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Full Order H∞ Filter Design for Delayed Singular Systems with Unknown Input and Bounded Disturbance: Time and Frequency Domain Approaches


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DOI: https://doi.org/10.15866/ireaco.v9i1.7843

Abstract


This paper investigates the problem of the full order H∞ unknown input filter designs in time and frequency domain. The considered systems are linear singular ones with delayed states, delayed input, unknown input and bounded disturbance. Firstly, an Unknown Input Observer (UIO) and a H∞ Unknown Input Filter (H∞ UIF) for such systems are proposed respectively in the time domain. This approach is based on Lyapunov-Krasovskii stability theory, where the gain implemented in the design is an optimal solution of linear matrix inequalities (LMIs). Secondly, a frequency-domain approach is derived from time-domain results by using the factorization approach. The proposed methods show their effectiveness on an illustrative example.
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Keywords


Delayed Descriptor Systems; Frequency Domain; H∞ Filter; LMIs; MFD; Time Domain s; Unknown Inputs

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References


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