一类不确定多变量线性系统的鲁棒严格正实性分析及其输出反馈控制  

Robustly strict positive real analysis and output feedback control for a class of uncertain MIMO linear systems

作　　者：邵汉永[1] 冯纯伯[1] 

机构地区：[1]东南大学自动化研究所,南京210096

出　　处：《东南大学学报（自然科学版）》2003年第4期492-494,共3页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金重点资助项目 ( 6993 40 10 )

摘　　要：考虑了一类带有广义正实不确定性的多变量线性系统的鲁棒严格正实分析和控制问题 .通过构造增广系统 ,将这类不确定系统的鲁棒严格正实分析问题转化为确定系统的严格正实分析 ,按增广系统给出了这类不确定系统鲁棒严格正实的充分必要条件 .基于这个充分必要条件 ,考虑了这类不确定系统的鲁棒严格正实控制 .通过构造增广系统 ,将这类不确定系统的输出反馈鲁棒严格正实控制问题转化为确定系统的输出反馈严格正实设计 。The robustly strict positive real analysis and synthesis problem for a class of MIMO linear systems with generalized uncertainty are taken into account. By means of the augmented system, the robustly strict positive real analysis problem of the uncertain systems is converted into strict positive real analysis without uncertainty. Necessary and sufficient conditions are derived for the uncertain systems to be robustly strict positive real. Based on the conditions, robustly strict positive real control of the uncertain systems is considered. The output feedback robustly strict positive real control problem is turned into strict positive real control of an augmented system without uncertainties. Conditions with which the controller should be satisfied are obtained.

关 键 词：不确定动态系统 扩展严格正实 线性多变量系统 正实控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]