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ABSTRACT: The aim of this work is to generalize some existing results dealing with the unbiased H <sub>∞</sub> filtering for dynamical systems. In particular, we consider reduced-order filtering for a large class of uncertain linear neutral systems subject to unknown inputs and external disturbances. Our purpose consists in ensuring both: the total decoupling with respect to the unknown inputs and minimization of the external disturbances effects using the H <sub>∞</sub> criterion. Both cases of known and unknown delay are considered. Sufficient conditions for the existence and the stability of the proposed filters are derived. Finally, we succeed in transforming the filter design problem into the feasibility of some reduced-order linear matrix inequalities. Theoretical and numerical comparisons with others important works are provided to show the effectiveness of the obtained results.
IEEE Transactions on Automatic Control 02/2010; · 2.11 Impact Factor
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ABSTRACT: This paper deals, for the first time, with the design problem of linear robust H ∞ filter-based tracking controller for a class of linear time delay systems subjected to parametric uncertainties. Sweet method is proposed to guarantee the filtering process of the system output at the same time as its robust H ∞ tracking and output model following. Finally, the viability and the efficiency of the proposed method are clearly proved by numerical simulations.
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on; 01/2006
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ABSTRACT: In this note we investigate the filtering problem for linear time-delay systems. Unlike most of the existing results, we consider systems with an unknown and constant delay. From the Razumikhin stability theorem and some judicious mathematical manipulations, a reduced order H<sub>∞</sub> filter able to ensure the asymptotic stability and the pro-specified H<sub>∞</sub> performances of the filtering process is designed. Also the maximal allowable delay preserving the asymptotic stability is given. A numerical example is provided to show the effectiveness of the proposed technique.
American Control Conference, 2005. Proceedings of the 2005; 07/2005