An LMI-Based Criterion for Robust Absolute Stability of Uncertain Nonlinear Systems
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摘要: 讨论了前馈通道同时存在对象和控制器的范数摄动,而反馈通道存在扇区非线性的摄 动系统的稳定性问题.基于H∞理论和LMI方法,得到了一组由线性矩阵不等式表达的充分性 条件,建立了判断非线性摄动系统鲁棒绝对稳定性的新判据.Abstract: This paper is concerned with the problem of robust absolute stability of nonlinear systems under both plant and controller perturbations. Based on the popular H∞ theory and LMI approach, sufficient conditions obtained via a system of linear matrix inequality formulations are stated to guarantee both the robustness and the absolute stability under additive norm-bounded perturbations. A new criterion in terms of linear matrix inequalities for the analysis of robust absolute stability of nonlinear systems is derived.
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