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Synergetic Adaptive Fuzzy Control for a Class of Nonlinear Discrete-time Systems

  • Boukhalfa Abdelouaheb
  • Khaber Farid
  • Essounbouli Najib
Regular Papers Intelligent Control and Applications
  • 36 Downloads

Abstract

In this paper, a discrete-time adaptive fuzzy synergetic controller for a class of uncertain nonlinear dynamic systems is developed. Nonlinear systems, with configurations and parameters that fluctuate with time require a fully nonlinear model and a discrete-time adaptive control scheme for a practical operating environment. Therefore, an adaptive controller, which considers the nonlinear nature of the plant and adapts its parameters to changes in the environment is necessary and is addressed in this work. Depending on the Lyapunov synthesis, fuzzy sets universal approximation properties are used in a discrete adaptive scheme to approximate the nonlinear system while synergetic control guarantees robustness and the use of a chatter free discrete-time control law which makes the controller easy to implement. A simulation results of a real world example are indicated, to show the effectiveness of the proposed method.

Keywords

Adaptive controller adaptive fuzzy synergetic controller discrete-time nonlinear system Lyapunov synthesis synergetic control theory 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Boukhalfa Abdelouaheb
    • 1
  • Khaber Farid
    • 1
  • Essounbouli Najib
    • 2
  1. 1.QUERE Laboratory, Department of Electrical EngineeringFerhat Abbas UniversitySétif1Algeria
  2. 2.CReSTIC LaboratoryUniversity of Reims Champagne ArdennePairsFrance

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