T-S模糊系统的有限时间控制  

Finite-Time Control of T-S Fuzzy Systems

作　　者：周林娜[1] 杨春雨[2] 张庆灵[3] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110819 [2]东北大学流程工业综合自动化国家重点实验室,辽宁沈阳110819 [3]东北大学系统科学研究所,辽宁沈阳110819

出　　处：《控制工程》2012年第5期877-880,884,共5页Control Engineering of China

基　　金：国家自然科学基金资助项目(60904009);中央高校基本科研业务费资助(N100406010;N090408001)

摘　　要：面向具有强非线性的复杂工业过程,利用T-S模糊模型逼近原非线性系统,把T-S模糊模型逼近非线性系统存在的误差描述成有界时变的扰动,进而提出带扰动的T-S模糊系统的有限时间控制方法。首先,给出线性系统有限时间有界性的一个充分条件,与现有结果相比,该条件具有较小的保守性,并可以处理扰动是时变的情况;然后,提出T-S模糊系统有限时间镇定控制器的设计方法;最后,给出基于线性矩阵不等式(LMI)的控制器设计算法,并通过数值算例演示所给方法的有效性。In this paper considers, complex process industry with nonlinearities are approximated by T-S fuzzy model and the errors re- suiting from approximating a nonlinear system via a T-S fuzzy model are described as time-varying and ＇norm-bounded disturbances and then proposes a finite-time control method for T-S fuzzy systems subject to disturbances. Firstly, this paper derives a sufficient condition for linear systems to be finite-time bounded. Compared with the existing result, this condition is less conservative and admits the dis- turbances to be time-varying. Then, based on the above mentioned condition, a finite-time stabilization controller design method is presented. Finally, the design method is reduced to an LMI based algorithm and illustrated by a numerical example.

关 键 词：有限时间控制 有限时间有界性 T-S模糊系统 线性矩阵不等式(LMI) 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]