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High-gain observer for a class of time-delay nonlinear systems

Mondher Farza 1 Amine Sboui 1 Estelle Cherrier 1 Mohammed M'Saad 1
1 Equipe Automatique - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Abstract : This article proposes a high-gain observer design for a class of nonlinear systems with multiple known time-varying delays intervening in the states and the inputs. In the free delay case, the class of systems under consideration coincides with a canonical form characterising a class of multi-output nonlinear systems, which are observable for any input. The underlying high-gain design has been mainly motivated by its inherent simplicity from both design and implementation points of view. Indeed, the observer gain is determined from an explicit resolution of a time-invariant Lyapunov algebraic equation up to the specification of a single design parameter. An academic observation problem is addressed to illustrate the effectiveness of the proposed observer.
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Submitted on : Tuesday, September 2, 2014 - 9:57:30 AM
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Mondher Farza, Amine Sboui, Estelle Cherrier, Mohammed M'Saad. High-gain observer for a class of time-delay nonlinear systems. International Journal of Control, Taylor & Francis, 2009, pp.273-280. ⟨10.1080/00207170903141069⟩. ⟨hal-01059849⟩



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