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离散系统输出反馈强正实控制器综合
引用本文:曹永岩, 孙优贤. 离散系统输出反馈强正实控制器综合. 自动化学报, 1998, 24(1): 85-89.
作者姓名:曹永岩  孙优贤
作者单位:1.浙江大学工业控制技术研究所工业控制技术国家重点实验室,杭州
基金项目:国家自然科学基金,浙江大学曹光彪高科技发展基金
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,可低价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.

关 键 词:线性离散系统   输出反馈   正实性   线性矩阵不等式
收稿时间:1996-05-24

Synthesis of the Strongly Positive Real Controller with Output Feedback for Discrete-Time Systems
Cao Yongyan, Sun Youxian. Synthesis of the Strongly Positive Real Controller with Output Feedback for Discrete-Time Systems. ACTA AUTOMATICA SINICA, 1998, 24(1): 85-89.
Authors:CAO YONGYAN  SUN YOUXIAN
Affiliation:1. Institute of Industrial Process Control,Zhejiang University,Hangzhou
Abstract: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.
Keywords:Linear discrete time system   output feedback   positive realness   linear matrix inequality.  
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