Abstract
In this paper, we address the event-triggered and self-triggered output tracking problem of discrete LPV systems with network-induced delay. Considering the time delay and external disturbance, we formulate the closed-loop event-triggered output tracking problem into a time-delayed discrete polytopic linear parameter-varying system with relative event-triggering mechanism. Then, by constructing the parameter-dependent Lyapunov–Krasovskii functional, we derive a sufficient condition such that the closed-loop system is global asymptotic stable and satisfies the
output tracking performance. Further, we develop an approach to design the event-triggering mechanism and
output tracking controller. The parameters of event-triggering mechanism and the gains of output tracking controller are obtained by solving linear matrix inequalities. Moreover, we extend the results of the event-triggered control to the self-triggered
output tracking control. This not only mitigates the usage of network bandwidth but also avoids the use of additional hardware. Finally, the numerical simulation is included to illustrate the usefulness and effectiveness of the proposed approach.
Disclosure statement
No potential conflict of interest was reported by the authors.
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Notes on contributors
Jin-jie Huang
Jin-jie Huang received the B.S. and M.S. degrees in Automatic Control from Harbin University of Science and Technology, Harbin, China, in 1990 and 1997, respectively, and the Ph.D. degree in Control Theory and Control Engineering from Harbin Institute of Technology, Harbin, China, in 2004. He is currently a full Professor with the School of Automation and the School of Computer Science and Technology, Harbin University of Science and Technology, Harbin, China. His research interests include linear system control, network control system, nonlinear control system.
Xiao-zhen Pan
Xiao-zhen Pan received the B.S. and M.S. degrees in Automatic Control from Harbin University of Science and Technology, Harbin, China, in 2014 and 2017, respectively, where she is currently working towards his Ph.D. degree in Harbin University of Science and Technology. Her research interests include event-triggered control, robust control, and LPV system.
Xian-zhi Hao
Xian-zhi Hao received the B.S. and M.S. degrees in Automatic Control from Harbin University of Science and Technology, Harbin, China, in 2015 and 2017, respectively, where he is currently working towards his Ph.D. degree in Harbin University of Science and Technology. His research interests include switching control, robust control, switched system and positive linear system.