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The problem of robust H∞ filtering is investigated for the class of uncertain two-dimensional 2D discrete systems described by a Roesser state-space model. The main contribution is a systematic procedure for generating conditions for the existence of a 2D discrete filter such that, for all admissible uncertainties, the error system is asymptotically stable,… (More)

This paper deals with the problem of delay-dependent robust H1 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 H1 noise attenuation is derived in terms of linear matrix inequalities, so a… (More)

- Chakir El-Kasri, A. Hmamed, +14 authors Jason S. H. Tsai
- 2012

This paper proposes a methodology to design filters that extract information from noisy signals. From a mathematical point of view, a method is used based on homogeneous polynomially parameter-dependent (HPPD) matrices of arbitrary degree. The optimal filter is then obtained by solving a convex optimization problem using off-the-self software. To show the… (More)

- Chakir El-Kasri, Abdelaziz Hmamed, Fernando Tadeo
- CSSP
- 2014

This paper deals with designing H1 lters of reduced order for two dimensional (2-D) continuous systems described by Roesser models, with uncertain state space matrices. These lters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H1 noise attenuation, by using homogeneous polynomially parameter-dependent matrices of… (More)

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