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

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  • Intelligent Control and Applications
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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.

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Authors and Affiliations

  1. QUERE Laboratory, Department of Electrical Engineering, Ferhat Abbas University, Sétif1, Algeria

    Boukhalfa Abdelouaheb & Khaber Farid

  2. CReSTIC Laboratory, University of Reims Champagne Ardenne, Pairs, France

    Essounbouli Najib

Authors
  1. Boukhalfa Abdelouaheb
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  2. Khaber Farid
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  3. Essounbouli Najib
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Corresponding author

Correspondence to Boukhalfa Abdelouaheb.

Additional information

Recommended by Associate Editor Hongyi Li under the direction of Editor Euntai Kim. The authors would like to thank the Editor and the anonymous reviewers for their most valuable comments and suggestions. Without these comments, the paper would not be improved to its present quality.

Boukhalfa Abdelouaheb received both his Engineering and Master degrees in Automatic from Sétif University, Algeria, in 2002 and 2006, respectively. Currently, he is working towards his Ph.D. degree at university of Sétif1, Algeria. His research interests include nonlinear control, adaptive control, synergetic control, sliding mode control, fuzzy logic control, and discrete-time nonlinear systems identification and control.

Khaber Farid received the B.Sc in Electronics (1989), the DEA (1990), the M.Sc (1992) in industrial control and the Ph.D. (2006) in automatic control from the University of Sétif, Algeria, where he is currently a full Professor. Prof. Khaber is the Director of the QUERE laboratory in Sétif1 University, Algeria, since 2010. His research interests include multivariable adaptive control, LMI control, fuzzy control with applications to renewable energy systems and mobile robots.

Najib Essounbouli received the Maitrise degree from the University of Sciences and Technology of Marrakech, Marrakech, Morocco, and the D.E.A. and Ph.D. degrees in 2000 and 2004, respectively, and the Habilitation degree from University of Reims Champagne-Ardenne, Troyes, France, all in electrical engineering. From September 2005 to 2010, he was an Assistant Professor with the Institute of Technology of Troyes, University of Reims Champagne-Ardenne, where from September 2010, he has been a Professor. His current research interests include the areas of fuzzy logic control, robust adaptive control, renewable energy, and control drives.

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Abdelouaheb, B., Farid, K. & Najib, E. Synergetic Adaptive Fuzzy Control for a Class of Nonlinear Discrete-time Systems. Int. J. Control Autom. Syst. 16, 1981–1988 (2018). https://doi.org/10.1007/s12555-017-0438-y

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  • DOI: https://doi.org/10.1007/s12555-017-0438-y

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