基于双线性矩阵不等式的H∞无穷离散时间模糊控制器设计(英文)

山东大学学报(工学版)

基于双线性矩阵不等式的H∞无穷离散时间模糊控制器设计(英文)

冯刚, M. Chen

香港城市大学制造工程及工程管理学系，香港九龙

收稿日期:2009-03-06 修回日期:1900-01-01 出版日期:2009-04-16 发布日期:2009-04-16
通讯作者: 冯刚

H∞infinity discrete time fuzzy controller design based on bilinear matrix inequality

G. Feng and M. Chen

Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong
Kowloon, Hong Kong SAR, P.R.China

Received:2009-03-06 Revised:1900-01-01 Online:2009-04-16 Published:2009-04-16

摘要/Abstract

摘要：

本文基于分片光滑Lyapunov函数,为离散模糊动态系统提出了一种H∞无穷控制综合方法.该方法的基本思想是:通过构造模糊动态系统的控制器,使得分片光滑Lyapunov函数可用来分析闭环模糊控制系统的全局稳定性及其H∞无穷性能指标.相应的控制率可通过求解一组双线性矩阵不等式而获得.最后,给出一个例子来说明本文方法的实用性.

关键词: H∞无穷控制, 离散模糊系统, 双线性矩阵不等式, 分片光滑Lyapunov函数

Abstract:

This paper presents an H∞ controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a piecewise smooth Lyapunov function can be used to establish the global stability with H∞ performance of the resulting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of Bilinear Matrix Inequalities (BMIs). An example is given to illustrate the application of the proposed method.

Key words: H∞infinity control, discretetime fuzzy dynamic system, bilinear matrix inequality, piecewise smooth Lyapunov function

中图分类号:

TP13

冯刚, M. Chen. 基于双线性矩阵不等式的H∞无穷离散时间模糊控制器设计(英文)[J]. 山东大学学报(工学版), 2009, 39(2): 37-51.

G. Feng and M. Chen. H∞infinity discrete time fuzzy controller design based on bilinear matrix inequality
[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 37-51.

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