一类区间时变时滞T-S模糊系统的鲁棒控制  

Robust Control for a Class of T-S Fuzzy Systems with Interval Time-varying Delay

作　　者：王天成[1] 刘小梅[1] 李圣涛[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025

出　　处：《控制工程》2010年第5期621-624,628,共5页Control Engineering of China

基　　金：国家自然科学基金资助项目(10771122;60774016)

摘　　要：针对一类区间时变时滞T-S模糊系统,研究了其时滞相关渐近稳定性以及控制器设计问题。基于Lyapunov稳定性理论和线性矩阵不等式(LMI)工具,并结合自由权矩阵方法,设计一个包含时滞区间均值在内的新Lyapunov-Krasovskii泛函,给出了改进的时滞T-S模糊系统渐近稳定的时滞相关准则。同时,根据并行分布补偿算法,给出了带有记忆的状态反馈模糊控制器的设计方法。最后,实例仿真表明了方法的有效性。The problems of delay-dependent stability analysis and controller design for a class of T-S fuzzy systems with interval state time-varying delay are considered.Based on Lyapunov stability theory and LMI techniques,a Lyapunov-Krasovskii functional with the mean of time-delay interval is defined by using free-weighting matrices.A delay-dependent criterion is given to ensure the system asymptotically stable.By the concept of parallel distributed compensation,a delay-dependent condition for the existence of a state feedback fuzzy control law with memory is proposed.The numerical results show the feasibility and validity of the proposed approach.

关 键 词：T-S模糊系统 区间时变时滞 LYAPUNOV-KRASOVSKII泛函 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]