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

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

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 line...

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Veröffentlicht in:Mathematical Problems in Engineering 2008-01, Vol.2008 (1), p.321-331
Hauptverfasser: Hmamed, A., Alfidi, M., Benzaouia, A., Tadeo, F.
Format: Artikel
Sprache:eng
Schlagworte:
Apexes
Discrete time systems
Gas absorption
Liapunov functions
Linear matrix inequalities
Mathematical models
Methods
Parameter robustness
Parameter uncertainty
Robustness
Stability
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2008/356124