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

  • Kamel Mohamed
  • Mohammed ChadliEmail author
  • Mohamed Chaabane
Article

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.

Keywords

Unknown inputs observer uncertain nonlinear systems Lipschitz condition bounded uncertainties linear matrix inequality (LMI) 

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Copyright information

© Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Kamel Mohamed
    • 1
  • Mohammed Chadli
    • 2
    Email author
  • Mohamed Chaabane
    • 1
  1. 1.Industrial Process Control UnitNational Engineering School of SfaxSfaxTunisia
  2. 2.MIS (EA 4290)University of Picardie Jules VerneAmiensFrance

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