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A Simplified Output Regulator for a Class of Takagi-Sugeno Fuzzy Models

Author

Listed:
  • Tonatiuh Hernández-Cortés
  • Jesús A. Meda Campaña
  • Luis A. Páramo Carranza
  • Julio C. Gómez Mancilla

Abstract

This paper is devoted to solve the regulation problem on the basis of local regulators, which are combined using “new” membership functions. As a result, the exact tracking of references is achieved. The design of linear local regulators is suggested in this paper, but now adequate membership functions are computed in order to ensure the proper combination of the local regulators in the interpolation regions. These membership functions, which are given as mathematical expressions, solve the fuzzy regulation problem in a relative simple way. The form of the new membership functions is systematically derived for a class of Takagi-Sugeno (T-S) fuzzy systems. Some numerical examples are used to illustrate the viability of the proposed approach.

Suggested Citation

  • Tonatiuh Hernández-Cortés & Jesús A. Meda Campaña & Luis A. Páramo Carranza & Julio C. Gómez Mancilla, 2015. "A Simplified Output Regulator for a Class of Takagi-Sugeno Fuzzy Models," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-18, October.
    • Handle: RePEc:hin:jnlmpe:148173
    DOI: 10.1155/2015/148173
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