基于LMI的不确定离散模糊时滞系统鲁棒控制  

Robust Control for Uncertain Discrete Time-delay Fuzzy Systems via LMI Approach

作　　者：陈志盛[1] 孙克辉[1] 张泰山[1] 李勇刚[1] 

机构地区：[1]中南大学信息科学与工程学院,长沙410083

出　　处：《控制与决策》2006年第3期352-355,360,共5页Control and Decision

基　　金：湖南省自然科学基金项目(04JJ3077)

摘　　要：利用T-S模糊模型,讨论了一类具有状态时滞和控制输入时滞的不确定离散非线性系统鲁棒控制问题.基于Lyapunov稳定性理论,导出了系统采用线性矩阵不等式表示的时滞相关型鲁棒镇定充分条件,并设计了相应的状态反馈模糊控制器.仿真结果证明了所提出方法的有效性和可行性.By using T-S fuzzy model, the robust control problem for a class of uncertain discrete-time nonlinear systems with delays in state and control input is studied. Based on Lyapunov stability theory, sufficient conditions of delay-dependent robust stabilization for the nonlinear delay systems are obtained. Design method for the state feedback fuzzy controller is derived in terms of linear matrix inequality. A simulation example shows the practical applicability of the proposed method.

关 键 词：离散时滞系统 T-S模糊模型 时滞相关 鲁棒控制 线性矩阵不等式 

分 类 号：TP271.9[自动化与计算机技术—检测技术与自动化装置]