时变时滞不确定线性系统的鲁棒控制
On Robust Control of Uncertain Time-varying
采用积分不等式方法,研究同时具有时变状态时滞和时变输入时滞的不确定线性系统,给出了具有时滞依赖的 控制器设计方法。通过构造合适的Lyapunov-Krasovskii函数,所得结果用一组线性矩阵不等式(LMI)表示,其中包含了状态反馈控制器的时滞依赖条件。数值实例证明了本文提出的方法具有更小的保守性。
he problem of robustly control for linear systems with state and input-time-varying delay is studied in terms of integral inequality. The design method of H∞ control law with time-delay dependent condition is derived for this class of uncertain system based on Linear Matrix Inequality (LMI) through the conformation of appropriate Lyapunov-Krasovskii function. The time-delay dependent condition of state-feedback controller is included in the result. Numerical examples are used to demonstrate the validity of the proposed method.
邵诚、闫敏
自动化基础理论
输入时滞状态时滞鲁棒 控制线性矩阵不等式(LMI)
input delaystate delayrobust controllinear matrix inequality (LMI)
邵诚,闫敏.时变时滞不确定线性系统的鲁棒控制[EB/OL].(2008-11-24)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200811-663.点此复制
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