模糊切换分布参数系统的非脆弱控制器设计  

Non-fragile Proportional Differential Controller Design for Fuzzy Switched Distributed Parameter Systems

作　　者：付俊 刘俊辉 朱阳陈 FU Jun;LIU Jun-hui;ZHU Yang-chen(Information Engineering College,Luoyang Railway Information Engineering School,Luoyang 471023,China;Information Engineering College,Henan University of Science and Technology,Luoyang 471023,China)

机构地区：[1]洛阳铁路信息工程学校,河南洛阳471023 [2]河南科技大学信息工程学院,河南洛阳471023

出　　处：《火力与指挥控制》2020年第9期72-76,82,共6页Fire Control & Command Control

摘　　要：针对非线性切换分布参数系统,研究了非脆弱模糊控制。基于T-S模糊建模理论,将非线性切换分布参数系统进行T-S模型重构;并利用李雅普诺夫稳定性理论,研究非线性切换分布参数系统的稳定性分析问题,给出以设计模糊比例-空间微分控制器使全局渐进稳定的稳定性分析条件,并且考虑了耗散性能指标;采用线性矩阵不等式技术,设计了能够镇定闭环系统的切换分布参数非脆弱模糊控制器。通过对一类反应扩散过程举例仿真说明了控制器设计方法的有效性。This paper studies non-fragile fuzzy control for nonlinear switched distributed parameter systems.Firstly,based on the T-S fuzzy modeling theory,the nonlinear switched distribution parameter system is reconstructed by T-S model;then,using Lyapunov stability theory,the stability analysis problem of nonlinear switched distribution parameter system is studied,and the stability analysis condition of global asymptotic stability is designed by designing fuzzy proportional-space differential controller.Dissipative performance indicators;finally,a linear matrix inequality technique is used to design a non-fragile fuzzy controller that can stabilize the closed-loop system.The effectiveness of the controller design method is illustrated by an example simulation of a type of reaction diffusion process.

关 键 词：切换分布参数系统 耗散性 比例空间微分控制器 非脆弱控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]