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Practical Tracking Control for High-order Nonlinear Systems With Dynamic Uncertainties and Unknown Powers via Event-triggered Mechanism

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  • Control Theory and Applications
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Abstract

This paper studies the problem of output regulation for a class of high-order nonlinear systems with dynamic uncertainties and unknown powers. Based on the characters of input-to-state stable Lyapunov function and the technique of changing supply rate, a partial-state feedback controller is designed under event-triggered mechanism framework. In the proposed control law, an adaptive dynamic gain is constructed to deal with system uncertainties and eliminate the bad effect of the event-triggered sampling error, and a term of higher power is introduced to compensate the unknown system powers. It is verified that the output tracking error converges into any prescribed small set of the origin and all the closed-loop signals are globally bounded by the proposed partial-state feedback controller, while the Zeno phenomenon is avoided. The effectiveness of the proposed scheme is verified by some simulation results.

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Jiling Ding & Weihai Zhang

  2. College of Mathematics and Computer Application Technology, Jining University, Qufu, 273155, China

    Jiling Ding

  3. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252000, China

    Junsheng Zhao

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  1. Jiling Ding
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  2. Weihai Zhang
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Correspondence to Weihai Zhang.

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The authors declare that there is no competing financial interest or personal relationship that could have appeared to influence the work reported in this paper.

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This work is supported by the National Natural Science Foundation of China under Grant 61973198.

Jiling Ding received her M.S. degree from the School of Mathematical Science from Qufu Normal University in 2008. She is currently pursuing a Ph.D. degree in the College of Electrical Engineering and Automation, Shandong University of Science and Technology. Her research interests include nonlinear control and adaptive control.

Weihai Zhang received his M.S. and Ph.D. degrees from Zhejiang University, Hangzhou, China, in 1994 and 1998, respectively. He is currently a Professor of Shandong University of Science and Technology and a Taishan Scholar of Shandong Province. His research interests include linear and nonlinear stochastic optimal control, robust H∞ control and estimation, stochastic stability, and stabilization.

Junsheng Zhao received his M.S. degree from School of Mathematical Science from Qufu Normal University in 2006 and a Ph.D. degree from the School of Automation from Southeast University, China, in 2015. Since 2018, he has been an associate professor with the School of Mathematical Sciences of Liaocheng University. His research interests include singular learning dynamics of neural networks, estimation and control, and its applications.

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Ding, J., Zhang, W. & Zhao, J. Practical Tracking Control for High-order Nonlinear Systems With Dynamic Uncertainties and Unknown Powers via Event-triggered Mechanism. Int. J. Control Autom. Syst. 22, 1201–1211 (2024). https://doi.org/10.1007/s12555-022-1248-4

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  • DOI: https://doi.org/10.1007/s12555-022-1248-4

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