不确定模糊Delta算子系统的鲁棒H_∞控制  

Robust and H-infinity control for a class of fuzzy systems using Delta operator

作　　者：向峥嵘[1] 张端金[2] 陈庆伟[1] 胡维礼[1] 

机构地区：[1]南京理工大学自动化系,江苏南京210094 [2]郑州大学信息工程学院,河南郑州450052

出　　处：《控制理论与应用》2004年第2期299-301,共3页Control Theory & Applications

基　　金：国家自然科学基金项目(60174019);河南省自然科学基金项目(0311011600).

摘　　要：研究了一类T-S模糊Delta算子系统的鲁棒H∞控制问题.首先利用LMI形式给出了模糊Delta算子系统鲁棒镇定的充分条件,然后构造了可使闭环系统鲁棒稳定且对可允许的参数变化满足H∞性能的状态反馈控制律.本文结果统一了连续与离散模糊系统的鲁棒H∞镇定设计结论,数值算例说明了方法的可行性.A robust H-infinity control scheme is developed for a class of T-S fuzzy systems using the Delta operator. First, the sufficient conditions for robust stabilization is presented by using the linear matrix inequalities (LMIs). Then, a design method is proposed for the state feedback controller that guarantees the stability of the closed-loop system and satisfies the prescribed H-infinity performance for the tolerable variations of parameters. The results have unified the continuous-time and discrete-time fuzzy systems into the Delta operator framework. An illustrative example shows the feasibility of the proposed method.

关 键 词：模糊系统 DELTA算子 不确定性 H∞控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]