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Robust H-infinity filtering for 2D continuous systems with finite frequency specifications

Abstract : This paper investigates the design problem of robust H-infinity filtering for uncertain two-dimensional (2D) continuous systems described by Roesser modelwith polytopic uncertainties and frequency domain specifications. Our aim is to design a new filter guaranteeing an H-infinity performance level in specific finite frequency (FF) domains. Using the well-known generalised Kalman Yakubovich Popov lemma and homogeneous polynomially parameter-dependent matrices of arbitrary degrees, sufficient conditions for the existence of H-infinity filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities. Illustrative examples are provided to show the usefulness and potential of the proposed results.
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https://hal-u-picardie.archives-ouvertes.fr/hal-03633229
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Soumis le : mercredi 6 avril 2022 - 18:57:10
Dernière modification le : mardi 30 août 2022 - 16:46:21

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Abderrahim El-Amrani, Bensalem Boukili, Abdellaziz Hmamed, Ahmed El Hajjaji, Ismail Boumhidi. Robust H-infinity filtering for 2D continuous systems with finite frequency specifications. International Journal of Systems Science, Taylor & Francis, 2018, 49 (1), pp.43-57. ⟨10.1080/00207721.2017.1391960⟩. ⟨hal-03633229⟩

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