Title: Robust finite frequency H filtering for uncertain continuous-time systems

Authors: Kaoutar Lahmadi; Abderrahim El-Amrani; Bensalem Boukili; Ismail Boumhidi

Addresses: LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco ' LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco ' LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco ' LESSI, Department of Physics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Fes-Atlas, Morocco

Abstract: In this paper, the H filtering problem for a class of continuous-time polytopic uncertain systems is studied. Different from the traditional methods dealing with polytopic uncertainties in the full frequency domain, not only its values but also the finite frequency (FF) cases are considered. Our goal is to design the filters guaranteeing an H performance level in the finite frequency (FF) domains. By using the generalised Kalman-Yakubovich-Popov (gKYP) lemma, polynomially parameter-dependent Lyapunov function and some key matrices, we establish new sufficient conditions to characterise this problem in terms of linear matrix inequalities (LMIs). Finally, a two examples are used to show the superiority and effectiveness of the proposed methods.

Keywords: finite frequency; H_? performance; continuous-time systems; linear matrix inequalities; LMIs.

DOI: 10.1504/IJSCC.2019.102745

International Journal of Systems, Control and Communications, 2019 Vol.10 No.4, pp.356 - 374

Received: 12 Mar 2018
Accepted: 16 Jan 2019
Published online: 02 Oct 2019 *

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