不确定时变时滞系统的指数稳定鲁棒H_∞可靠控制  

Robust H_∞ Reliable Control with Exponential Stabilization for Time-varying Delayed Uncertain Systems

作　　者：滕青芳[1] 高峰[1] 孙金龙[1] 

机构地区：[1]兰州交通大学自动化与电气工程学院,甘肃兰州730070

出　　处：《兰州交通大学学报》2009年第6期29-34,共6页Journal of Lanzhou Jiaotong University

基　　金：甘肃省自然科学基金(3ZS061-A25-044)

摘　　要：针对一类含有时变时滞的参数不确定线性系统,研究了在执行器发生故障情况下系统指数稳定的鲁棒H∞可靠控制器设计问题.根据Lyapunov稳定性理论,给出了系统存在指数稳定鲁棒可靠控制器应满足的一个矩阵不等式;同时给出了系统具有H∞性能指标应满足的另一个矩阵不等式.论文将这两个矩阵不等式转化为两个线性矩阵不等式(LMIs).利用论文方法设计的指数稳定鲁棒H∞可靠控制器能够使得时滞系统对于任意允许的不确定性以及任意执行器失效都保持鲁棒可靠指数稳定,并且使系统具有指定H∞范数的干扰抑制能力.仿真结果表明了该控制器设计方法的有效性.The problem of robust H∞ reliable control with exponential stabilization is investigated for time-varying delayed uncertain systems against actuator failure.Based on Lyapunov stability theory,a sufficient condition of the existing of robust reliable controller with exponential stability is given.At the same time,another sufficient condition of the existing of robust reliable controller possessing H∞ performance index is presented.Those conditions are transformed to two linear matrix inequalities（LMIs）.The resulting control systems retain robust reliable exponential stability and disturbance attenuation with H∞-norm bounds de- spite any outages of actuator. The numerical example shows that the theoretical results are valid.

关 键 词：鲁棒H∞可靠控制 指数稳定 不确定系统 时变时滞 执行器失效 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]