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基于T—S模型的不确定切换系统的鲁棒H∞可靠控制
引用本文:丁德锐,梁艳.基于T—S模型的不确定切换系统的鲁棒H∞可靠控制[J].安徽机电学院学报,2009(4):56-60,72.
作者姓名:丁德锐  梁艳
作者单位:[1]安徽工程科技学院应用数理系,安徽芜湖241000 [2]安徽工程科技学院管理工程系,安徽芜湖241000
基金项目:基金项目:国家自然科学基金资助项目(10826098);安徽省高校自然科学基金资助项目(kj2008b143) 安徽工程科技学院青年基金资助项目(2007yq017)
摘    要:提出一种基于局部T-S模型不确定切换系统的可靠控制方法,将输入空间划分为若干个区域,在每一区域内构建局部T-S模型并设计相应的控制器;这样由于模糊论域的变小而提高了逼近精度,然后再通过多模型切换控制,实现对整体非线性系统的逼近与控制.在此,利用并行分布补偿技术(PDC),借助于LMI和凸优化方法,得出系统鲁棒凡可靠控制器的解析式.

关 键 词:T—S模糊模型  切换系统  凸优化  可靠控制  H∞

Robust H∞ reliable control for uncertain switching system based on T-S models
DING De-rui,Liang Yan.Robust H∞ reliable control for uncertain switching system based on T-S models[J].Journal of Anhui Institute of Mechanical and Electrical Engineering,2009(4):56-60,72.
Authors:DING De-rui  Liang Yan
Affiliation:1. Dept. of Appl. Math. & Phy. , Anhui University of Technology and Science, Wuhu 241000, China; 2. Dept. of Mana. , Anhui University of Technology and Science, Wuhu 241000, China)
Abstract:An uncertain switching reliable control method was proposed for nonlinear systems based on local T-S models, which divides the input space into multiple regions with T-S models and controls in every region. This method improves precision as the fuzzy domain decreases. The approach and control of this nonlinear system is established by the multiple-model switching control. Based on the technique of parallel distributed compensator (PDC), a robust H∞ reliable controller ensuring the closed-loop system to be regionally stable is designed by means of the linear matrix inequality and convex optimization technique.
Keywords:T-S fuzzy model  switching system  convex optimization  reliable control  H∞
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