Interval State Observer for Nonlinear Time Varying Systems

Denis Efimov 1 Tarek Raissi 2 Stanislav Chebotarev 3 Ali Zolghadri 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 CNAM - Paris
CEDRIC - Centre d'étude et de recherche en informatique et communications
3 Department of Control Systems and Informatics,
Saint Petersburg State University of Information Technologies Mechanics and Optics,
Abstract : This paper is devoted to design of interval observers for Linear Time Varying (LTV) systems and a class of nonlinear time-varying systems in the output canonical form. An interval observer design is feasible if it is possible to calculate the observer gains making the estimation error dynamics cooperative and stable. It is shown that under some mild conditions the cooperativity of an LTV system can be ensured by a static linear transformation of coordinates. The efficiency of the proposed approach is demonstrated through numerical simulations.
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Journal articles
Automatica, Elsevier, 2013, 49 (1), pp.200--205. 〈10.1016/j.automatica.2012.07.004〉
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Denis Efimov, Tarek Raissi, Stanislav Chebotarev, Ali Zolghadri. Interval State Observer for Nonlinear Time Varying Systems. Automatica, Elsevier, 2013, 49 (1), pp.200--205. 〈10.1016/j.automatica.2012.07.004〉. 〈hal-00719911〉

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