不确定时滞奇异摄动系统的鲁棒H_∞控制  

Robust H_∞ Control for Uncertain Singular Perturbed Systems With Time Delay

作　　者：王岩岩[1] 刘伟 汪志鸣[2] 

机构地区：[1]周口师范学院数学与统计学院,河南周口466001 [2]华东师范大学数学系,上海200241

出　　处：《北京工业大学学报》2016年第2期217-222,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金项目资助项目(11171113);河南省基础与前沿技术研究计划项目(142300410324)

摘　　要：针对一类不确定时滞奇异摄动系统的鲁棒H_∞控制问题,利用线性矩阵不等式技巧和Lyapunov稳定性理论,获得闭环系统渐近稳定且不依赖于小参数的充分条件.同时,给出控制器设计方法.通过求解广义特征值问题,给出系统在确定的H_∞性能指标下参数上界的有效计算方法.最后,2个数值仿真算例验证了该方法的有效性.This paper studies the robust H_∞ control problem for a class of uncertain singularly perturbed systems with state delay.Based on linear matrix inequalities and Lyapunov method,a sufficient condition for asymptotic stability of the closed-loop systems is derived,in which the criterion presented is independent of the small parameter.Meanwhile,the controller is designed.In addition,the upper bound for the systems with the given H_∞ performance is obtained by solving a generalized eigenvalue problem(GEVP).Finally,two numerical examples are presented to illustrate the effectiveness of the proposed method.

关 键 词：奇异摄动系统 鲁棒控制 线性矩阵不等式 H∞控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]