T-S模糊不确定系统鲁棒稳定

Robust Stabilization with Definite Attenuance of Linear Uncertain Time-delay T-S Fuzzy Systems

研究一种基于T-S模糊线性时滞不确定系统指定衰减度鲁棒稳定问题。首先利用模糊T-S模型对线性时滞不确定系统进行模糊建模,通过应用Razumikhin定理、Lyapunov定理,借助线性矩阵不等式方法,得出该系统鲁棒稳定且具有指定衰减度的充分条件,在此基础上,进一步得出具有指定衰减度的无记忆状态反馈鲁棒镇定控制率存在的充分条件及相应的控制器设计方法。

This paper concerns the problem of Robust stabilization with definite attenuance of linear uncertain time-delay T-S fuzzy systems.At first,the paper describes the system by fuzzy T-S model,A criterion of robust stability with definite attenuance and the method of designing a state feedback controller guaranteeing the system robust stable with definite attenuance are derived.Finally,numerical example is given to illustrate the effectiveness and feasibility.