摘要
针对一类含有不确定参数的离散时滞系统,研究了当传感器发生增益故障情况下的静态输出反馈鲁棒H∞容错控制器设计问题.系统中的参数不确定性满足广义匹配条件,传感器元件具有部分增益故障.根据Lya-punov稳定性理论和线性矩阵不等式(LMI)方法,分别给出了含有时滞记忆和无时滞记忆静态输出反馈鲁棒容错镇定控制器以及静态输出反馈H∞容错控制器的存在条件.通过求解一组线性矩阵不等式可以得到使得闭环系统渐近稳定并且H∞范数小于给定界γ的鲁棒容错控制器.最后通过仿真示例说明本文提出设计方法的正确性.
The problem of static output feedback robust H∞, fault tolerant control for uncertain discrete-tlme delayed systems was investigated. The considered system was assumed to have generalized matched parametric uncertainties and the output signals of the sensors have part gain faults. By using Lyapunov stability theory, the sufficient conditions for the existence of both memory and memoryless robust fault tolerant stabilization controllers were given in terms of linear matrix inequalities. Based on the solutions of a group of linear matrix inequalities, the robust H∞ fault tolerant controllers were designed. Numerical examples were given to illustrate the validity of our results.
出处
《浙江大学学报(理学版)》
CAS
CSCD
北大核心
2006年第3期290-294,299,共6页
Journal of Zhejiang University(Science Edition)
基金
国家自然科学基金资助项目(No.60473129
60473129
60534070)
关键词
不确定离散时滞系统
静态输出反馈
容错控制
鲁棒H∞控制
线性矩阵不等式
uncertain discrete-time delayed systems
static output feedback
fault tolerant control
robust H∞, con-trol
linear matrix inequality