切换广义系统的H_∞输出反馈控制  

H_∞ Output Feedback Control for A Class of Switched Singular Systems

作　　者：史书慧[1] 

机构地区：[1]沈阳工程学院基础教学部,辽宁沈阳110136

出　　处：《控制工程》2013年第2期357-361,共5页Control Engineering of China

基　　金：辽宁省博士启动基金项目(201102160)

摘　　要：针对一类切换广义系统,提出了一种更加简单易解的H∞输出反馈控制方法。基于投影引理和Finsler's引理结合线性矩阵不等式技术,给出保证闭环系统在输出反馈控制下是容许的并具有期望的H∞性能水平的严格线性矩阵不等式条件。所提出的充分条件不要求对系统模型进行坐标变换,也不需要对Lyapunov矩阵和其逆矩阵进行分解。给出的结果可经例子进行验证并可以推广到单一的广义系统和正常的切换系统。A more simpler-to-solve approach to H~ output feedback control for a class of singular switched systems is proposed in this paper. Base on the Projection lemma and Finsler＇s lemma combined with linear matrix inequality technique, strict LMI conditions are derived, under which the resulting closed-loop system guarantees the admissibility as well as a desire H ∞ performance level yvia output feedback, respectively. The proposed sufficient conditions do not require a state-coordinate transformation for the system, in the mean time, the decomposition of Lyapunov matrix and its inverse matrix is not introduced. The proposed results are verified by means of an example and extended to a single singular system and normal switched system.

关 键 词：切换广义系统 输出反馈 H∞控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]