不确定系统LQ保代价控制的鲁棒稳定性分析  

Robust stability analysis of uncertain systems with LQ guaranteed cost control

作　　者：薛安克[1] 熊学泉[1] 孙优贤[1] 

机构地区：[1]浙江大学工业控制技术研究所

出　　处：《浙江大学学报（工学版）》2001年第2期137-141,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目! (6 98740 36 );中国博士后科学基金资助项目;浙江省自然科学重点基金资助项目!(ZD990 5 );总装备部电

摘　　要：提出了不确定系统鲁棒 L Q保代价控制的定义和概念 ,给出了非结构和一类结构不确定系统保代价控制鲁棒稳定性分析方法 ,分别建立了保代价控制的参数可变鲁棒界 .对结构不确定系统 ,还提出了一种优化鲁棒界的方法 ,并确立了可行的计算步骤 .The problem of robust stability for LQ guaranteed cost control of structured and unstructured uncertain linear systems is considered. First of all, some definitions about the problem are proposed. Then, robustness bounds for LQ guaranteed cost control systems with unstructured and a kind of structured uncertainties are derived. Furthermore, for structured uncertain systems, an algorithm to optimize the robustness bounds by choosing appropriate parameters as well as the relevant design technique are presented in the paper. Additional, a robustness analysis procedure of LQ guaranteed cost control systems for structured uncertainties is established. An example is given to illustrate the proposed methods.

关 键 词：不确定线性系统 保代价控制 鲁棒稳定性 鲁棒界 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]