基于LMI的非线性摄动系统鲁棒绝对稳定性判据

An LMI-Based Criterion for Robust Absolute Stability of Uncertain Nonlinear Systems

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 。

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.