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Unknown inputs observer for a class of nonlinear uncertain systems: An LMI approach

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Abstract

This paper deals with the simultaneous estimation of states and unknown inputs for a class of Lipschitz nonlinear systems using only the measured outputs. The system is assumed to have bounded uncertainties that appear on both the state and output matrices. The observer design problem is formulated as a set of linear constraints which can be easily solved using linear matrix inequalities (LMI) technique. An application based on manipulator arm actuated by a direct current (DC) motor is presented to evaluate the performance of the proposed observer. The observer is applied to estimate both state and faults.

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Author information

Authors and Affiliations

  1. Industrial Process Control Unit, National Engineering School of Sfax, Sfax, Tunisia

    Kamel Mohamed & Mohamed Chaabane

  2. MIS (EA 4290), University of Picardie Jules Verne, 7 rue Moulin Neuf, 80000, Amiens, France

    Mohammed Chadli

Authors
  1. Kamel Mohamed
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  2. Mohammed Chadli
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  3. Mohamed Chaabane
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Correspondence to Mohammed Chadli.

Additional information

Kamel Mohamed received his engineer’s degree from the University of Tunis in 1992 and the Ph.D. degree in automatic control and computer engineering from the University of Sfax, Tunisia in 2011.

His research interests include observer for nonlinear systems, fault detection and isolation (FDI), and application to industrial process.

Mohammed Chadli received the master degree (DEA) from National Institute of Applied Sciences, France in 1999 and the Ph.D. degree from National Polytechnic Institute of Lorraine of Nancy-France in 2002. From 1999 to 2004, he was an associate researcher in National Polytechnic Institute of Lorraine. Since 2004, he has been associate professor at the University of Picardie Jules Verne and a researcher in the ‘Modélisation, Information et Systèmes’ Laboratory (MIS) in Amiens, France.

His research interests include theoretical side, analysis and control of singular (switched) systems, analysis and control of fuzzy/multiple model approach, robust control, fault detection and isolation (FDI), fault tolerant control (FTC), analysis and control via LMI optimization techniques and Lyapunov methods. On the application side he is mainly interested in automotive control.

Mohamed Chaabane is working as a professor in automatic control at National School of Engineers of Sfax (ENIS), Tunisia. He received his doctorate degree in electrical engineering from the University of Nancy, France in 1991. Since 1997, he has held a research position at Automatic Control Unit, ENIS.

His research interests include robust and optimal control, delay systems, descriptor systems.

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Mohamed, K., Chadli, M. & Chaabane, M. Unknown inputs observer for a class of nonlinear uncertain systems: An LMI approach. Int. J. Autom. Comput. 9, 331–336 (2012). https://doi.org/10.1007/s11633-012-0652-2

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  • DOI: https://doi.org/10.1007/s11633-012-0652-2

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