Skip to main content
Erschienen in:

07.12.2022

Neural Network-Based Adaptive Containment Control Algorithms Design for Nonlinear Multiagent Systems with Switching Topologies

verfasst von: Jie Huang, Xin Wang, Rui Xu

Erschienen in: Cognitive Computation | Ausgabe 1/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper discusses the containment control problem of nonlinear multiagent systems with unknown disturbance and switching topology. The novel model of nonlinear multiagent systems is given and the dynamic functions of this model are considered to be continuous. Utilizing the approximation capability of the neural networks to estimate the unknown external disturbance and unknown nonlinear functions in the dynamic functions of nonlinear multiagent systems, which designs disturbance observer and containment controller. The containment control problem can be addressed with the proposed algorithm, applying the Lyapunov functions, graph theory, and inequality techniques. The nonlinear multiagent systems are cooperatively semi-globally uniformly ultimately bounded and at the end of this paper, a simulation example is given to illustrate the effectiveness of the approach proposed.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Dong X, Hu G. Time-varying formation control for general linear multi-agent systems with switching directed topologies. Automatica. 2016;73:47–55.MathSciNetCrossRefMATH Dong X, Hu G. Time-varying formation control for general linear multi-agent systems with switching directed topologies. Automatica. 2016;73:47–55.MathSciNetCrossRefMATH
2.
Zurück zum Zitat Olfati-Saber R. Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Transactions on Automatic Control. 2006;51(3):401–20. Olfati-Saber R. Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Transactions on Automatic Control. 2006;51(3):401–20.
3.
Zurück zum Zitat Wen G, Zheng WX. On constructing multiple lyapunov functions for tracking control of multiple agents with switching topologies. IEEE Transactions on Automatic Control. 2019;64(9):3796–380. Wen G, Zheng WX. On constructing multiple lyapunov functions for tracking control of multiple agents with switching topologies. IEEE Transactions on Automatic Control. 2019;64(9):3796–380.
4.
Zurück zum Zitat Bhowmick S, Panja S. Leader-follower bipartite consensus of linear multi-agent systems over a signed directed graph. IEEE Transactions on Circuits and Systems II: Express Briefs. 2019;66(8):1436–40. Bhowmick S, Panja S. Leader-follower bipartite consensus of linear multi-agent systems over a signed directed graph. IEEE Transactions on Circuits and Systems II: Express Briefs. 2019;66(8):1436–40.
5.
Zurück zum Zitat Li S, Zou W, Guo J, Xiang Z. Consensus of Switched Nonlinear Multiagent Systems Subject to Cyber Attacks. IEEE Systems Journal. 2022;16(3):4423–32.CrossRef Li S, Zou W, Guo J, Xiang Z. Consensus of Switched Nonlinear Multiagent Systems Subject to Cyber Attacks. IEEE Systems Journal. 2022;16(3):4423–32.CrossRef
6.
Zurück zum Zitat Zhao X, Ma C, Xing X, Zheng X. A stochastic sampling consensus protocol of networked euler-lagrange systems with application to two-link manipulator. IEEE Transactions on Industrial Informatics. IEEE Trans Industr Inform 2015;11(4):907–14. Zhao X, Ma C, Xing X, Zheng X. A stochastic sampling consensus protocol of networked euler-lagrange systems with application to two-link manipulator. IEEE Transactions on Industrial Informatics. IEEE Trans Industr Inform 2015;11(4):907–14.
7.
Zurück zum Zitat Bhowmick S, Panja S. Leader-follower bipartite consensus of uncertain linear multiagent systems with external bounded disturbances over signed directed graph. IEEE Control Systems Letters. 2019;3(3):595–600. Bhowmick S, Panja S. Leader-follower bipartite consensus of uncertain linear multiagent systems with external bounded disturbances over signed directed graph. IEEE Control Systems Letters. 2019;3(3):595–600. 
8.
Zurück zum Zitat Yu S, Long X, Guo G. Continuous finite-time output consensus tracking of highorder agents with matched and unmatched disturbances. IET Control Theory and Applications. 2016;10(14):1716–23. Yu S, Long X, Guo G. Continuous finite-time output consensus tracking of highorder agents with matched and unmatched disturbances. IET Control Theory and Applications. 2016;10(14):1716–23.
9.
Zurück zum Zitat Wang X, Xu D, Hong Y. Consensus control of nonlinear leader-follower multi-agent systems with actuating disturbances. Syst Control Lett. 2014;73:58–66. Wang X, Xu D, Hong Y. Consensus control of nonlinear leader-follower multi-agent systems with actuating disturbances. Syst Control Lett. 2014;73:58–66.
10.
Zurück zum Zitat Rahman A, Ji M, Mesbahi M, Egerstedt M. Controllability of multiagent systems from a graph-theoretic perspective. SIAM J Control Optim 2009;48(1):162–86. Rahman A, Ji M, Mesbahi M, Egerstedt M. Controllability of multiagent systems from a graph-theoretic perspective. SIAM J Control Optim 2009;48(1):162–86.
11.
Zurück zum Zitat Zhang J, Chen Z, Zhang H, Feng T. Coupling effect and pole assignment in trajectory regulation of multiagent systems. Automatica. 2021;125: 109465.CrossRefMATH Zhang J, Chen Z, Zhang H, Feng T. Coupling effect and pole assignment in trajectory regulation of multiagent systems. Automatica. 2021;125: 109465.CrossRefMATH
12.
Zurück zum Zitat Zhang J, Wang Z, Zhang H. Data-Based Optimal Control of Multiagent System: A Reinforcement Learning Design Approach. IEEE Trans Cybernet. 2019;49(12):4441–49. Zhang J, Wang Z, Zhang H. Data-Based Optimal Control of Multiagent System: A Reinforcement Learning Design Approach. IEEE Trans Cybernet. 2019;49(12):4441–49.
13.
Zurück zum Zitat Yao D, Dou C, Yue D, Xie X. Event-Triggered Practical Fixed-Time Fuzzy Containment Control for Stochastic Multiagent Systems. IEEE Trans Fuzzy Syst. 2022;30(8):3052–62. Yao D, Dou C, Yue D, Xie X. Event-Triggered Practical Fixed-Time Fuzzy Containment Control for Stochastic Multiagent Systems. IEEE Trans Fuzzy Syst. 2022;30(8):3052–62.
14.
Zurück zum Zitat Zhang C, Wang J, Sun R, Zhang D, Shao X. Multi-spacecraft attitude cooperative control using model-based event-triggered methodology. Adv Space Res. 2018;62(9):2620–30. Zhang C, Wang J, Sun R, Zhang D, Shao X. Multi-spacecraft attitude cooperative control using model-based event-triggered methodology. Adv Space Res. 2018;62(9):2620–30.
15.
Zurück zum Zitat Wang F, Liu Z, Chen Z. Distributed containment control for second-order multiagent systems with time delay and intermittent communication. Int J Robust Nonlinear Control. 2018;28(18):5730–46. Wang F, Liu Z, Chen Z. Distributed containment control for second-order multiagent systems with time delay and intermittent communication. Int J Robust Nonlinear Control. 2018;28(18):5730–46.
16.
Zurück zum Zitat Cao Y, Stuart D, Ren W, Meng Z. Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments. IEEE Trans Control Syst Technol. 2011;19(4):929–38. Cao Y, Stuart D, Ren W, Meng Z. Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments. IEEE Trans Control Syst Technol. 2011;19(4):929–38.
17.
Zurück zum Zitat Hu C, He H, Jiang H. Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability. IEEE Trans Cybernet. 2021;51(6):2882–92. Hu C, He H, Jiang H. Fixed/Preassigned-Time Synchronization of Complex Networks via Improving Fixed-Time Stability. IEEE Trans Cybernet. 2021;51(6):2882–92.
18.
Zurück zum Zitat Hu C, Jiang H. Special Functions-Based Fixed-Time Estimation and Stabilization for Dynamic Systems. IEEE Tran Syst Man Cybernet Syst. 2022;52(5):3251–62. Hu C, Jiang H. Special Functions-Based Fixed-Time Estimation and Stabilization for Dynamic Systems. IEEE Tran Syst Man Cybernet Syst. 2022;52(5):3251–62.
19.
Zurück zum Zitat Zuo Z, Han Q-L, Ning B, Ge X, Zhang X-M. An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems. IEEE Trans Indust Inform 2018;14(6):2322–34 Zuo Z, Han Q-L, Ning B, Ge X, Zhang X-M. An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems. IEEE Trans Indust Inform 2018;14(6):2322–34
20.
Zurück zum Zitat Li Z, Ji H. Distributed consensus and tracking control of second-order time-varying nonlinear multi-agent systems. Int J Robust and Nonlinear Control. 2017;27(17):3549–63. Li Z, Ji H. Distributed consensus and tracking control of second-order time-varying nonlinear multi-agent systems. Int J Robust and Nonlinear Control. 2017;27(17):3549–63.
21.
Zurück zum Zitat Hong H, Yu W, Wen G, Yu X. Distributed robust fixed-time consensus for nonlinear and disturbed multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 2017;47(7):1464–73 Hong H, Yu W, Wen G, Yu X. Distributed robust fixed-time consensus for nonlinear and disturbed multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 2017;47(7):1464–73
22.
Zurück zum Zitat Rahimi N, Binazadeh T, Shasadeghi M. Observer-Based Consensus of Higher-Order Nonlinear Heterogeneous Multiagent Systems with Unmatched Uncertainties: Appl Robot Syst. Robotica. 2020;38(9):1605–26 Rahimi N, Binazadeh T, Shasadeghi M. Observer-Based Consensus of Higher-Order Nonlinear Heterogeneous Multiagent Systems with Unmatched Uncertainties: Appl Robot Syst. Robotica. 2020;38(9):1605–26
23.
Zurück zum Zitat You X, Hua C-C, Peng D, Guan X-P. Leader-following consensus for multi-agent systems subject to actuator saturation with switching topologies and time-varying delays. IET Control Theory and Applications. 2016;10(2):144–50 You X, Hua C-C, Peng D, Guan X-P. Leader-following consensus for multi-agent systems subject to actuator saturation with switching topologies and time-varying delays. IET Control Theory and Applications. 2016;10(2):144–50
24.
Zurück zum Zitat Zheng Y, Wang L. Distributed consensus of heterogeneous multi-agent systems with fixed and switching topologies. Int J Control. 2012;85(12):1967–76 Zheng Y, Wang L. Distributed consensus of heterogeneous multi-agent systems with fixed and switching topologies. Int  J Control. 2012;85(12):1967–76
25.
Zurück zum Zitat Song G, Tao G. Adaptive leader-following state consensus of multiagent systems with switching topology. Int J Adapt Control Signal Process. 2018;32(10):1508–28. Song G, Tao G. Adaptive leader-following state consensus of multiagent systems with switching topology. Int J Adapt Control Signal Process. 2018;32(10):1508–28.
26.
Zurück zum Zitat Li H, Liao X, Huang T, Zhu W, Liu Y. Second-order global consensus in multiagent networks with random directional link failure. IEEE Transactions on Neural Networks and Learning Systems. 2015;26(3):565–75. Li H, Liao X, Huang T, Zhu W, Liu Y. Second-order global consensus in multiagent networks with random directional link failure. IEEE Transactions on Neural Networks and Learning Systems. 2015;26(3):565–75.
27.
Zurück zum Zitat Zhang X, Liu X. Consensus of second-order multi-agent systems with disturbances generated by nonlinear exosystems under switching topologies. J Franklin Institute. 2014;351(1):473–86. Zhang X, Liu X. Consensus of second-order multi-agent systems with disturbances generated by nonlinear exosystems under switching topologies. J Franklin Institute. 2014;351(1):473–86.
28.
Zurück zum Zitat Ding Z. Consensus Disturbance Rejection With Disturbance Observers. IEEE Transactions on Industrial Electronics. 2015;62(9):5829–37 Ding Z. Consensus Disturbance Rejection With Disturbance Observers. IEEE Transactions on Industrial Electronics. 2015;62(9):5829–37
29.
Zurück zum Zitat Hou Z-G, Cheng L, Tan M. Decentralized robust adaptive control for the multiagent system consensus problem using neural networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). 20089;39(3):636–47. Hou Z-G, Cheng L, Tan M. Decentralized robust adaptive control for the multiagent system consensus problem using neural networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). 20089;39(3):636–47.
30.
Zurück zum Zitat Zou W, Zhou C, Guo J, Xiang Z. Global Adaptive Leader-Following Consensus for Second-Order Nonlinear Multiagent Systems With Switching Topologies. IEEE Transactions on Circuits and Systems II: Express Briefs. 2021;68(2):702–06. Zou W, Zhou C, Guo J, Xiang Z. Global Adaptive Leader-Following Consensus for Second-Order Nonlinear Multiagent Systems With Switching Topologies. IEEE Transactions on Circuits and Systems II: Express Briefs. 2021;68(2):702–06.
31.
Zurück zum Zitat Zhang W, Tang Y, Liu Y, Kurths J. Event-triggering containment control for a class of multi-agent networks with fixed and switching topologies. IEEE Transactions on Circuits and Systems I: Regular Papers. 2017;64(3):619–29. Zhang W, Tang Y, Liu Y, Kurths J. Event-triggering containment control for a class of multi-agent networks with fixed and switching topologies. IEEE Transactions on Circuits and Systems I: Regular Papers. 2017;64(3):619–29.
32.
Zurück zum Zitat Ge S, Wang C. Adaptive neural control of uncertain mimo nonlinear systems. IEEE Trans Neural Netw. 2004;15(3):674–92. Ge S, Wang C. Adaptive neural control of uncertain mimo nonlinear systems. IEEE Trans Neural Netw. 2004;15(3):674–92.
33.
Zurück zum Zitat Li H, Zhang J, Jing L, Ying W. Neural-network-based adaptive quasi-consensus of nonlinear multi-agent systems with communication constrains and switching topologies. Nonlinear Analysis: Hybrid Systems. 2020;35:100833. Li H, Zhang J, Jing L, Ying W. Neural-network-based adaptive quasi-consensus of nonlinear multi-agent systems with communication constrains and switching topologies. Nonlinear Analysis: Hybrid Systems. 2020;35:100833.
34.
Zurück zum Zitat Wang W, Tong S. Observer-based adaptive fuzzy containment control for multiple uncertain nonlinear systems. IEEE Trans Fuzzy Syst. 2019;27(11):2079–89. Wang W, Tong S. Observer-based adaptive fuzzy containment control for multiple uncertain nonlinear systems. IEEE Trans Fuzzy Syst. 2019;27(11):2079–89.
35.
Zurück zum Zitat Mei J, Ren W, Li B, Ma G. Distributed containment control for multiple unknown second-order nonlinear systems with application to networked lagrangian systems. IEEE Trans Neural Netw Learn Syst. 2015;26(9):1885–99 Mei J, Ren W, Li B, Ma G. Distributed containment control for multiple unknown second-order nonlinear systems with application to networked lagrangian systems. IEEE Trans Neural Netw Learn Syst. 2015;26(9):1885–99
36.
Zurück zum Zitat Zhang J, Han Z, Zhu F, Huang J. Stability and stabilization of positive switched systems with mode-dependent average dwell time. Nonlinear Analysis: Hybrid Systems. 2013;9:42–55. Zhang J, Han Z, Zhu F, Huang J. Stability and stabilization of positive switched systems with mode-dependent average dwell time. Nonlinear Analysis: Hybrid Systems. 2013;9:42–55.
37.
Zurück zum Zitat Zhang X, Liu X. Consensus of linear multi-agent systems with exogenous disturbance generated from heterogeneous exosystems. Int J Syst Sci. 2017;48(15):3147–59. Zhang X, Liu X. Consensus of linear multi-agent systems with exogenous disturbance generated from heterogeneous exosystems. Int J Syst Sci. 2017;48(15):3147–59.
Metadaten
Titel
Neural Network-Based Adaptive Containment Control Algorithms Design for Nonlinear Multiagent Systems with Switching Topologies
verfasst von
Jie Huang
Xin Wang
Rui Xu
Publikationsdatum
07.12.2022
Verlag
Springer US
Erschienen in
Cognitive Computation / Ausgabe 1/2023
Print ISSN: 1866-9956
Elektronische ISSN: 1866-9964
DOI
https://doi.org/10.1007/s12559-022-10082-8