LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems

By Abdelaziz Hmamed, M. Alfidi, Abdellah Benzaouia, Fernando Tadeo. 2008

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Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.

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