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

Fatma HAMZAOUI*, Malek KHADHRAOUI
National Engineering School of Monastir (ENIM), University of Monastir,
Avenue Ibn El Jazzar, Monastir, 5019, Tunisia
hamzaoui.ff@gmail.com (*Corresponding author), malek.enim@gmail.com

Abstract: 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.

Keywords: Functional filter, Unknown inputs, Singular systems, Discrete-time case, Variable-time delay.

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CITE THIS PAPER AS:
Fatma HAMZAOUI, Malek KHADHRAOUI, A Contribution to the Filter Design for a Class of Linear Singular Delayed Systems: The Discrete Time Case, Studies in Informatics and Control, ISSN 1220-1766, vol. 31(1), pp. 89-98, 2022. https://doi.org/10.24846/v31i1y202209