一类离散奇异Markovian跳变系统的非脆弱H_∞控制  

Non-fragile H_∞ Control for a Class of Discrete-time Singular Markovian Jump System

作　　者：冉华军[1] 张涛[1] 

机构地区：[1]三峡大学电气与新能源学院,湖北宜昌443002

出　　处：《三峡大学学报（自然科学版）》2011年第2期92-99,共8页Journal of China Three Gorges University：Natural Sciences

基　　金：国家自然科学基金项目(60874059);三峡大学人才科研启动基金项目(0620100030)

摘　　要：本文研究了一类离散奇异Markovian跳变系统的非脆弱H∞问题.首先针对标称离散奇异Markovian跳变系统,得到考虑控制器参数摄动后不确定闭环系统的关于鲁棒随机可容许性及H∞扰动衰减性能分析的结论;然后推导出标称离散奇异Markovian跳变系统非脆弱H∞控制器的设计方法,该方法表明可通过求解一组耦合线性矩阵不等式来构建非脆弱H∞控制器;最后将标称系统的结果进一步推广到考虑系统不确定性的鲁棒非脆弱H∞控制器设计.The problem of non-fragile H∞ control for a class of discrete-time singular Markovian jump system is studied. Considering nominal system with controller in the presence of parameter variation, a sufficient condition is first established in terms of some coupled matrix inequalities on robust stochastical admissibility and H, disturbance attenuation property for resulting closed-loop uncertain system. Then the sufficient condition on non-fragile state feedback H∞ controller is presented. It is shown that non-fragile state feedback H∞ controller can be constructed through numerical solusion of a set of coupled linear matrix inequalities. Finally, the result with repect to nominal system is extended to robust non-fragile H∞ controller design for uncertain discrete-time singular Markovian jump system.

关 键 词：离散奇异Markovian跳变系统 非脆弱 鲁棒 H∞ 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]