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基于LMI的网络化控制系统鲁棒容错控制器的设计
引用本文:李炜,李亚洁.基于LMI的网络化控制系统鲁棒容错控制器的设计[J].兰州理工大学学报,2008,34(2):74-79.
作者姓名:李炜  李亚洁
作者单位:兰州理工大学,电气工程与信息工程学院,甘肃,兰州,730050
基金项目:甘肃省自然科学基金 , 甘肃省教育厅高等学校研究生导师科研项目
摘    要:研究一类带有未知扰动的网络化控制系统的鲁棒容错控制问题.针对NCSs的时延和不同步对系统性能产生的影响,将时延的不确定性转换为系统状态方程系数矩阵的不确定性,将网络化控制系统的状态向量扩展为增广状态向量.基于Lyapunov稳定性理论和LMI方法,系统采用状态反馈控制策略,推证出保证闭环网络化控制系统在执行器或传感器发生失效故障时仍渐近稳定的充分条件,通过求解线性矩阵不等式组方便地得到容错控制器的设计方法.用仿真算例验证此种方法的可行性、有效性以及通用性.

关 键 词:不确定扰动  鲁棒性容错控制  不确定时延  网络化控制系统  线性矩阵不等式
文章编号:1673-5196(2008)02-0074-06
修稿时间:2007年9月29日

Design of robust fault-tolerant controller based on LMI for networked control systems
LI Wei,LI Ya-jie.Design of robust fault-tolerant controller based on LMI for networked control systems[J].Journal of Lanzhou University of Technology,2008,34(2):74-79.
Authors:LI Wei  LI Ya-jie
Abstract:A class of problems of robust fault-tolerant control for networked control systems(NCSs) with unknown disturbance was investigated.The uncertainty of network-induced delays was converted to that of coefficient matrix of system state equation.Meantime,in order to eliminate the effect of the asynchronism on the system performance, the state vector of the networked control system was enlarged to an augmented state vector.Based on Lyapunov stability theory and linear matrix inequality(LMI) procedure and by using the strategy of state feedback control,the sufficient conditions of asymptotical stability of closed-loop networked control systems, which could be guaranteed even in the case of failures of the sensor or actuator.The robust fault-tolerant controller was further designed by solving the system of linear matrix inequalities.A numerical example was given to demonstrate effectiveness,feasibility,and universality of the proposed approach.
Keywords:uncertain disturbance  robust fault-tolerant control  uncertain time-delay  networked control systems  linear matrix inequality
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