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

• Published in: 2015 European Control Conference (ECC) pp. 1243 - 1248
• Main Authors: Boukal, Y., Zasadzinski, M., Darouach, M., Radhy, N. E.
• Format: Conference Proceeding
• Language: English
• 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
• DOI: 10.1109/ECC.2015.7330710

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.