Robust H∞ Filters for Uncertain Systems with Finite Frequency Specifications

Abstract : This paper deals with H∞ filtering problem of linear discrete-time uncertain systems with finite frequency input signals. The uncertain parameters are supposed to reside in a polytope. By applying the generalized Kalman–Yakubovich–Popov lemma, polynomially parameter-dependentLyapunov function and some key matrices to eliminate the product terms between the filter parameters and the Lyapunov matrices, an improved condition isobtained for analyzing the H∞ performance of the filtering error system. Then sufficient condition in terms of linear matrix inequality is established for designing filters with a guaranteed H∞ filtering performance level. Finally, a numerical examples are used to demonstrate the effectiveness of the proposed method.
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El Mostafa El Adel, Abderrahim El-Amrani, Bensalem Boukili, Abdelaziz Hmamed. Robust H∞ Filters for Uncertain Systems with Finite Frequency Specifications. Journal of Control, Automation and Electrical Systems, Springer, 2017, 28 (6), pp.693-706. ⟨10.1007/s40313-017-0336-9⟩. ⟨hal-02080079⟩

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