Fuzzy adaptive synchronization of time-reversed chaotic systems via a new adaptive control strategy

  • Authors:

  • Shih-Yu Li;Cheng-Hsiung Yang;Shi-An Chen;Li-Wei Ko;Chin-Teng Lin

  • Affiliations:

  • Department of Biological Science and Technology, National Chiao Tung University, Hsinchu, Taiwan, ROC and Brain Research Center, National Chiao Tung University, Hsinchu, Taiwan, ROC;Graduate Institute of Automation and Control, National Taiwan University of Science and Technology, Taipei City, Taiwan, ROC;Department of Biological Science and Technology, National Chiao Tung University, Hsinchu, Taiwan, ROC and Brain Research Center, National Chiao Tung University, Hsinchu, Taiwan, ROC;Department of Biological Science and Technology, National Chiao Tung University, Hsinchu, Taiwan, ROC and Brain Research Center, National Chiao Tung University, Hsinchu, Taiwan, ROC;Brain Research Center, National Chiao Tung University, Hsinchu, Taiwan, ROC and Institute of Electrical Control Engineering, National Chiao Tung University, Hsinchu, Taiwan, ROC

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2013

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Abstract

A novel adaptive control strategy is proposed herein to increase the efficiency of adaptive control by combining Takagi-Sugeno (T-S) fuzzy modeling and the Ge-Yao-Chen (GYC) partial region stability theory. This approach provides two major contributions: (1) increased synchronization efficiency, especially for parameters tracing and (2) a simpler controller design. Two simulated cases are presented for comparison: Case 1 utilizes normal adaptive synchronization, whereas Case 2 utilizes the Takagi-Sugeno (T-S) fuzzy model-based Lorenz systems to realize adaptive synchronization via the new adaptive scheme. The simulation results demonstrate the effectiveness and feasibility of our new adaptive strategy.