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Guaranteed state estimation for nonlinear continuous-time systems based on qLPV transformations

Abstract : This paper deals with guaranteed state estimation for a large class of nonlinear continuous-time systems in a bounded error context. The proposed observer is based on a guaranteed Linear Parameter-Varying (LPV) transformation of the original nonlinear model. The linearisation is justified since it is difficult to develop generic methods for computing a stable observer for a nonlinear system. The Luenberger structure is used and the observer gain is designed so that to satisfy the cooperativity property and the positivity of the observation error. This approach makes the observer less pessimistic than interval Taylor observers. The methodology is illustrated through simulations on a numerical example.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-00368251
Contributor : Tarek Raïssi <>
Submitted on : Sunday, March 15, 2009 - 11:21:24 AM
Last modification on : Saturday, January 18, 2020 - 10:40:15 AM

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  • HAL Id : hal-00368251, version 1

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Gaétan Videau, Tarek Raissi, Ali Zolghadri. Guaranteed state estimation for nonlinear continuous-time systems based on qLPV transformations. European Control Conference, Aug 2009, Budapest, Hungary. ⟨hal-00368251⟩

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