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.
Similar content being viewed by others
References
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)
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
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
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)
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)
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)
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)
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)
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)
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)
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)
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)
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
Zhang, X.F., Liu, L., Feng, G.: Leader-follower consensus of time-varying nonlinear multi-agent systems. Automatica 52, 8–14 (2015)
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
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)
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)
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)
Wang, X., Ji, H.: Leader-follower consensus for a class of nonlinear multiagent systems. Int. J. Control Autom. Syst. 10(1), 27–35 (2012)
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)
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)
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
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)
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)
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)
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)
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)
Praly, L.: Asymptotic stabilization via output feedback for lower trianhular systems with dependent increment rates. IEEE Trans. Autom. Control 48(6), 1103–1108 (2013)
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)
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)
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)
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
Corresponding author
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
About this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-021-06713-8