A Contribution to the Filter Design for a Class of Linear Singular Delayed Systems: The Discrete Time Case

This paper proposes a filter scheme for linear singular systems. The considered models are affected by an unknown input vector and a bounded disturbance vector which are present in both dynamic and output equations. To that, a variable-time delay also affects the state vector and the known input vec...

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Bibliographic Details
Published in:Studies in Informatics and Control 2022-03, Vol.31 (1), p.89-98
Main Authors: HAMZAOUI, Fatma, KHADHRAOUI, Malek
Format: Article
Language:English
Subjects:
Systems stability
Online Access:Get full text
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Summary:This paper proposes a filter scheme for linear singular systems. The considered models are affected by an unknown input vector and a bounded disturbance vector which are present in both dynamic and output equations. To that, a variable-time delay also affects the state vector and the known input vector. This paper sets forth an unbiased H∞ filter dynamics based on the Lyapunov-Krasovskii method and using a Linear Matrix Inequality (LMI) approach. The designed estimator manages to reconstruct both the functional state vector and the functional unknown input vector despite the effect of the bounded disturbance. A numerical example is provided with the purpose of highlighting the effectiveness of the proposed approach.
ISSN:1220-1766
1841-429X
DOI:10.24846/v31i1y202209