WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 20, 2025
A Contribution on H∞ Filter Design for Discrete-Time Linear Singular Systems with Parametric Uncertainties and Constant Time Delay
Authors: , , , ,
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Abstract: This paper concerns an improved H∞ filter design for discrete-time linear singular uncertain systems with constant time delay and unknown input. The proposed approach yields a robust observer that reconstructs a state functional despite the presence of uncertainties that are functions of a bounded noisy signal. The uncertain quantities are considered as disturbances. H∞ filter is designed to attenuate the effect of parametric uncertainties on the estimation error and reconstructs a state functional independently of the actuator fault described by an unknown input vector. The proposed filter is based on the Krasovskii stability theory to ensure converging unbiased dynamics. The bias-free conditions are formulated into a convex optimization problem, leading to an optimal filter gain design. The results, validated on a benchmark numerical example and compared with existing methods, confirm the effectiveness of the proposed approach.
Keywords:
Discrete transforms, Delay systems, H∞ criterion, LMI, Singular systems, Uncertain systems
Pages: 570-579
DOI: 10.37394/23203.2025.20.56