On interval observer design for continuous-time LPV switched systems

Zammali, Chaima and Van Gorp, Jeremy and Raïssi, Tarek: On interval observer design for continuous-time LPV switched systems. In: Acta cybernetica, (24) 3. pp. 539-555. (2020)

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Abstract

State estimation for switched systems with time-varying parameters has received a great attention during the past decades. In this paper, a new approach to design an interval observer for this class of systems is proposed. The scheduling vector is described by a convex combination so that the varying parameters belong into polytopes. The considered system is also subject to measurement noise and state disturbances which are supposed to be unknown but bounded. The proposed method guarantees both cooperativity and Input to State Stability (ISS) of the upper and lower observation errors. Sufficient conditions are given in terms of Linear Matrix Inequalities (LMIs) using a common quadratic Lyapunov function. Finally, a numerical example is provided to show the effectiveness of the designed observer.

Item Type: Article
Heading title: Interval methods in control and robotics
Journal or Publication Title: Acta cybernetica
Date: 2020
Volume: 24
Number: 3
ISSN: 0324-721X
Page Range: pp. 539-555
Publisher: University of Szeged, Institute of Informatics
Place of Publication: Szeged
Event Title: Summer Workshop on Interval Methods (11.) (2018) (Rostock)
Related URLs: http://acta.bibl.u-szeged.hu/69263/
DOI: https://doi.org/10.14232/actacyb.24.3.2020.14
Uncontrolled Keywords: Számítástechnika, Kibernetika, Vezérléstechnika, Robotika
Additional Information: Bibliogr.: p. 552-555. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2020. Jul. 30. 13:53
Last Modified: 2020. Jul. 30. 13:53
URI: http://acta.bibl.u-szeged.hu/id/eprint/69274

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