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Further results on \(H_{\infty }\) filtering for uncertain 2-D discrete systems

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Abstract

This paper deals with the problem of robust \(H_{\infty }\) filtering for uncertain 2-D discrete systems, the parameter uncertainties are assumed to reside in a polytopic region. Firstly, a new \(H_{\infty }\) performance analysis condition for the filtering error system is derived by exploiting a new structure of the Lyapunov function, and some analysis techniques. Secondly, based on the obtained condition, both parameter-independent and parameter-dependent \(H_{\infty }\) filters that ensure the robust asymptotic stability and a prescribed \(H_{\infty }\) performance level of the corresponding filtering error systems are designed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are presented to show that our results are less conservative than some existing ones.

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Acknowledgements

K. Badie acknowledges financial support for this research from the Centre National pour la Recherche Scientifique et Technique CNRST, Morocco (Pre-Doctoral Grants 9USMBA2017).

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  1. LISA, ENSAF, My Abdallah Avenue Km 5 Road Imouzzer, BP 72, Fez, Morocco

    Khalid Badie, Mohammed Alfidi & Zakaria Chalh

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  1. Khalid Badie
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  2. Mohammed Alfidi
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  3. Zakaria Chalh
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Correspondence to Khalid Badie.

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Badie, K., Alfidi, M. & Chalh, Z. Further results on \(H_{\infty }\) filtering for uncertain 2-D discrete systems. Multidim Syst Sign Process 31, 1469–1490 (2020). https://doi.org/10.1007/s11045-020-00715-2

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