网络化控制系统的非脆弱H_∞控制  

Non-fragile H_∞ Control of Networked Control Systems

作　　者：张磊 王思明 ZHANG Lei;WANG Si-ming(School of Automation and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学自动化与电气工程学院

出　　处：《小型微型计算机系统》2019年第10期2092-2096,共5页Journal of Chinese Computer Systems

基　　金：国家自然科学基金项目(61263004)资助

摘　　要：本文研究了在控制器参数摄动情况下的网络化控制系统的非脆弱H∞控制,并考虑网络诱导时延和数据丢失.首先,为了消除网络诱导时延和控制器参数摄动对被控系统的影响,设计了加性非脆弱状态反馈H∞控制器,并将数据的丢包的过程用马尔可夫链来描述,将网络化控制系统建模为具有网络诱导时延和控制器参数摄动的马尔可夫跳变系统.其次,为了得到闭环控制系统H∞渐近稳定的充分条件,用Lyapunov稳定性理论和线性矩阵不等式方法来进行求解.最后,通过使用LMI工具箱求解线性矩阵不等式,从而得到控制器增益参数表达式.仿真结果表明,与传统控制器相比,在控制器存在参数摄动的情况下,非脆弱控制器能够在满足设定的H∞性能指标的同时使被控系统渐近稳定.The non-fragile H_∞ control of networked control system with parameter perturbations is discussed under the condition of considering network-induced delay and data loss in this paper. Firstly,an additive non-fragile state feedback controller H_∞ is designed to eliminate the influence of network-induced delay and controller parameter perturbation on the controlled system. At the same time,the process of data packet loss is described by Markov chain,and the networked control system is modeled as a Markov jump system with network-induced delay and controller parameter perturbation. Secondly,Lyapunov stability theory and linear matrix inequality method are applied to solve the problem for obtaining sufficient conditions for asymptotic stability of closed-loop control systems H_∞. Finally,the gain parameter expression of the controller is obtained by using LMI toolbox to solve linear matrix inequalities. The simulation results show that the non-fragile controller can satisfy the set H_∞ in the presence of parameter perturbation and make the controlled system asymptotically stable compared with the traditional controller.

关 键 词：网络化控制系统 非脆弱控制器 线性矩阵不等式 控制器参数摄动 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]