系统仿真学报 ›› 2018, Vol. 30 ›› Issue (9): 3578-3585.doi: 10.16182/j.issn1004731x.joss.201809045

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网络控制系统的事件触发与$H_{\infty}$控制协同设计

付敬奇, 吴杰, 沈卫利   

  1. 上海大学机电工程与自动化学院,上海 200072
  • 收稿日期:2016-11-03 出版日期:2018-09-10 发布日期:2019-01-08
  • 作者简介:付敬奇(1962-),男,上海,博士,教授,研究方向为无线传感器网络; 吴杰(1991-),男,浙江衢州,硕士,研究方向为事件触发网络控制系统;沈卫利(1994-),女,浙江湖州,硕士生,研究方向为事件触发网络控制系统。
  • 基金资助:
    上海市科委支持项目(17511107002)

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

摘要: 针对无线网络时变延时和通讯信道带宽对网络控制系统(NCSs)的影响,提出了一种事件触发控制机制,并设计了相应的$H_{\infty}$协同控制。构建了NCSs的时滞数学模型,针对事件触发器与零阶保持器间的无线网络时变延时,设计了一种改进的事件触发机制利用李亚普诺夫-克洛索夫斯基泛函分析和线性矩阵不等式方法,证明了时滞独立的$H_{\infty}$稳定性,并给出了求解事件触发机制参数和状态反馈H控制的协同设计方法。采用倒立摆系统进行了仿真实验,验证了提出方法的有效性。

关键词: 事件触发机制, 李亚普诺夫-克洛索夫斯基泛函, $H_{\infty}$稳定性, 协同设计

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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