二次D稳定约束下不确定T-S模糊系统的L_∞鲁棒可靠控制  

Robust reliable L_∞ control for uncertain T-S fuzzy systems with quadratic D stability constraints

作　　者：蔡俊伟[1,2] 胡寿松[3] 李志宇[1] 

机构地区：[1]南京航空航天大学自动化学院,江苏南京210016 [2]中国电子科技集团公司第二十八研究所,江苏南京210007 [3]南京航空航天大学飞行控制研究所,江苏南京210016

出　　处：《系统工程与电子技术》2010年第1期142-146,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60234010);航空科学基金(05E52031)资助课题

摘　　要：针对一类受持续有界扰动的T-S不确定模糊系统,提出了考虑执行器故障的鲁棒可靠控制器设计方法。引入基于L∞范数理论的鲁棒性能指标及二次D稳定的概念,给出了鲁棒可靠控制器存在的充分条件。通过求解线性矩阵不等式完成可靠控制器的设计,从而使系统即使在发生执行器故障的情况下仍能满足给定的L∞性能指标,并且闭环系统二次D稳定。仿真实例表明了本方法的有效性。For a class of uncertain T-S systems with persistent bounded disturbances, a design method for robust reliable controllers against actuator faults is presented. By introducing a robust performance based on the theory of L∞-norm and the notion of quadratic D stability, a sufficient condition for the exsistence of the robust reliable controllers is obtained. The design of reliable controllers can be achieved by solving linear matrix inequalities （LMI）, thus meeting the required L∞-norm performance index and making the closed-loop system be quadratic D stable even in the presence of actuator failures. Finlly, a simulaiton example illustrates the effectiveness of the proposed method.

关 键 词：T-S模糊系统 持续有界扰动 二次D稳定 线性矩阵不等式 可靠控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]