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Communication Dans Un Congrès Année : 2011

An observer for a piecewise affine genetic network model with Boolean observations

Résumé

In this paper we consider the state reconstruction problem with Boolean measurements for a genetic network governed by a piecewise affine (PWA) model. A Luenberger-like observer is proposed and we undertake an investigation of its convergence rate. The approach of Filippov is used to define the solution on the surface of discontinuity. In particular sliding modes may occur in some cases and this leads to finite-time convergence for the observer. A transition graph is given for the coupled observer-nominal system in general case. To minimize the convergence time, different convergence scenarios are discussed for optimizing the choice of initial condition of the observer.

Domaines

Automatique
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Dates et versions

hal-00647287 , version 1 (01-12-2011)

Identifiants

Citer

Xiao-Dong Li, Jean-Luc Gouzé, Madalena Chaves. An observer for a piecewise affine genetic network model with Boolean observations. IEEE Conference of Decision and Control, Dec 2011, Orlando, United States. pp.4389 - 4394, ⟨10.1109/CDC.2011.6160629⟩. ⟨hal-00647287⟩
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