Journal of System Simulation ›› 2018, Vol. 30 ›› Issue (9): 3578-3585.doi: 10.16182/j.issn1004731x.joss.201809045

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Event-triggered Scheme and Co-design of $H_{\infty}$ Control in Networked Control System

Fu Jingqi, Wu Jie, Shen Weili   

  1. 1.Shanghai University of Mechatronic Engineering and Automation, Shanghai 200072, China
  • Received:2016-11-03 Online:2018-09-10 Published:2019-01-08

Abstract: Since the wireless network time-varying delay and communication channel bandwidth have great effects on networked control systems(NCSs), this paper studies an event-triggered scheme and a $H_{\infty}$control co-design method. Initially, a delay mathematic model of NCSs is constructed. In consideration of wireless network time-varying delay between event generator and zero order holder, this paper designs an improved event-triggered communication scheme. Furthermore, by applying a new Lyapunov-Krasovskii functional and linear matrix inequality method, a criterion for the delay-independent $H_{\infty}$ stabilization is derived, and the co-design method for gaining the trigger parameters and state feedback $H_{\infty}$ control is proposed. Finally, an inverted pendulum example is provided to illustrate the effectiveness of the proposed event-triggered scheme and the co-design method.

Key words: event-triggered scheme, Lyapunov-Krasovskii function, $H_{\infty}$ stabilization, co-design

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