Delay-Dependent Robust State Observer Design for Time-Delay Uncertain Systems with Nonlinear Perturbations
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摘要: 研究一类具有非线性扰动的不确定时滞系统的时滞相关鲁棒稳定性及其基于观测器 的时滞相关鲁棒控制问题.将线性矩阵不等式(LMI,1inear matrix inequality)与数值不等式 (AVI,algebraic value inequality)方法相结合给出了开环系统渐近稳定及其指数稳定的时滞相 关条件.并设计了系统的观测器,给出了该系统基于观测器的时滞相关可镇定条件.Abstract: This paper is concerned with the problem of delay-dependent robust stability and observer-based robust control of a class of time-delay uncertain systems with nonlinear perturbations. The robustly stable or exponentially stable sufficient conditions which depend on the size of delay of systems are discussed {or open-loop systems by using linear matrix inequality(LMI) incorporated with algebraic value inequality (AVI) approach. Furthermore, we design the state observer of the system and obtain delay-dependent controllable sufficient conditions.
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