一类不确定T-S模糊系统的H_∞跟踪控制  

H_∞ Tracking Control for a Class of Uncertain T-S Fuzzy Systems

作　　者：王艳华[1] 王志飞[1] 

机构地区：[1]朝阳师范高等专科学校数学计算机系,辽宁朝阳122000

出　　处：《湖北文理学院学报》2014年第8期11-15,共5页Journal of Hubei University of Arts and Science

摘　　要：研究一类带有状态参数不确定项和外部扰动的T-S模糊系统.首先,在不确定项满足有界的条件下,通过设计模糊反馈控制器,对于给定的H∞跟踪性能p,使系统对于有界参考状态尽可能减少跟踪误差;其次,通过求解线性矩阵不等式,获得满足H∞跟踪性能p的控制器增益,并基于Lyapunov稳定性理论证明在此模糊反馈控制率下形成的闭环系统是二次稳定的.数值算例表明,该方法是可行的.A class of uncertain fuzzy systems in existence of state parameters perturbations and externaldisturbances was studied, First, on the condition that the uncertain was gain bounded, a fuzzy feedback controllerwith the given Hoo tracking performance was developed to reduce the tracking error as far as possible for allbounded referce inputs; Next, by solving linear matrix inequation（LMI）, conrol gains would be found tosatisfy Hoo tracking performance, at the same time, based on Lyapunov theory and the fuzzy feedback controller, itwas proven that the closed-loop system has quadratic stability; Finally, the simulation example was employed toillustrate the feasibility and correctness of the proposed method.

关 键 词：T-S模糊模型 H∞跟踪控制 线性矩阵不等式(LMI) 

分 类 号：O231.2[理学—运筹学与控制论]