Static output-feedback fuzzy controller for Chen's chaotic system with uncertainties

  • Authors:
  • Wook Chang;Jin Bae Park;Young Hoon Joo;Guanrong Chen

  • Affiliations:
  • Samsung Advanced Institute of Technology, P.O. Box 111, Suwon 440-600, South Korea;Department of Electrical and Computer Engineering, Yonsei University, Seoul 120-749, South Korea;School of Electronics and Information Engineering, Kunsan National University, Kunsan, Chunbuk 573-701, South Korea;Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong

  • Venue:
  • Information Sciences—Informatics and Computer Science: An International Journal
  • Year:
  • 2003

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Abstract

Static output-feedback stabilization of Chen's chaotic system with uncertainties is studied from a fuzzy control approach. An uncertain Takagi-Sugeno (TS) fuzzy model for the uncertain Chen's chaotic system is first constructed. Then, the uncertain TS fuzzy model is represented as a set of uncertain linear systems and a controller design algorithm is proposed. Specifically, a switching static output-feedback fuzzy-model-based controller is designed by solving some linear matrix inequalities (LMI), which are derived from the developed local representations. Simulation results have confirmed the effectiveness and feasibility of the proposed modeling and control methods.