离散系统输出反馈强正实控制器综合
Synthesis of the Strongly Positive Real Controller with Output Feedback for Discrete-Time Systems
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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.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.
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