基于LMI的T-S模糊系统量化H_∞控制  

Quantized H_∞ control for T-S fuzzy systems based on LMI

作　　者：王东 吕启兴 WANG Dong(Experiment Management Center,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学实验管理中心,辽宁锦州121013 [2]山东日发纺织机械有限公司,山东聊城252000

出　　处：《渤海大学学报（自然科学版）》2018年第3期235-241,共7页Journal of Bohai University:Natural Science Edition

基　　金：国家自然科学基金项目(No:61503038)

摘　　要：本文研究了连续T-S模糊系统量化H_∞控制器的设计问题.主要目的是针对连续T-S模糊系统设计量化H_∞控制器,使该系统在闭环控制系统中,在量化误差的影响下渐进稳定并且满足给定的H_∞性能指标.具体来说,就是通过应用积分型Lyapunov函数得到保守性更低的稳定性分析条件,再通过有效的矩阵变换技术实现松弛变量的引入,从而得到保守性更低的量化H_∞控制器的设计条件.最后通过仿真算例验证了所提方法的有效性.This paper investigates the problem of designing quantized H ∞ controller for continuous -time T - S fuzzy systems. Attention is focused on the design of a quantized H∞ controller such that the close - loop con- trol system is asymptotically stable with a prescribed H∞ pefformance with respect to the effect of quantization. More specifically, less conservative conditions are expressed by introducing more slack variables and using the fuzzy Lyapunov function. Finally, a numerical example is provided to show the effectiveness of the developed ap- proach.

关 键 词：T-S模糊系统 积分型模糊Lyapunov函数 量化H∞控制 线性矩阵不等式 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]