Model reference adaptive synchronization of T-S fuzzy discrete chaotic systems using output tracking control

Won Ki Lee, Chang Ho Hyun, Heejin Lee, Euntai Kim, Mignon Park

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

This paper presents a model reference adaptive control approach for the synchronization of a discrete-time chaotic systems using output tracking control. The reference model system is chosen using the output of master system and Takagi-Sugeno (T-S) fuzzy model is employed to represent the discrete-time chaotic slave system. Design the control input so that the controlled slave system achieves asymptotic synchronization with the reference system given that two systems start from different initial conditions, different parameters and/or different type of model. Using a gradient algorithm, the ideal controller gains which can stabilize the error equation are estimated. Simulation examples of two cases are given to demonstrate the validity of our proposed adaptive method.

Original languageEnglish
Pages (from-to)1590-1598
Number of pages9
JournalChaos, Solitons and Fractals
Volume34
Issue number5
DOIs
Publication statusPublished - 2007 Dec 1

Fingerprint

Adaptive Synchronization
Reference Model
Tracking Control
Discrete Systems
Chaotic System
Output
Discrete-time Systems
Synchronization
Model Reference Adaptive Control
Takagi-Sugeno Fuzzy Model
Gradient Algorithm
Adaptive Method
Initial conditions
Controller
Demonstrate
Simulation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Lee, Won Ki ; Hyun, Chang Ho ; Lee, Heejin ; Kim, Euntai ; Park, Mignon. / Model reference adaptive synchronization of T-S fuzzy discrete chaotic systems using output tracking control. In: Chaos, Solitons and Fractals. 2007 ; Vol. 34, No. 5. pp. 1590-1598.
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Model reference adaptive synchronization of T-S fuzzy discrete chaotic systems using output tracking control. / Lee, Won Ki; Hyun, Chang Ho; Lee, Heejin; Kim, Euntai; Park, Mignon.

In: Chaos, Solitons and Fractals, Vol. 34, No. 5, 01.12.2007, p. 1590-1598.

Research output: Contribution to journalArticle

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