Adaptive control of uncertain chaotic systems based on Takagi-Sugeno fuzzy models

C. W. Park, C. H. Lee, Jaihie Kim, M. Park

Research output: Contribution to journalArticle

Abstract

In this paper, in order to control uncertain chaotic system, an adaptive fuzzy control (AFC) scheme is developed for the multi-input/multi-output plants represented by the Takagi-Sugeno (T-S) fuzzy models. The proposed AFC scheme provides robust tracking of a desired signal for the T-S fuzzy systems with uncertain parameters. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the chaotic state tracks the state of the stable reference model (SRM) asymptotically with time for any bounded reference input signal. The suggested AFC design technique is applied to control of a uncertain Lorenz system based on T-S fuzzy model such os stabilization, synchronization and chaotic model following control (CMFC).

Original languageEnglish
Pages (from-to)2101-2117
Number of pages17
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE84-A
Issue number9
Publication statusPublished - 2001 Jan 1

Fingerprint

Takagi-Sugeno Fuzzy Model
Chaotic systems
Uncertain Systems
Adaptive Fuzzy Control
Adaptive Control
Chaotic System
Fuzzy control
Takagi-Sugeno Fuzzy Systems
Stable Models
Uncertain systems
Lorenz System
Uncertain Parameters
Reference Model
Fuzzy systems
Control Design
Closed loop systems
Closed-loop System
Boundedness
Synchronization
Stabilization

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

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abstract = "In this paper, in order to control uncertain chaotic system, an adaptive fuzzy control (AFC) scheme is developed for the multi-input/multi-output plants represented by the Takagi-Sugeno (T-S) fuzzy models. The proposed AFC scheme provides robust tracking of a desired signal for the T-S fuzzy systems with uncertain parameters. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the chaotic state tracks the state of the stable reference model (SRM) asymptotically with time for any bounded reference input signal. The suggested AFC design technique is applied to control of a uncertain Lorenz system based on T-S fuzzy model such os stabilization, synchronization and chaotic model following control (CMFC).",
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Adaptive control of uncertain chaotic systems based on Takagi-Sugeno fuzzy models. / Park, C. W.; Lee, C. H.; Kim, Jaihie; Park, M.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E84-A, No. 9, 01.01.2001, p. 2101-2117.

Research output: Contribution to journalArticle

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