H∞ filters design for fractional-order time-varying delay systems

In this work, the H ∞ filtering problem for fractional-order time-varying-delay systems is investigated. In the absence of disturbances, the observer state x̂(t) should asymptotically converge to the actual state x(t). On the other case, when the system is subject to disturbances, the H ∞ observer m...

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Bibliographic Details
Published in2015 European Control Conference (ECC) pp. 1243 - 1248
Main Authors Boukal, Y., Zasadzinski, M., Darouach, M., Radhy, N. E.
Format Conference Proceeding
LanguageEnglish
Published EUCA 01.07.2015
Subjects
Delay systems
Estimation error
Fractional-order Time Delay System
Functional Observer
H ∞ norm
H ∞ Observer design
Linear Matrix Inequality (LMI)
Lyapunov methods
Lyapunov stability
Observers
Symmetric matrices
Time-varying systems
Yttrium
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DOI10.1109/ECC.2015.7330710

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Summary:In this work, the H ∞ filtering problem for fractional-order time-varying-delay systems is investigated. In the absence of disturbances, the observer state x̂(t) should asymptotically converge to the actual state x(t). On the other case, when the system is subject to disturbances, the H ∞ observer must minimize the effect of disturbances on the estimation error. On the basis of the indirect Lyapunov approach [1], the stability condition is given in a Linear Matrix Inequality (LMI) formulation. Finally, a numerical example is presented to illustrate the performances of the proposed observer.
DOI:10.1109/ECC.2015.7330710