Event-triggered tracking control for nonlinear time-varying delay systems with full state constraints and unknown control coefficients

Abstract

This paper addresses the problem of event-triggered control for a class of nonlinear systems with unknown control coefficients, time-varying delays, full state constraints and external disturbances, simultaneously. Firstly, based on integral Barrier-Lyapunov Functionals, an adaptive event-triggered controller is designed to account for the impacts of complete state constraints, unknown time-varying delays and external disturbances. Using fuzzy logic systems, the unknown functions of systems are then roughly estimated. The system redundancy can be significantly reduced by implementing the event-triggered control technique in the meanwhile. By introducing the separation technique and Lyapunov–Krasovskii functionals, it is shown that the strategy can ensure tracking performance greatly and all the closed-loop signals of the system are bounded. Compared with the existing results, the proposed design scheme is less conservative and has a wilder application range. Finally, the simulation results show the effectiveness of the proposed approach.

Keywords:

• Event-triggered control
• adaptive fuzzy control
• full state constraints
• time-varying delays
• Lyapunov–Krasovskii functionals
• barrier Lyapunov function

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statements

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Additional information

Notes on contributors

Shuo Xu

Shuo Xu received the B.S. degree in mathematics and applied mathematics from Hebei Normal University, Hebei, China, in 2020. He is currently a Master student from University of Science and Technology LiaoNing and majors in Operations Research and cybernetics. His research interests include event triggered control and adaptive control.

Xi-Qin He

Xiqin He received his BSc, ME and PhD degrees from Northeastern University, China, in 1987, 1996 and 2000, respectively. Currently, he is a professor and the dean of the School of Science, Liaoning University of Science and Technology, China. He has published about 70 refereed journal and conference papers. His research interests include fuzzy control theory and its application, artificial intelligence and perturbation analysis.

Li-Bing Wu

Libing Wu was born in Chaoyang, Liaoning Province, China, in 1980, received the B. S. and M. S. degrees in the Department of Mathematics from Jinzhou Normal College, Jinzhou, China, in 2004 and in Basic Mathematics from Northeastern University, Shenyang,China, in 2007, respectively and the Ph. D. degree in Control Theory and Control Engineering from Northeastern University,Shenyang, China, in 2016. He joined the Yeungnam University from 2018 to 2019 as a Postdoctoral Fellow. He is currently an Associate Professor at the the School of Science, University of Science and Technology Liaoning. His research interests include adaptive control, fault-tolerant control, nonlinear control and fault estimation.

Qing-Kun Yu

Qingkun Yu received the B.S. degree in Mathematics and Applied Mathematics from Yantai University, Yantai, China, in 2005 and the M.S. degree in Operational Research and Cybernetics from Northeastern University, Shenyang, China, in 2008. He is currently a doctoral student at the School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan. His research interests include nonlinear systems control, event-triggered control and adaptive control.