Skip to main content
Log in

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

  • Published:
Cognitive Computation Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Data Availability

The data applied in this paper has been contained in the simulation parts.

References

  1. Dong X, Hu G. Time-varying formation control for general linear multi-agent systems with switching directed topologies. Automatica. 2016;73:47–55.

    Article  MathSciNet  MATH  Google Scholar 

  2. Olfati-Saber R. Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Transactions on Automatic Control. 2006;51(3):401–20.

  3. 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. 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. 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.

    Article  Google Scholar 

  6. 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. 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. 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. 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. 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. Zhang J, Chen Z, Zhang H, Feng T. Coupling effect and pole assignment in trajectory regulation of multiagent systems. Automatica. 2021;125: 109465.

    Article  MATH  Google Scholar 

  12. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. Ding Z. Consensus Disturbance Rejection With Disturbance Observers. IEEE Transactions on Industrial Electronics. 2015;62(9):5829–37

  29. 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. 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. 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. Ge S, Wang C. Adaptive neural control of uncertain mimo nonlinear systems. IEEE Trans Neural Netw. 2004;15(3):674–92.

  33. 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. 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. 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. 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. 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.

Download references

Funding

This work is supported by the Natural Science Foundation Project of Chongqing CSTC (Grant No. cstc2019jcyj-msxm2319).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xin Wang.

Ethics declarations

Ethics Approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Conflict of Interest

The authors declare no competing interests.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, J., Wang, X. & Xu, R. Neural Network-Based Adaptive Containment Control Algorithms Design for Nonlinear Multiagent Systems with Switching Topologies. Cogn Comput 15, 90–102 (2023). https://doi.org/10.1007/s12559-022-10082-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12559-022-10082-8

Keywords

Navigation