摘要
基于正实引理使用线性矩阵不等式（ＬＭＩ）方法讨论了离散系统一般强正实控制问题的解，给出了任意阶输出反馈强正实控制器的存在条件．证明了给定离散系统可输出反馈强正实当且仅当三个ＬＭＩ存在一个合适解，可低阶输出反馈强正实当且仅当带秩约束条件的三个ＬＭＩ存在一个合适解．
Based on the strongly positive real lemma, this paper presents a solution to the general strongly positive real control problem for linear time invariant discrete time systems using linear matrix inequality approach. The necessary and sufficiency conditions for the existence of an output feedback controller of any order are given. It is proved that for a general discrete time systems, there is a strongly positive real controller if and only if three LMIs have a solution and there is a low order controller if and only if the LMIs constrained by a rank condition have a solution.
出处
《自动化学报》
EI
CSCD
北大核心
1998年第1期85-89,共5页
Acta Automatica Sinica
基金
国家自然科学基金
浙江大学曹光彪高科技发展基金
关键词
离散系统
正实性
线性矩阵不等式
正实控制器
Linear discrete time system, output feedback, positive realness, linear matrix inequality.
