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Synchronization of Discrete-Time Chaotic Fuzzy Systems by means of Fuzzy Output Regulation Using Genetic Algorithm

Author

Listed:
  • Tonatiuh Hernández Cortés
  • A. Verónica Curtidor López
  • Jorge Rodríguez Valdez
  • Jesús A. Meda Campaña
  • Ricardo Tapia Herrera
  • José de Jesús Rubio

Abstract

The synchronization of chaotic systems, described by discrete-time T-S fuzzy models, is treated by means of fuzzy output regulation theory. The conditions for designing a discrete-time output regulator are given in this paper. Besides, when the system does not fulfill the conditions for exact tracking, a new regulator based on genetic algorithms is considered. The genetic algorithms are used to approximate the adequate membership functions, which allow the adequate combination of local regulators. As a result, the tracking error is significantly reduced. Both the Complete Synchronization and the Generalized Synchronization problem are studied. Some numerical examples are used to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Tonatiuh Hernández Cortés & A. Verónica Curtidor López & Jorge Rodríguez Valdez & Jesús A. Meda Campaña & Ricardo Tapia Herrera & José de Jesús Rubio, 2015. "Synchronization of Discrete-Time Chaotic Fuzzy Systems by means of Fuzzy Output Regulation Using Genetic Algorithm," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-18, December.
    • Handle: RePEc:hin:jnlmpe:198371
    DOI: 10.1155/2015/198371
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