pp 1883–1888
41.
Zurück zum Zitat Mehyar M, Spanos D, Pongsajapan J et al (2007) Asynchronous distributed averaging on communication networks. IEEE-ACM Trans Netw 15(3):512–520 Mehyar M, Spanos D, Pongsajapan J et al (2007) Asynchronous distributed averaging on communication networks. IEEE-ACM Trans Netw 15(3):512–520
42.
Zurück zum Zitat Xiao F, Wang L (2008) Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays. IEEE Trans Autom Control 53(8):1804–1816MathSciNet Xiao F, Wang L (2008) Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays. IEEE Trans Autom Control 53(8):1804–1816MathSciNet
43.
Zurück zum Zitat Ren W, Atkins E (2007) Distributed muti-vehicle coordinated control via local information exchange. Int J Robust Nonlinear Control 17(17):1002–1033MathSciNet Ren W, Atkins E (2007) Distributed muti-vehicle coordinated control via local information exchange. Int J Robust Nonlinear Control 17(17):1002–1033MathSciNet
44.
Zurück zum Zitat Xie GM, Wang L (2007) Consensus control for a class of networks of dynamic agents. Int J Robust Nonlinear Control 17(11):941–959MathSciNet Xie GM, Wang L (2007) Consensus control for a class of networks of dynamic agents. Int J Robust Nonlinear Control 17(11):941–959MathSciNet
45.
Zurück zum Zitat Lin P, Jia YM (2009) Further results on decentralised coordination in networks of agents with second-order dynamics. IET Contr Theory Appl 3(71):957–970MathSciNet Lin P, Jia YM (2009) Further results on decentralised coordination in networks of agents with second-order dynamics. IET Contr Theory Appl 3(71):957–970MathSciNet
46.
Zurück zum Zitat Tanner HG, Jadbabaie A, Pappas GJ (2007) Flocking in fixed and switching networks. IEEE Trans Autom Control 52(5):863–868MathSciNet Tanner HG, Jadbabaie A, Pappas GJ (2007) Flocking in fixed and switching networks. IEEE Trans Autom Control 52(5):863–868MathSciNet
47.
Zurück zum Zitat Lin P, Jia YM (2009) Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies. Automatica 45(9):2154–2158MathSciNet Lin P, Jia YM (2009) Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies. Automatica 45(9):2154–2158MathSciNet
48.
Zurück zum Zitat Lin P, Jia YM (2010) Consensus of a class of second-order multi-agent systems with time-delay and jointly-connected topologies. IEEE Trans Autom Control 55(3):778–784MathSciNet Lin P, Jia YM (2010) Consensus of a class of second-order multi-agent systems with time-delay and jointly-connected topologies. IEEE Trans Autom Control 55(3):778–784MathSciNet
49.
Zurück zum Zitat Hu J, Lin YS (2010) Consensus control for multi-agent systems with double-integrator dynamics and time delays. IET Contr Theory Appl 4(1):109–118MathSciNet Hu J, Lin YS (2010) Consensus control for multi-agent systems with double-integrator dynamics and time delays. IET Contr Theory Appl 4(1):109–118MathSciNet
50.
Zurück zum Zitat Yu WW, Chen GR, Cao M (2010) Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems. Automatica 46(6):1089–1095MathSciNet Yu WW, Chen GR, Cao M (2010) Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems. Automatica 46(6):1089–1095MathSciNet
51.
Zurück zum Zitat Qin JH, Gao HJ, Zheng WX (2011) Second-order consensus for multi-agent systems with switching topology and communication delay. Syst Control Lett 60(6):390–397MathSciNet Qin JH, Gao HJ, Zheng WX (2011) Second-order consensus for multi-agent systems with switching topology and communication delay. Syst Control Lett 60(6):390–397MathSciNet
52.
Zurück zum Zitat Qin JH, Gao HJ, Zheng WX (2011) On average consensus in directed networks of agents with switching topology and time delay. Int J Syst Sci 42(12):1947–1956MathSciNet Qin JH, Gao HJ, Zheng WX (2011) On average consensus in directed networks of agents with switching topology and time delay. Int J Syst Sci 42(12):1947–1956MathSciNet
53.
Zurück zum Zitat Tian YP, Liu CL (2009) Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations. Automatica 45(5):1347–1353MathSciNet Tian YP, Liu CL (2009) Robust consensus of multi-agent systems with diverse input delays and asymmetric interconnection perturbations. Automatica 45(5):1347–1353MathSciNet
54.
Zurück zum Zitat Lin P, Jia YM (2010) Robust \({H_\infty }\) consensus analysis of a class of second-order multi-agent systems with uncertainty. IET Contr Theory Appl 4(3):487–498MathSciNet Lin P, Jia YM (2010) Robust \({H_\infty }\) consensus analysis of a class of second-order multi-agent systems with uncertainty. IET Contr Theory Appl 4(3):487–498MathSciNet
55.
Zurück zum Zitat Zhang Y, Tian YP (2010) Consensus of data-sampled multi-agent systems with random communication delay and packet loss. IEEE Trans Autom Control 55(4):939–943MathSciNet Zhang Y, Tian YP (2010) Consensus of data-sampled multi-agent systems with random communication delay and packet loss. IEEE Trans Autom Control 55(4):939–943MathSciNet
56.
Zurück zum Zitat Yu WW, Zheng WX, Chen GR et al (2011) Second-order consensus in multi-agent dynamical systems with sampled position data. Automatica 47(7):1496–1503MathSciNet Yu WW, Zheng WX, Chen GR et al (2011) Second-order consensus in multi-agent dynamical systems with sampled position data. Automatica 47(7):1496–1503MathSciNet
57.
Zurück zum Zitat Guan ZH, Meng C, Liao RQ et al (2012) Consensus of second-order multi-agent dynamic systems with quantized data. Phys Lett A 376(4):387–393 Guan ZH, Meng C, Liao RQ et al (2012) Consensus of second-order multi-agent dynamic systems with quantized data. Phys Lett A 376(4):387–393
58.
Zurück zum Zitat Yu WW, Chen GR, Cao M et al (2010) Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics. IEEE Trans Syst Man Cybern Part B-Cybern 40(3):881–891 Yu WW, Chen GR, Cao M et al (2010) Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics. IEEE Trans Syst Man Cybern Part B-Cybern 40(3):881–891
59.
Zurück zum Zitat Munz U, Papachristodoulou A, Allgower F (2011) Robust consensus controller design for nonlinear relative degree two multi-agent systems with communication constraints. IEEE Trans Autom Control 56(1):145–151MathSciNet Munz U, Papachristodoulou A, Allgower F (2011) Robust consensus controller design for nonlinear relative degree two multi-agent systems with communication constraints. IEEE Trans Autom Control 56(1):145–151MathSciNet
60.
Zurück zum Zitat Liu KE, Xie GM, Ren W et al (2013) Consensus for multi-agent systems with inherent nonlinear dynamics under directed topologies. Syst Control Lett 62(2):152–162MathSciNet Liu KE, Xie GM, Ren W et al (2013) Consensus for multi-agent systems with inherent nonlinear dynamics under directed topologies. Syst Control Lett 62(2):152–162MathSciNet
61.
Zurück zum Zitat Xiao F, Wang L (2007) Consensus problems for high-dimensional multi-agent systems. IET Contr Theory Appl 1(3):830–837 Xiao F, Wang L (2007) Consensus problems for high-dimensional multi-agent systems. IET Contr Theory Appl 1(3):830–837
62.
Zurück zum Zitat Wang JH, Cheng DZ, Hu X (2008) Consensus of multi-agent linear dynamic systems. Asian J Control 10(1):144–155MathSciNet Wang JH, Cheng DZ, Hu X (2008) Consensus of multi-agent linear dynamic systems. Asian J Control 10(1):144–155MathSciNet
63.
Zurück zum Zitat Xi JX, Cai N, Zhong YS (2010) Consensus problems for high-order linear time-invariant swarm systems. Phys A 389(24):5619–5627 Xi JX, Cai N, Zhong YS (2010) Consensus problems for high-order linear time-invariant swarm systems. Phys A 389(24):5619–5627
64.
Zurück zum Zitat Ma CQ, Zhang JF (2010) Necessary and sufficient conditions for consensusability of linear multi-agent systems. IEEE Trans Autom Control 55(5):1263–1268 Ma CQ, Zhang JF (2010) Necessary and sufficient conditions for consensusability of linear multi-agent systems. IEEE Trans Autom Control 55(5):1263–1268
65.
Zurück zum Zitat Li ZK, Duan ZS, Chen GR et al (2009) Consensus of multi-agent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans Circuits Syst I-Regul Pap 57(1):213–224MathSciNet Li ZK, Duan ZS, Chen GR et al (2009) Consensus of multi-agent systems and synchronization of complex networks: a unified viewpoint. IEEE Trans Circuits Syst I-Regul Pap 57(1):213–224MathSciNet
66.
Zurück zum Zitat Li ZK, Ren W, Liu XD et al (2013) Distributed consensus of linear multi-agent systems with adaptive dynamic protocols. Automatica 49(7):1986–1995MathSciNet Li ZK, Ren W, Liu XD et al (2013) Distributed consensus of linear multi-agent systems with adaptive dynamic protocols. Automatica 49(7):1986–1995MathSciNet
67.
Zurück zum Zitat Seo JH, Shim H, Back J (2009) Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach. Automatica 45(11):2659–2664MathSciNet Seo JH, Shim H, Back J (2009) Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach. Automatica 45(11):2659–2664MathSciNet
68.
Zurück zum Zitat Xi JX, Shi ZY, Zhong YS (2011) Consensus analysis and design for high-order linear swarm systems with time-varying delays. Physica A 390(23–24):4114–4123 Xi JX, Shi ZY, Zhong YS (2011) Consensus analysis and design for high-order linear swarm systems with time-varying delays. Physica A 390(23–24):4114–4123
69.
Zurück zum Zitat Wang X, Saberi A, Stoorvogel AA et al (2013) Consensus in the network with uniform constant communication delay. Automatica 49(8):2461–2467MathSciNet Wang X, Saberi A, Stoorvogel AA et al (2013) Consensus in the network with uniform constant communication delay. Automatica 49(8):2461–2467MathSciNet
70.
Zurück zum Zitat Scardovi L, Sepulchre R (2009) Synchronization in networks of identical linear systems. Automatica 45(11):2557–2562MathSciNet Scardovi L, Sepulchre R (2009) Synchronization in networks of identical linear systems. Automatica 45(11):2557–2562MathSciNet
71.
Zurück zum Zitat Su YF, Huang J (2012) Stability of a class of linear switching systems with applications to two consensus problems. IEEE Trans Autom Control 57(6):1420–1430MathSciNet Su YF, Huang J (2012) Stability of a class of linear switching systems with applications to two consensus problems. IEEE Trans Autom Control 57(6):1420–1430MathSciNet
72.
Zurück zum Zitat Liu Y, Jia YM (2010) \({H_\infty }\) consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol. Int J Control 83(3):527–537MathSciNet Liu Y, Jia YM (2010) \({H_\infty }\) consensus control of multi-agent systems with switching topology: a dynamic output feedback protocol. Int J Control 83(3):527–537MathSciNet
73.
Zurück zum Zitat Zhao Y, Duan ZS, Wen GH et al (2012) Distributed \({H_\infty }\) consensus of multi-agent systems: a performance region-based approach. Int J Control 85(3):332–341MathSciNet Zhao Y, Duan ZS, Wen GH et al (2012) Distributed \({H_\infty }\) consensus of multi-agent systems: a performance region-based approach. Int J Control 85(3):332–341MathSciNet
74.
Zurück zum Zitat Xi JX, Shi ZY, Zhong YS (2012) Output consensus analysis and design for high-order linear swarm systems: partial stability method. Automatica 48(9):2335–2343MathSciNet Xi JX, Shi ZY, Zhong YS (2012) Output consensus analysis and design for high-order linear swarm systems: partial stability method. Automatica 48(9):2335–2343MathSciNet
75.
Zurück zum Zitat Proskurnikov A (2013) Consensus in switching networks with sectorial nonlinear couplings: absolute stability approach. Automatica 49(2):488–495MathSciNet Proskurnikov A (2013) Consensus in switching networks with sectorial nonlinear couplings: absolute stability approach. Automatica 49(2):488–495MathSciNet
76.
Zurück zum Zitat Xi JX, Meng FL, Shi ZY et al (2012) Time-dependent admissible consensualization for singular time-delayed swarm systems. Syst Control Lett 61(11):1089–1096MathSciNet Xi JX, Meng FL, Shi ZY et al (2012) Time-dependent admissible consensualization for singular time-delayed swarm systems. Syst Control Lett 61(11):1089–1096MathSciNet
77.
Zurück zum Zitat Wang SM, Fu MY, Xu YJ, et al (2013) Consensus analysis of high-order singular multi-agent discrete-time systems. In: Proceedings of the 32nd Chinese control conference, pp 7136–7141 Wang SM, Fu MY, Xu YJ, et al (2013) Consensus analysis of high-order singular multi-agent discrete-time systems. In: Proceedings of the 32nd Chinese control conference, pp 7136–7141
78.
Zurück zum Zitat Kim H, Shim H, Seo JH (2011) Output consensus of heterogeneous uncertain linear multi-agent systems. IEEE Trans Autom Control 56(1):200–206MathSciNet Kim H, Shim H, Seo JH (2011) Output consensus of heterogeneous uncertain linear multi-agent systems. IEEE Trans Autom Control 56(1):200–206MathSciNet
79.
Zurück zum Zitat Tian YP, Zhang Y (2012) High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica 48(6):1205–1212MathSciNet Tian YP, Zhang Y (2012) High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica 48(6):1205–1212MathSciNet
80.
Zurück zum Zitat Chen YQ, Wang Z (2005) Formation control: A review and a new consideration. In: Proceedings of the 2005 IEEE/RSJ international conference on intelligent robots and systems, pp 3181–3186 Chen YQ, Wang Z (2005) Formation control: A review and a new consideration. In: Proceedings of the 2005 IEEE/RSJ international conference on intelligent robots and systems, pp 3181–3186
81.
Zurück zum Zitat Wang PKC (1991) Navigation strategies for multiple autonomous mobile robots moving in formation. J Robotic Syst 8(2):177–195 Wang PKC (1991) Navigation strategies for multiple autonomous mobile robots moving in formation. J Robotic Syst 8(2):177–195
82.
Zurück zum Zitat Balch T, Arkin R (1998) Behavior-based formation control for multirobot teams. IEEE Trans Robot Autom 14(6):926–939 Balch T, Arkin R (1998) Behavior-based formation control for multirobot teams. IEEE Trans Robot Autom 14(6):926–939
83.
Zurück zum Zitat Lewis M, Tan K (1997) High precision formation control of mobile robots using virtual structures. Auton Robot 4(4):387–403 Lewis M, Tan K (1997) High precision formation control of mobile robots using virtual structures. Auton Robot 4(4):387–403
84.
Zurück zum Zitat Beard RW, Lawton J, Hadaegh FY (2001) A coordination architecture for spacecraft formation control. IEEE Trans Control Syst Technol 9(6):777–790 Beard RW, Lawton J, Hadaegh FY (2001) A coordination architecture for spacecraft formation control. IEEE Trans Control Syst Technol 9(6):777–790
85.
Zurück zum Zitat Ren W (2007) Consensus strategies for cooperative control of vehicle formations. IET Contr Theory Appl 1(2):505–512 Ren W (2007) Consensus strategies for cooperative control of vehicle formations. IET Contr Theory Appl 1(2):505–512
86.
Zurück zum Zitat Ren W, Sorensen N (2008) Distributed coordination architecture for multi-robot formation control. Robot Auton Syst 56(4):324–333 Ren W, Sorensen N (2008) Distributed coordination architecture for multi-robot formation control. Robot Auton Syst 56(4):324–333
87.
Zurück zum Zitat Xie GM, Wang L (2009) Moving formation convergence of a group of mobile robots via decentralised information feedback. Int J Syst Sci 40(10):1019–1027MathSciNet Xie GM, Wang L (2009) Moving formation convergence of a group of mobile robots via decentralised information feedback. Int J Syst Sci 40(10):1019–1027MathSciNet
88.
Zurück zum Zitat Liu CL, Tian YP (2009) Formation control of multi-agent systems with heterogeneous communication delays. Int J Syst Sci 40(6):627–636MathSciNet Liu CL, Tian YP (2009) Formation control of multi-agent systems with heterogeneous communication delays. Int J Syst Sci 40(6):627–636MathSciNet
89.
Zurück zum Zitat Lafferriere G, Williams A, Caughman J et al (2005) Decentralized control of vehicle formations. Syst Control Lett 54(9):899–910MathSciNet Lafferriere G, Williams A, Caughman J et al (2005) Decentralized control of vehicle formations. Syst Control Lett 54(9):899–910MathSciNet
90.
Zurück zum Zitat Porfiri M, Roberson DG, Stilwell DJ (2007) Tracking and formation control of multiple autonomous agents: a two-level consensus approach. Automatica 43(8):1318–1328MathSciNet Porfiri M, Roberson DG, Stilwell DJ (2007) Tracking and formation control of multiple autonomous agents: a two-level consensus approach. Automatica 43(8):1318–1328MathSciNet
91.
Zurück zum Zitat Lin ZY, Francis B, Maggiore M (2005) Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Trans Autom Control 50(1):121–127MathSciNet Lin ZY, Francis B, Maggiore M (2005) Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Trans Autom Control 50(1):121–127MathSciNet
92.
Zurück zum Zitat Ma CQ, Zhang JF (2012) On formability of linear continuous-time multi-agent systems. J Syst Sci Complex 25(1):13–29MathSciNet Ma CQ, Zhang JF (2012) On formability of linear continuous-time multi-agent systems. J Syst Sci Complex 25(1):13–29MathSciNet
93.
Zurück zum Zitat Dong XW, Xi JX, Lu G, et al (2013) Formation analysis and feasibility for high-order linear time-invariant swarm systems with time delays. In: Proceedings of the 32nd Chinese control conference, pp 7023–7029 Dong XW, Xi JX, Lu G, et al (2013) Formation analysis and feasibility for high-order linear time-invariant swarm systems with time delays. In: Proceedings of the 32nd Chinese control conference, pp 7023–7029
94.
Zurück zum Zitat Chung H, Sastry SS (2006) Autonomous helicopter formation using model predictive control. In: Proceedings of the 2006 AIAA guidance, Navigation, and Control conference, pp 459–473 Chung H, Sastry SS (2006) Autonomous helicopter formation using model predictive control. In: Proceedings of the 2006 AIAA guidance, Navigation, and Control conference, pp 459–473
95.
Zurück zum Zitat Sharma RK, Ghose D (2009) Collision avoidance between UAV clusters using swarm intelligence techniques. Int J Syst Sci 40(5):521–538MathSciNet Sharma RK, Ghose D (2009) Collision avoidance between UAV clusters using swarm intelligence techniques. Int J Syst Sci 40(5):521–538MathSciNet
96.
Zurück zum Zitat Kim S, Kim Y (2009) Optimum design of three-dimensional behavioural decentralized controller for UAV formation flight. Eng Optimiz 41(3):199–224 Kim S, Kim Y (2009) Optimum design of three-dimensional behavioural decentralized controller for UAV formation flight. Eng Optimiz 41(3):199–224
97.
Zurück zum Zitat Linorman NHM, Liu HHT (2008) Formation UAV flight control using virtual structure and motion synchronization. In: Proceedings of the 2008 American control conference, pp 1782–1787 Linorman NHM, Liu HHT (2008) Formation UAV flight control using virtual structure and motion synchronization. In: Proceedings of the 2008 American control conference, pp 1782–1787
98.
Zurück zum Zitat Min HB, Sun FC, Niu F (2009) Decentralized UAV formation tracking flight control using gyroscopic force. In: Proceedings of international conference on computational intelligence for measurement systems and applications, pp 91–96 Min HB, Sun FC, Niu F (2009) Decentralized UAV formation tracking flight control using gyroscopic force. In: Proceedings of international conference on computational intelligence for measurement systems and applications, pp 91–96
99.
Zurück zum Zitat Qu Y, Zhu X, Zhang Y (2012) Cooperative control for UAV formation flight based on decentralized consensus algorithm. In: Intelligent robotics and applications lecture notes in computer science, pp 357–366 Qu Y, Zhu X, Zhang Y (2012) Cooperative control for UAV formation flight based on decentralized consensus algorithm. In: Intelligent robotics and applications lecture notes in computer science, pp 357–366
100.
Zurück zum Zitat Gu Y, Campa G, Seanor B, et al (2009) Autonomous Formation Flight-Design and Experiments. In: Aerial vehicles, pp 233–256 Gu Y, Campa G, Seanor B, et al (2009) Autonomous Formation Flight-Design and Experiments. In: Aerial vehicles, pp 233–256
101.
Zurück zum Zitat Yun B, Chen BM, Lum KY et al (2010) Design and implementation of a leader-follower cooperative control system for unmanned helicopters. J Control Theor Appl 8(1):61–68 Yun B, Chen BM, Lum KY et al (2010) Design and implementation of a leader-follower cooperative control system for unmanned helicopters. J Control Theor Appl 8(1):61–68
102.
Zurück zum Zitat You DI, Shim DH (2011) Autonomous formation flight test of multi-micro aerial vehicles. J Intell Robot Syst 61(1–4):321–337 You DI, Shim DH (2011) Autonomous formation flight test of multi-micro aerial vehicles. J Intell Robot Syst 61(1–4):321–337
103.
Zurück zum Zitat Di L, Chao H, Han J, et al (2011) Cognitive multi-UAV formation flight: Principle, low-cost UAV testbed, controller tuning and experiments. In: Proceedings of ASME/IEEE international conference on mechatronic and embedded systems and applications, DETC2011-47848 Di L, Chao H, Han J, et al (2011) Cognitive multi-UAV formation flight: Principle, low-cost UAV testbed, controller tuning and experiments. In: Proceedings of ASME/IEEE international conference on mechatronic and embedded systems and applications, DETC2011-47848
104.
Zurück zum Zitat Kushleyev A, Mellinger D, Kumar V (2012) Towards a swarm of agile micro quadrotors. Robotics: Science and Systems Kushleyev A, Mellinger D, Kumar V (2012) Towards a swarm of agile micro quadrotors. Robotics: Science and Systems
105.
Zurück zum Zitat Turpin M, Michael N, Kumar V (2012) Trajectory design and control for aggressive formation flight with quadrotors. Auton Robot 33(1–2):143–156 Turpin M, Michael N, Kumar V (2012) Trajectory design and control for aggressive formation flight with quadrotors. Auton Robot 33(1–2):143–156
106.
Zurück zum Zitat Turpin M, Michael N, Kumar V (2012) Decentralized formation control with variable shapes for aerial robots. In: Proceedings of IEEE international conference on robotics and automation, pp 23–30 Turpin M, Michael N, Kumar V (2012) Decentralized formation control with variable shapes for aerial robots. In: Proceedings of IEEE international conference on robotics and automation, pp 23–30
107.
Zurück zum Zitat Yu BC, Dong XW, Shi ZY, et al (2013) Formation control for quadrotor swarm systems: Algorithms and experiments. In: Proceedings of the 32nd Chinese control conference, pp 7099–7104 Yu BC, Dong XW, Shi ZY, et al (2013) Formation control for quadrotor swarm systems: Algorithms and experiments. In: Proceedings of the 32nd Chinese control conference, pp 7099–7104
108.
Zurück zum Zitat Thornhill R, Alcock J (1983) The evolution of insect mating systems. Harvard University Press, Cambridge Thornhill R, Alcock J (1983) The evolution of insect mating systems. Harvard University Press, Cambridge
109.
Zurück zum Zitat Hummel HE, Miller TA (1984) Techniques in pheromone research. Springer, New York Hummel HE, Miller TA (1984) Techniques in pheromone research. Springer, New York
110.
Zurück zum Zitat Ren W (2007) Multi-vehicle consensus with a time-varying reference state. Syst Control Lett 56(7–8):474–483 Ren W (2007) Multi-vehicle consensus with a time-varying reference state. Syst Control Lett 56(7–8):474–483
111.
Zurück zum Zitat Hong YG, Chen GR, Bushnell L (2008) Distributed observers design for leader-following control of multi-agent networks. Automatica 44(3):864–850MathSciNet Hong YG, Chen GR, Bushnell L (2008) Distributed observers design for leader-following control of multi-agent networks. Automatica 44(3):864–850MathSciNet
112.
Zurück zum Zitat Ni W, Cheng DZ (2010) Leader-following consensus of multi-agent systems under fixed and switching topologies. Syst Control Lett 59(3–4):209–217MathSciNet Ni W, Cheng DZ (2010) Leader-following consensus of multi-agent systems under fixed and switching topologies. Syst Control Lett 59(3–4):209–217MathSciNet
113.
Zurück zum Zitat Li ZK, Liu XD, Ren W et al (2013) Distributed tracking control for linear multi-agent systems with a leader of bounded unknown input. IEEE Trans Autom Control 58(2):518–523MathSciNet Li ZK, Liu XD, Ren W et al (2013) Distributed tracking control for linear multi-agent systems with a leader of bounded unknown input. IEEE Trans Autom Control 58(2):518–523MathSciNet
114.
Zurück zum Zitat Ji M, Ferrari-Trecate G, Egerstedt M et al (2008) Containment control in mobile networks. IEEE Trans Autom Control 53(8):1972–1975MathSciNet Ji M, Ferrari-Trecate G, Egerstedt M et al (2008) Containment control in mobile networks. IEEE Trans Autom Control 53(8):1972–1975MathSciNet
115.
Zurück zum Zitat Meng ZY, Ren W, You Z (2010) Distributed finite-time attitude containment control for multiple rigid bodies. Automatica 46(12):2092–2099MathSciNet Meng ZY, Ren W, You Z (2010) Distributed finite-time attitude containment control for multiple rigid bodies. Automatica 46(12):2092–2099MathSciNet
116.
Zurück zum Zitat Notarstefano G, Egerstedt M, Haque M (2011) Containment in leader-follower networks with switching communication topologies. Automatica 47(5):1035–1040MathSciNet Notarstefano G, Egerstedt M, Haque M (2011) Containment in leader-follower networks with switching communication topologies. Automatica 47(5):1035–1040MathSciNet
117.
Zurück zum Zitat Cao YC, Ren W, Egerstedt M (2012) Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks. Automatica 48(8):1586–1597MathSciNet Cao YC, Ren W, Egerstedt M (2012) Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks. Automatica 48(8):1586–1597MathSciNet
118.
Zurück zum Zitat Liu HY, Xie GM, Wang L (2012) Necessary and sufficient conditions for containment control of networked multi-agent systems. Automatica 48(7):1415–1422MathSciNet Liu HY, Xie GM, Wang L (2012) Necessary and sufficient conditions for containment control of networked multi-agent systems. Automatica 48(7):1415–1422MathSciNet
119.
Zurück zum Zitat Lou YC, Hong YG (2012) Target containment control of multi-agent systems with random switching interconnection topologies. Automatica 48(5):879–885MathSciNet Lou YC, Hong YG (2012) Target containment control of multi-agent systems with random switching interconnection topologies. Automatica 48(5):879–885MathSciNet
120.
Zurück zum Zitat Liu HY, Xie GM, Wang L (2012) Containment of linear multi-agent systems under general interaction topologies. Syst Control Lett 61(4):528–534MathSciNet Liu HY, Xie GM, Wang L (2012) Containment of linear multi-agent systems under general interaction topologies. Syst Control Lett 61(4):528–534MathSciNet
121.
Zurück zum Zitat Li ZK, Ren W, Liu XD et al (2013) Distributed containment control of multi-agent systems with general linear dynamics in the presence of multiple leaders. Int J Robust Nonlinear Control 23(5):534–547MathSciNet Li ZK, Ren W, Liu XD et al (2013) Distributed containment control of multi-agent systems with general linear dynamics in the presence of multiple leaders. Int J Robust Nonlinear Control 23(5):534–547MathSciNet
122.
Zurück zum Zitat Dong XW, Xi JX, Lu G et al (2014) Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays. Int J Robust Nonlinear Control 24(7):1189–1204MathSciNet Dong XW, Xi JX, Lu G et al (2014) Containment analysis and design for high-order linear time-invariant singular swarm systems with time delays. Int J Robust Nonlinear Control 24(7):1189–1204MathSciNet
123.
Zurück zum Zitat Dong XW, Shi ZY, Lu G et al (2015) Output containment analysis and design for high-order linear time-invariant swarm systems. Int J Robust Nonlinear Control 25(6):900–913MathSciNet Dong XW, Shi ZY, Lu G et al (2015) Output containment analysis and design for high-order linear time-invariant swarm systems. Int J Robust Nonlinear Control 25(6):900–913MathSciNet
124.
Zurück zum Zitat Ferrari-Trecate G, Egerstedt M, Buffa A, et al (2006) Laplacian Sheep: A Hybrid, Stop-Go Policy for Leader-Based Containment Control. In: Proceedings of hybrid systems: computation and control, pp 212–226 Ferrari-Trecate G, Egerstedt M, Buffa A, et al (2006) Laplacian Sheep: A Hybrid, Stop-Go Policy for Leader-Based Containment Control. In: Proceedings of hybrid systems: computation and control, pp 212–226
Metadaten
Titel
Introduction
verfasst von
Xiwang Dong
Copyright-Jahr
2016
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-47836-3_1