Switching control of a modified leader–follower team of agents under the leader and network topological changes
Switching control of a modified leader–follower team of agents under the leader and network topological changes
- Author(s): E. Semsar-Kazerooni and K. Khorasani
- DOI: 10.1049/iet-cta.2010.0396
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- Author(s): E. Semsar-Kazerooni 1, 2 and K. Khorasani 1
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View affiliations
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Affiliations:
1: Department of Electrical and Computer Engineering, Concordia University, Montreal, Canada
2: Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada
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Affiliations:
1: Department of Electrical and Computer Engineering, Concordia University, Montreal, Canada
- Source:
Volume 5, Issue 12,
18 August 2011,
p.
1369 – 1377
DOI: 10.1049/iet-cta.2010.0396 , Print ISSN 1751-8644, Online ISSN 1751-8652
In this study, the existence of a common Lyapunov function to guarantee stability of a switching network of multi-agents with strongly connected unbalanced describing graphs and directional communication links is presented. The objective of the team is to achieve consensus while the team structure is arbitrarily changing during a given mission. Although the design strategy for the team of multi-agents is based on a semi-decentralised optimal control approach for the initial network topology, to guarantee consensus achievement for the switching network and for determining a common Lyapunov function for stability the optimal control gains have to be reassigned. It is shown that by introducing a criterion for selecting the control gains, desirable performance specifications for the switching network under the leader or the team topological changes can still be achieved.
Inspec keywords: time-varying systems; stability; graph theory; multi-robot systems; optimal control; mobile robots; Lyapunov methods
Other keywords:
Subjects: Combinatorial mathematics; Time-varying control systems; Mobile robots; Stability in control theory; Optimal control
References
-
-
1)
- Bauso, D., Giarre, L., Pesenti, R.: `Robust control in uncertain multi-inventory systems and consensus problems', Proc. IFAC World Congress, 2008, p. 9027–9032.
-
2)
- R. Olfati-Saber , R.M. Murray . Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control , 9 , 1520 - 1533
-
3)
- Sun, Y.G., Wang, L., Xie, G.: `Average consensus in directed networks of dynamic agents with time-varying communication delays', Proc. Conf. Desision and Control, 13–15 December 2006, p. 3393–3398.
-
4)
- Olfati-Saber, R., Murray, R.M.: `Agreement problems in networks with directed graphs and switching topology', Proc. Conf. Decision and Control, 9–12 December 2003, p. 4126–4132.
-
5)
- Moreau, L.: `Stability of continuous time distributed consensus algorithms', Proc. Conf. Decision and Control, 14–17 December 2004, p. 3998–4003.
-
6)
- A. Jadbabaie , J. Lin , A.S. Morse . Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control , 6 , 988 - 1001
-
7)
- L. Moreau . Stability of multi-agent systems with time-dependent communication links. IEEE Trans. Autom. Control , 2 , 169 - 182
-
8)
- Wang, L., Xiao, F.: `A new approach to consensus problems for discrete-time multiagent systems with time-delays', Proc. American Control Conf., 14–16 June 2006, p. 2118–2123.
-
9)
- Beard, R.W., Lawton, J., Hadaegh, F.Y.: `A feedback architecture for formation control', Proc. American Control Conf., 28–30 June 2000, p. 4087–4091, vol. 6.
-
10)
- Xie, G., Wang, L.: `Consensus control for a class of networks of dynamic agents: switching topology', Proc. American Control Conf., 14–16 June 2006, p. 1382–1387.
-
11)
- Liu, B., Xie, G., Chu, T., Wang, L.: `Controllability of interconnected systems via switching networks with a leader', Proc. IEEE Conf. Systems Man Cybern., 8–11 October 2006, p. 3912–3916.
-
12)
- Kingston, D.B., Beard, R.W.: `Discrete-time average-consensus under switching network topologies', Proc. American Control Conf., 14–16 June 2006, p. 3551–3556.
-
13)
- E. Semsar-Kazerooni , K. Khorasani . An optimal cooperation in a team of agents subject to partial information. Int. J. Control , 3 , 571 - 583
-
14)
- Tsitsiklis, J.N.: `Problems in decentralized decision making and computation', 1984, PhD, Massachusetts Institute of Technology.
-
15)
- Semsar-Kazerooni, E., Khorasani, K.: `Semi-decentralized optimal control technique for a leader-follower team of unmanned systems with partial availability of the leader command', Proc. IEEE Int. Conf. Control and Automation, 2007, p. 475–480, 30 May–1 June.
-
16)
- D.M. Stipanović , G. İnalhan , R. Teo , C.J. Tomlin . Decentralized overlapping control of a formation of unmanned aerial vehicles. Automatica , 1285 - 1296
-
17)
- Semsar-Kazerooni, E., Khorasani, K.: `Switching control of a modified leader-follower team of agents under the leader and network topological changes', Proc. IFAC World Congress, 2008, p. 1534–1540.
-
18)
- Bauso, D., Giarre, L., Pesenti, R.: `Mechanism design for optimal consensus problems', Proc. Conf. Desision and Control, 13–15 December 2006, p. 3381–3386.
-
19)
- E. Semsar-Kazerooni , K. Khorasani . Optimal consensus algorithms for cooperative team of agents subject to partial information. Automatica , 11 , 2766 - 2777
-
20)
- J.N. Tsitsiklis , D.P. Bertsekas , M. Athans . Distributed asynchronous deterministic and stochastic gradient optimization algorithms. IEEE Trans. Autom. Control , 9 , 803 - 812
-
21)
- N. Biggs . (1993) Algebraic graph theory.
-
22)
- E. Semsar-Kazerooni , K. Khorasani . On optimal consensus seeking: an LMI approach. IEEE Trans. Syst. Man Cybern. B , 2 , 540 - 547
-
23)
- Tanner, H.G., Jadbabaie, A., Pappas, G.J.: `Stable flocking of mobile agents part II: dynamic topology', Proc. Conf. Decision and Control, 9–12 December 2003, p. 2016–2021.
-
24)
- Shi, H., Wang, L., Chu, T.: `Coordinated control of multiple interactive dynamical agents with assymmetric coupling pattern and switching topology', Proc. IEEE/RSJ Int. Conf. Intelligent Robots and Systems, 9–15 October 2006, p. 3209–3214.
-
25)
- R. Horn , C. Johnson . (1985) Matrix analysis.
-
26)
- F. Xiao , L. Wang . Consensus problems for high-dimensional multi-agent systems. IET Control Theory Appl. , 3 , 830 - 837
-
27)
- B. Sinopoli , C. Sharp , L. Schenato , S. Schafferthim , S. Sastry . Distributed control applications within sensor networks. Proc. IEEE , 8 , 1235 - 1246
-
28)
- Ren, W.: `Second-order consensus algorithm with extensions to switching topologies and reference models', Proc. American Control Conf., 11–13 July 2007, p. 1431–1436.
-
29)
- W. Ren , R.W. Beard . Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans. Autom. Control , 5 , 655 - 661
-
1)