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A sliding mode observer for uncertain nonlinear systems based on multiple models approach

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Abstract

This paper presents a method of state estimation for uncertain nonlinear systems described by multiple models approach. The uncertainties, supposed as norm bounded type, are caused by some parameters’ variations of the nonlinear system. Linear matrix inequalities (LMIs) have been established in order to ensure the stability conditions of the multiple observer which lead to determine the estimation gains. A sliding mode gain has been added in order to compensate the uncertainties. Numerical simulations through a state space model of a real process have been realized to show the robustness of the synthesized observer.

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Correspondence to Kaïs Hfaïedh.

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Recommended by Associate Editor Yuan-Qing Xia

Kaïs Hfaïedh received both the Engineering Diploma and the M. Sc. degree in automatic control from the National School of Engineers of Sfax, Tunisia in 2009 and 2011, respectively. He is currently a technologist in the Department of Electrical Engineering of Higher Institute of Technological Studies.

His research interests include modeling, sliding mode control and observers for nonlinear systems.

ORCID iD: 0000-0002-3737-0254

Karim Dahech received the electrical engineering diploma from the National School of Engineers of Gabes, Tunisia in 2002, the M. Sc. degree in automatic and industrial data processing, and the Ph. D. degree in electrical engineering from the National School of Engineers of Sfax, Tunisia in 2004 and 2009, respectively. He is currently an assistant professor of electrical engineering in the Higher Institute of Industrial Management of Sfax.

His research interests include modeling, estimation and control of nonlinear systems.

Tarak Damak received the Electrical Engineering Diploma from the National School of Engineers of Sfax, Tunisia in 1989, the M. Sc. degree in automatic control from the National Institute of Applied Seciences of Toulouse-France in 1990, the Ph.D. degree from the University of Paul Sabatier of Toulouse, France in 1994. He is currently a professor in the Department of Mechanical Engineering of the National School of Engineers of Sfax-Tunisia.

His research interests include distributed parameter systems, sliding mode control and observers and adaptive nonlinear control.

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Hfaïedh, K., Dahech, K. & Damak, T. A sliding mode observer for uncertain nonlinear systems based on multiple models approach. Int. J. Autom. Comput. 14, 202–212 (2017). https://doi.org/10.1007/s11633-016-0970-x

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  • DOI: https://doi.org/10.1007/s11633-016-0970-x

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