不确定时滞离散切换广义系统的鲁棒H_∞控制  

Robust H_∞ Control for Discrete-Time Switched Singular Systems with Norm-Bounded Uncertainties and Time-Delay

作　　者：杨冬梅[1] 孟新全 

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2014年第3期309-313,共5页Journal of Northeastern University(Natural Science)

基　　金：辽宁省自然科学基金资助项目(20102058)

摘　　要：研究了一类具有不确定性和时滞依赖的离散切换广义系统的鲁棒H∞控制问题.首先,基于线性矩阵不等式基础,结合完备性理论,利用多Lyapunov函数方法,在适当的切换规则作用下,给出了这类系统对于所有容许的不确定性,鲁棒镇定且具有H∞范数界的充分条件;然后基于此条件,通过设计相应的状态反馈子控制器,得到了保证闭环系统鲁棒稳定且具有H∞范数界的时滞依赖条件.数值算例表明了该方法的有效性.The problem of robust H∞ control for a class of discrete-time singular systems with norm-bounded uncertainties and delay-dependent was investigated. Firstly, based on linear matrix inequality （LMI）, combined with complete theory, by means of the multiple Lyapunov function method, under the appropriate switching rules, a sufficient condition was proposed for the problem to be solvable with all admissible uncertainties state delay; then, based on this condition, a delay-dependent sufficient condition was proposed by designing the corresponding sub-controllers, such that the closed-loop system was guaranteed robust stable and had H∞ performance. Numerical examples show that the method is effective.

关 键 词：切换系统 广义系统 离散系统 鲁棒控制 多LYAPUNOV函数 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]