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Multiple model reduction approach using gap metric and stability margin for control nonlinear systems

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  • Control Theory and Applications
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Abstract

This paper deals with the control of nonlinear systems using multimodel approach. The main idea of this work consists on the association of the gap metric and the stability margin tools to reduce the number of models constituting the multimodel bank. In fact, the self-organisation map (SOM) algorithm is used, firstly, to develop a preliminary multimodel bank. Then, the gap metric and the stability margin are computed to determine the redundancy of the initial multimodel bank. So, the multimodel controller is elaborated based on the reduced model bank. Simulations confirm the method for selecting the appropriate number of local models which should be used in the controller design.

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Authors and Affiliations

  1. Institute of Applied Science and Technology of Gabes, Gabes, 6029, Tunisia

    Ali Zribi

  2. Mohamed Djemel are with the National School of Engineers of Sfax, Sfax, 3038, Tunisia

    Mohamed Chtourou & Mohamed Djemel

Authors
  1. Ali Zribi
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  2. Mohamed Chtourou
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  3. Mohamed Djemel
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Correspondence to Ali Zribi.

Additional information

Recommended by Associate Editor Soohee Han under the direction of Editor Euntai Kim.

Ali Zribi received his Engineering Diploma in Electrical Engineering in 2005, Master degree in Automatic Control in 2006, and Doctorate degree in 2011 from the National School of Engineers of Sfax, Tunisia (ENIS). He is currently an assistant professor at the higher Institute of Applied Science and Technology of Gabes. His areas of interest include identification, neural networks and multimodel control.

Mohamed Chtourou received his Engineering Diploma in Electrical Engineering from the Ecole Nationale dIngenieurs de Sfax-Tunisia in 1989, Diplôme dEtudes Aprofondies in Automatic Control from the Institut National des Sciences Appliquees de Toulouse-France in 1990, and Doctorat in Process Engineering from the Institut National Polytechnique de Toulouse-France in 1993 and the Habilitation Universitaire in Automatic Control from the Ecole Nationale dIngenieurs de Sfax-Tunisia in 2002. He is currently a Professor in the Department of Electrical Engineering of National School of Engineers of Sfax-University of Sfax-Tunisia. His current research interests include learning algorithms, artificial neural networks and their engineering applications, fuzzy systems, and intelligent control.

Mohamed Djemel received his BS and Diplome dEtudes Approfondies and Doctorat thesis in Electrical Engineering from the Ecole Superieure des Sciences Techniques de Tunis (ESSTT), in 1987 and 1989, and 1996, respectively, and Habilitation Universitaire from the Ecole Nationale dIngenieurs de Sfax (ENIS) in 2006. He jointed the Tunisian University since 1990, where he held different positions involved in research and education. Currently, he is a Professor of Automatic Control at the Electrical Department of the Ecole Nationale dIngenieurs de Sfax. His main research interests include the order reduction, the stability, the control and the advanced control of the complex systems.

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Zribi, A., Chtourou, M. & Djemel, M. Multiple model reduction approach using gap metric and stability margin for control nonlinear systems. Int. J. Control Autom. Syst. 15, 267–273 (2017). https://doi.org/10.1007/s12555-015-0131-y

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  • DOI: https://doi.org/10.1007/s12555-015-0131-y

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