Abstract
This paper deals with the problem of delay-dependent robust \(H_{\infty }\) filtering for uncertain two-dimensional (2-D) continuous systems described by Roesser state space model with time-varying delays, with the uncertain parameters assumed to be of polytopic type. A sufficient condition for \(H_{\infty }\) noise attenuation is derived in terms of linear matrix inequalities, so a robust \(H_{\infty }\) filter can be obtained by solving a convex optimization problem. Finally, some examples are provided to illustrate the effectiveness of the proposed methodology.
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This work is funded by AECI AP/034911/11 and MiCInn DPI2010-21589-c05.
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El-Kasri, C., Hmamed, A., Tissir, E.H. et al. Robust \(H_{\infty }\) filtering for uncertain two-dimensional continuous systems with time-varying delays. Multidim Syst Sign Process 24, 685–706 (2013). https://doi.org/10.1007/s11045-013-0242-7
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DOI: https://doi.org/10.1007/s11045-013-0242-7