AN ADAPTIVE FUZZY CONTROL OF CONTINUOUS NONLINEAR SYSTEMS

被引：0

作者：

Ghorbel, C. ^{[1
]}

Abdelkrim, A. ^{[1
]}

Benrejeb, M. ^{[1
]}

机构：

[1] Ecole Natl Ingenieurs Tunis, UR LARA Automat, Tunis 1002, Tunisia

来源：

2009 6TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES, VOLS 1 AND 2 | 2009年

关键词：

Control of nonlinear systems; Takagi and Sugeno (TS) fuzzy model; adaptive control; linear matrix inequalities; (LMI); quadratic Lyapunov function; OUTPUT TRACKING CONTROL; STABILITY CONDITIONS; REGULATORS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper treats the problem of an adaptive fuzzy control of continuous nonlinear systems which contain unknown constant parameters in their state space. These systems are represented by Takagi-Sugno fuzzy model. The quadratic Lyapunov function is used in the stability analysis and the design of fuzzy controllers. A common symmetric positive definite Lyapunov matrix allows us to determine an update law to estimate the vector of the unknown constant parameters and make the global output of the Takagi-Sugeno fuzzy model track the desired output. The obtained conditions are described by linear matrix inequalities. The case of an unstable continuous nonlinear system of third order is considered to illustrate the proposed approach.

引用

页码：126 / 131

页数：6

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