Fuzzy adaptive controller for MIMO nonlinear systems with known and unknown control direction

被引：221

作者：

Boulkroune, A. ^{[1
]}

Tadjine, M. ^{[2
]}

M'Saad, M. ^{[3
]}

Farza, M. ^{[3
]}

机构：

[1] Univ Jijel, Dept Automat, Jijel 18000, Algeria

[2] ENP, Dept Elect Engn, LCP, Algiers 16000, Algeria

[3] Univ Caen, GREYC, ENSICAEN, CNRS,UMR 6072, F-14050 Caen, France

来源：

FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 06期

关键词：

Fuzzy control; Adaptive control; Adaptation PI law; MIMO nonlinear systems; Nussbaum function; OUTPUT-FEEDBACK CONTROL; TRACKING CONTROL; NEURAL-CONTROL;

D O I：

10.1016/j.fss.2009.04.011

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper investigates fuzzy adaptive control schemes for a class of multi-input multi-output (MIMO) unknown nonlinear systems with known and unknown sign of the control gain matrix. Three fuzzy adaptive control schemes are developed. In the design of the second and third controller, we will exploit a decomposition of the control gain matrix into a symmetric positive-definite matrix, a diagonal matrix with diagonal entries +1 or -1 and a unity upper triangular matrix. The Nussbaum-type function is used to deal with the unknown control direction (i.e. the unknown sign of the control gain matrix). For updating the parameters of the fuzzy system, an adaptation proportional-integral (PI) law is proposed. Theoretical results are illustrated through two simulation examples. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.

引用

页码：797 / 820

页数：24

共 35 条

[1] How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems [J].