On Set-Membership Observer Design for a Class of Periodical Time-Varying Systems

Denis Efimov 1, 2 Tarek Raissi 3 Stanislav Chebotarev 4 Ali Zolghadri 5
1 NON-A - Non-Asymptotic estimation for online systems
INRIA Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille
2 LAGIS-SYNER
LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
3 CNAM - Paris
CEDRIC - Centre d'Etude et De Recherche en Informatique du Cnam
4 Department of Control Systems and Informatics,
Saint Petersburg State University of Information Technologies Mechanics and Optics,
Abstract : This work is devoted to interval observer design 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 has been shown that under some mild conditions the cooperativity of an LTV system can be ensured by a static linear transformation of coordinates. The case of a time-varying transformation for periodic systems is considered in this work. The efficiency of the proposed approach is demonstrated through computer simulations.
Document type :
Conference papers
51st IEEE Conference on Decision and Control 2012, Dec 2012, Hawaii, United States. 2012


https://hal.inria.fr/hal-00745505
Contributor : Denis Efimov <>
Submitted on : Friday, October 26, 2012 - 10:55:47 AM
Last modification on : Wednesday, July 29, 2015 - 1:25:19 AM

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Denis Efimov, Tarek Raissi, Stanislav Chebotarev, Ali Zolghadri. On Set-Membership Observer Design for a Class of Periodical Time-Varying Systems. 51st IEEE Conference on Decision and Control 2012, Dec 2012, Hawaii, United States. 2012. <hal-00745505>

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