Adaptive fuzzy control for chaotic systems with \(H_{\infty}\) tracking performance.
type: Item
instance of: scholarly article
title: Adaptive fuzzy control for chaotic systems with \(H_{\infty}\) tracking performance.
zbMATH Open document ID: 1053.93022
DOI: 10.1016/S0165-0114(02)00573-0
author: Cailian Chen
author: Xinping Guan
published in: Fuzzy Sets and Systems
publication date: 2003-09-25T00:00:00Z
review text: Adaptive fuzzy theory is employed to propose the control law and \(H_{\infty}\) tracking performance for a chaotic system, including the measured states, unknown nonlinear functions and exogenous disturbances. The presented algorithm is used to design a controller with a higher degree of uncertainties such as completely unknown functions rather than only unknown parameters. At the same time, the adaptive laws of adjustable parameters of the fuzzy logic system are obtained. All the unknown nonlinear functions are estimated by dynamic fuzzy approximators so that the adaptive fuzzy control approach can be employed for chaotic systems. Moreover, an \(H_{\infty}\) control method is applied to attenuate the effect of the modeling errors and disturbances in tracking control. This paper is briefly outlined as follows: Section 2 presents the chaotic system described by fuzzy models. In Section 3, the design approach for the chaotic system is proposed. The publication ends with an example.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 1985932
zbMATH Keywords: Fuzzy control
zbMATH Keywords: Chaotic system
zbMATH Keywords: \(H_\infty\) tracking performance
zbMATH Keywords: robust adaptive control
zbMATH Keywords: disturbances
zbMATH Keywords: fuzzy approximators
reviewed by: George S. Stavrakakis
MaRDI profile type: Publication
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full work available at URL: s0165-0114(02)00573-0
OpenAlex ID: W2015697353
description: scientific article; zbMATH DE number 1985932