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Neural-Network-Based Adaptive Consensus Control for Nonlinear Multiagent Systems Subject to Time Delays and Unknown Disturbance

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Abstract

The current investigation aims at the adaptive consensus issue for a class of nonlinear multiagent systems with time delays and unknown disturbances under a directed graph topology. A novel designed disturbance observer eliminates the impact on the consensus induced by unknown external disturbances. Furthermore, the Lyapunov–Krasovskii functional method is applied to tackle the time delays in the design process. With the approximation capability of neural networks, the adaptive controller is developed by the backstepping technique, which can alleviate the burden of computing and make the consensus tracking error converge to a small compact region. The control scheme proposed in this paper enables the nonlinear multiagent systems to achieve consensus output. Meanwhile, a numerical simulation example is performed to verify the effectiveness of the proposed scheme.

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References

  1. Zhu X, Kim Y, Merrell R, Minor MA (2007) Cooperative motion control and sensing architecture in compliant framed modular mobile robots. IEEE Trans Robot 23(5):1095–1101

    Article  Google Scholar 

  2. AboElFotoh HM, Iyengar SS, Chakrabarty K (2005) Computing reliability and message delay for Cooperative wireless distributed sensor networks subject to random failures. IEEE Trans Reliab 54(1):145–155

    Article  Google Scholar 

  3. Gustavi T, Hu X (2008) Observer-based leader-following formation control using onboard sensor information. IEEE Trans Rob 24(6):1457–1462

    Article  Google Scholar 

  4. Cai J, Wen C, Su H, Liu Z, Xing L (2016) Adaptive backstepping control for a class of nonlinear systems with non-triangular structural uncertainties. IEEE Trans Autom Control 62(10):5220–5226

    Article  MathSciNet  Google Scholar 

  5. Li H, Karray F, Basir O, Song I (2008) A framework for coordinated control of multiagent systems and its applications. IEEE Trans Syst Man Cybern Part A Syst Hum 38(3):534–538

    Article  Google Scholar 

  6. Wang FY, Ni YH, Liu ZX, Chen ZQ (2018) Containment control for general second-order multiagent systems with switched dynamics. IEEE Trans Cybern 50(2):550–560

    Article  Google Scholar 

  7. Liu Y, Yang GH (2017) Prescribed performance-based consensus of nonlinear multiagent systems with unknown control directions and switching networks. IEEE Trans Syst Man Cybern Syst 50(2):609–616

    Article  Google Scholar 

  8. Liu L, Liu YJ, Chen A, Tong S, Chen CL (2020) Integral barrier Lyapunov function-based adaptive control for switched nonlinear systems. Sci China Inf Sci 63(3):1–14

    Article  MathSciNet  Google Scholar 

  9. Lin G, Li H, Ma H, Yao D, Lu R (2020) Human-in-the-loop consensus control for nonlinear multi-agent systems with actuator faults. IEEE/CAA J Autom Sinica 9(1):111–122

    Article  MathSciNet  Google Scholar 

  10. Mei J, Ren W, Li B, Ma G (2014) Distributed containment control for multiple unknown second-order nonlinear systems with application to networked lagrangian systems. IEEE Trans Neural Netw Learn Syst 26(9):1885–1899

    Article  MathSciNet  Google Scholar 

  11. Liu GP (2018) Predictive control of networked nonlinear multiagent systems with communication constraints. IEEE Trans Syst Man Cybern Syst 50(11):4447–4457

    Article  Google Scholar 

  12. Xu Y, Wu ZG (2020) Distributed adaptive event-triggered fault-tolerant synchronization for multiagent systems. IEEE Trans Industr Electron 68(2):1537–1547

    Article  MathSciNet  Google Scholar 

  13. Li H, Wu Y, Chen M (2020) Adaptive fault-tolerant tracking control for discrete-time multiagent systems via reinforcement learning algorithm. IEEE Trans Cybern 51(3):1163–1174

    Article  Google Scholar 

  14. Dong S, Chen G, Liu M, Wu ZG (2021) Cooperative neural-adaptive fault-tolerant output regulation for heterogeneous nonlinear uncertain multiagent systems with disturbance. Sci China Inf Sci 64(7):1–12

    Article  MathSciNet  Google Scholar 

  15. Xu Y, Fang M, Pan YJ, Shi K, Wu ZG (2021) Event-triggered output synchronization for nonhomogeneous agent systems with periodic denial-of-service attacks. Int J Robust Nonlinear Control 31(6):1851–1865

    Article  MathSciNet  Google Scholar 

  16. Liu YJ, Zhao W, Liu L, Li D, Tong S, Chen CP (2021) Adaptive neural network control for a class of nonlinear systems with function constraints on states. IEEE Trans Neural Netw Learn Syst. https://doi.org/10.1109/TNNLS.2021.3107600

    Article  Google Scholar 

  17. Li Y, Qu F, Tong S (2020) Observer-based fuzzy adaptive finite-time containment control of nonlinear multiagent systems with input delay. IEEE Trans Cybern 51(1):126–137

    Article  Google Scholar 

  18. Chen K, Wang J, Zhang Y, Liu Z (2018) Leader-following consensus for a class of nonlinear strick-feedback multiagent systems with state time-delays. IEEE Trans Syst Man Cybern Syst 50(7):2351–2361

    Article  Google Scholar 

  19. He L, Zhang J, Hou Y, Liang X, Bai P (2019) Time-varying formation control for second-order discrete-time multi-agent systems With directed topology and communication delay. IEEE Access 7:33517–33527

    Article  Google Scholar 

  20. Jia Q, Han Z, Tang WK (2019) Synchronization of multi-agent systems with time-varying control and delayed communications. IEEE Trans Circuits Syst I Regul Pap 66(11):4429–4438

    Article  MathSciNet  Google Scholar 

  21. Jia Q, Han Z, Tang WK (2014) Adaptive consensus control for a class of nonlinear multiagent time-delay systems using neural networks. IEEE Trans Neural Netw Learn Syst 25(6):1217–1226

    Article  Google Scholar 

  22. Ma H, Wang Z, Wang D, Liu D, Yan P, Wei Q (2015) Neural-network-based distributed adaptive robust control for a class of nonlinear multiagent systems with time delays and external noises. IEEE Trans Syst Man Cybern Syst 46(6):750–758

    Article  Google Scholar 

  23. Ma H, Liang H, Zhou Q, Ahn CK (2018) Adaptive dynamic surface control design for uncertain nonlinear strict-feedback systems with unknown control direction and disturbances. IEEE Trans Syst Man Cybern Syst 49(3):506–515

    Article  Google Scholar 

  24. Nakao M, Ohnishi K, Miyachi K (1987) A Robust decentralized joint control based on interference estimation. In Proceedings 1987 IEEE international conference on robotics and automation, Vol. 4, pp. 326-331

  25. Zhang H, Han J, Luo C, Wang Y (2017) Fault-tolerant control of a nonlinear system based on generalized fuzzy hyperbolic model and adaptive disturbance observer. IEEE Trans Syst Man Cybern Syst 47(8):2289–2300

    Article  Google Scholar 

  26. Zhang Y, Sun J, Liang H, Li H (2018) Event-triggered adaptive tracking control for multiagent systems with unknown disturbances. IEEE Trans Cybern 50(3):890–901

    Article  Google Scholar 

  27. Ma H, Li H, Lu R, Huang T (2020) Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances. Sci China Inf Sci 63(5):1–15

    Article  MathSciNet  Google Scholar 

  28. Zhang H, Lewis FL (2012) Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Automatica 48(7):1432–1439

    Article  MathSciNet  Google Scholar 

  29. Wang X, Hong Y, Ji H (2015) Distributed optimization for a class of nonlinear multiagent systems with disturbance rejection. IEEE Trans Cybern 46(7):1655–1666

    Article  Google Scholar 

  30. Liu Y, Yang GH (2019) Fixed-time fault-tolerant consensus control for multi-agent systems with mismatched disturbances. Neurocomputing 366:154–160

    Article  Google Scholar 

  31. Zhang H, Lewis FL, Qu Z (2011) Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs. Neurocomputing 59(7):3026–3041

    Google Scholar 

  32. Yoo SJ, Park JB, Choi YH (2009) Adaptive neural control for a class of strict-feedback nonlinear systems with state time delays. IEEE Trans Neural Netw 20(7):1209–1215

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant 62276214.

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Authors and Affiliations

  1. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400044, People’s Republic of China

    Ruolan Wen, Xin Wang, Rui Xu & Ning Pang

Authors
  1. Ruolan Wen
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  2. Xin Wang
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  3. Rui Xu
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  4. Ning Pang
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Correspondence to Xin Wang.

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Wen, R., Wang, X., Xu, R. et al. Neural-Network-Based Adaptive Consensus Control for Nonlinear Multiagent Systems Subject to Time Delays and Unknown Disturbance. Neural Process Lett 55, 11885–11904 (2023). https://doi.org/10.1007/s11063-023-11401-2

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