Skip to main content
Log in

Distributed output feedback leader-following consensus for nonlinear multiagent systems with time delay

  • Original paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This paper concentrates on the output feedback control problem for a class of nonlinear multiagent systems governed by the high-order strict-feedback model with time delay. Within the dynamic gain technique and the Lyapunov-like method, the dynamic gain state observer for each agent is put forward with the hope to compensate the impact induced by the immeasurable state variables, and then the distributed leader-following consensus protocols which are independent of the time delay on the agent state are designed such that the output of each follower can asymptotically track that of the leader. Besides, the problem considered is extended into the general case where the Lipschitz growth rates of the nonlinear function are unknown time-varying functions. Finally, simulation examples are performed to illustrate the validity and effectiveness of the proposed approach.

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
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Yao, D.J., Dou, C.X., Yue, D., Zhao, N., Zhang, T.J.: Adaptive neural network consensus tracking control for uncertain multi-agent systems with predefined accuracy, Nonlinear Dynamics to be published (2020)

  2. Ma, H., Li, H., Lu, R.Q., Huang, T.W.: Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances, Science China Information Sciences, to be published (2019). https://doi.org/10.1109/TSMC.2019.2938216

  3. Li, H.Y., Wu. Y., Chen, M.: Adaptive fault-tolerant tracking control for discrete-time multi-agent systems via reinforcement learning algorithm, IEEE Transactions on Cybernetics, to be published (2020). https://doi.org/10.1109/TCYB.2020.2982168

  4. Wu, L.B., Park, J.H., Xie, X.P., Ren, Y.-W., Yang, Z.H.: Distributed adaptive neural network consensus for a class of uncertain nonaffine nonlinear multi-agent systems. Nonlinear Dyn. 100(2), 1243–1255 (2020)

    Article  Google Scholar 

  5. Liu, D.C., Liu, Z., Chen, C.L.P., Zhang, Y.: Distributed adaptive neural control for uncertain multi-agent systems with unknown actuator failures and unknown dead zones. Nonlinear Dyn. 99(2), 1001–1017 (2020)

    Article  Google Scholar 

  6. Hu, T.T., He, Z., Zhang, X.J., Zhong, S.M.: Leader-following consensus of fractional-order multi-agent systems based on event-triggered control. Nonlinear Dyn. 99(3), 2219–2232 (2020)

    Article  Google Scholar 

  7. Liu, X.L., Xiao, J.W., Chen, D.X., Wang, Y.W.: Dynamic consensus of nonlinear time-delay multi-agent systems with input saturation: an impulsive control algorithm. Nonlinear Dyn. 97(2), 1699–1710 (2019)

    Article  Google Scholar 

  8. Ye, Y.Y., Su, H.S.: Leader-following consensus of nonlinear fractional-order multi-agent systems over directed networks. Nonlinear Dyn. 96(2), 1391–1403 (2019)

    Article  Google Scholar 

  9. Shi, S., Feng, H.Y., Liu, W.H., Zhuang, G.M.: Finite-time consensus of high-order heterogeneous multi-agent systems with mismatched disturbances and nonlinear dynamics. Nonlinear Dyn. 97(2), 1317–1333 (2019)

    Article  Google Scholar 

  10. Zhang, B., Yang, C.H., Zhu, H.Q., Shi, P., Gui, W.H.: Controllable-domain-based fuzzy rule extraction for copper removal process control. IEEE Trans. Fuzzy Syst. 26(3), 1744–1756 (2018)

    Article  Google Scholar 

  11. Zhang, X.F., Feng, G., Sun, Y.H.: Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems. Automatica 97, 278–285 (2018)

    Article  Google Scholar 

  12. Chang, L., Zhang, C.H., Zhang, X.F., Chen, X.D.: Decentralised regulation of nonlinear multi-agent systems with directed network. Int. J. Control 90(11), 2338–2348 (2017)

    Article  MathSciNet  Google Scholar 

  13. Chang, L., Han, Q.L., Ge, X.H., Zhang, C.H., Zhang, X.F.: On designing distributed prescribed finite-time observers for strict-feedback nonlinear systems, IEEE Trans. Cybern. to bu published. https://doi.org/10.1109/TCYB.2019.2951067

  14. Zhang, X.F., Liu, L., Feng, G.: Leader-follower consensus of time-varying nonlinear multi-agent systems. Automatica 52, 8–14 (2015)

    Article  MathSciNet  Google Scholar 

  15. Li, H.F., Zhang, X.F., Feng, G.: Event-triggered output feedback control of switched nonlinear systems with input saturation, IEEE Trans. Cybern, to be published (2020). https://doi.org/10.1109/TCYB.2020.2965142

  16. Li, H.F., Zhang, X.F., Chang, L.: Output feedback regulation of a class of triangular structural nonlinear systems with unknown measurement sensitivity. Int. J. Syst. Sci. 50(13), 2486–2496 (2019)

    Article  MathSciNet  Google Scholar 

  17. Yoo, S.J.: Distributed consensus trakcing for multiple uncertain nonlinear strict-feedback systems under a directed graph. IEEE Trans. Neural Netw. Learn. Syst. 24(4), 666–672 (2013)

    Article  Google Scholar 

  18. Zhou, B., Chen, G., Song, Q.K., Dong, Z.Y.: Robust chance-constrained programming approach for the planning of fast-charging stations in electrified transportation networks. Appl. Energ. 262, 114480 (2020)

    Article  Google Scholar 

  19. Wang, X., Ji, H.: Leader-follower consensus for a class of nonlinear multiagent systems. Int. J. Control Autom. Syst. 10(1), 27–35 (2012)

    Article  Google Scholar 

  20. Li, Y.F., Hua, C.C., Guan, X.P.: Distributed output feedback leader following control for high-order nonlinear multiagent systems using dynamic gain method. IEEE Trans. Cybern. 50(2), 640–649 (2020)

    Article  Google Scholar 

  21. Ma, H., Li, H.Y., Liang, H.J., Dong, G.W.: Adaptive fuzzy event-triggered control for stochastic nonlinear systems with full state constraints and actuator faults. IEEE Trans. Fuzzy Syst. 27(11), 2242–2254 (2019)

    Article  Google Scholar 

  22. Xu, Y., Fang, M., Pan, Y.-J., Shi, K., Wu,Z.-G.: Event-triggered output synchronization for nonhomogeneous agent systems with periodic denial-of-service attacks, International Journal of Robust and Nonlinear Control, to be published (2020). https://doi.org/10.1002/rnc.5223

  23. Yao, D.Y., Li, H.Y., Lu, R.Q., Shi, Y.: Distributed sliding-mode tracking control of second-order nonlinear multiagent systems: An event-triggered approach. IEEE Trans. Cybern. 50(9), 3892–3902 (2020)

    Article  Google Scholar 

  24. Hua, C.C., Li, K., Guan, X.P.: Semi-global/global output consensus for nonlinear multiagent systems with time delays. Automatica 103, 480–489 (2019)

    Article  MathSciNet  Google Scholar 

  25. Li, K., Hua, C.C., You, X., Guan, X.P.: Output feedback-based consensus control for nonlinear time delay multiagent systems. Automatica 111, 108669 (2020)

    Article  MathSciNet  Google Scholar 

  26. Chen, X.D., Zhang, X.F., Zhang, C.H., Chang, L.: Global asymptotic stabilization for input-delay chained nonholonomic systems via the static gain approach. J. Franklin Inst. 35(9), 3895–3910 (2018)

    Article  MathSciNet  Google Scholar 

  27. Rao, H.X., Xu, Y., Peng, H., Lu, R.Q., Su, C.Y.: Quasi-synchronization of time delay Markovian jump neural networks with impulsive driven transmission and fading channels. IEEE Trans. Cybern. 50(9), 4121–4131 (2020)

    Article  Google Scholar 

  28. Praly, L.: Asymptotic stabilization via output feedback for lower trianhular systems with dependent increment rates. IEEE Trans. Autom. Control 48(6), 1103–1108 (2013)

    Article  Google Scholar 

  29. You, X., Hua, C.C., Yu, H.N., Guan, X.P.: Leader-following consensus for high-order stochastic multi-agent systems via dynamic output feedback control. Automatica 107, 418–424 (2019)

    Article  MathSciNet  Google Scholar 

  30. Zhang, X., Lin, Y.: A new approach to global asymptotic tracking for a class of low-triangular nonlinear systems via output feedback. IEEE Trans. Autom. Control 57(12), 3192–3196 (2012)

    Article  MathSciNet  Google Scholar 

  31. Rao, H.X., Liu, F., Peng, H., Xu, Y., Lu, R.Q.: Observer-based impulsive synchronization for neural networks with uncertain exchanging information. IEEE Trans. Neural Netw. Learn. Syst. 31(10), 3777–3787 (2020)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This paper was in part funded by National Key Research and Development Project (2018AAA0100101), in part by National Natural Science Foundation of China (61873213, 61633011), and also in part by Natural Science Foundation Project of Chongqing under Grant cstc2019jcyj-msxmX036.

Funding

This work was supported by National Natural Science Foundation of China (61873213, 61633011), and in part by National Key Research and Development Project (2018AAA0100101), and also in part by Natural Science Foundation Project of Chongqing under Grant cstc2019jcyj-msxmX036.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuandong Li.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

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

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tan, L., Li, C., He, X. et al. Distributed output feedback leader-following consensus for nonlinear multiagent systems with time delay. Nonlinear Dyn 105, 1673–1687 (2021). https://doi.org/10.1007/s11071-021-06713-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-021-06713-8

Keywords

Navigation