网络控制系统的事件触发与H_∞控制协同设计  

Event-triggered Scheme and Co-design of H_∞ Control in Networked Control System

作　　者：付敬奇[1] 吴杰[1] 沈卫利 Fu Jingqi;Wu Jie;Shen Weili(Shanghai University of Mechatronic Engineering and Automation,Shanghai 200072,China)

机构地区：[1]上海大学机电工程与自动化学院,上海200072

出　　处：《系统仿真学报》2018年第9期3578-3585,共8页Journal of System Simulation

基　　金：上海市科委支持项目(17511107002)

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_∞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$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。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_∞ 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_∞ stabilization is derived, and the co-design method for gaining the trigger parameters and state feedback H_∞ 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.

关 键 词：事件触发机制 李亚普诺夫-克洛索夫斯基泛函 H∞稳定性 协同设计 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]