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

Author

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  • A. Hmamed
  • M. Alfidi
  • A. Benzaouia
  • F. Tadeo

Abstract

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.

Suggested Citation

  • A. Hmamed & M. Alfidi & A. Benzaouia & F. Tadeo, 2008. "LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-11, March.
    • Handle: RePEc:hin:jnlmpe:356124
    DOI: 10.1155/2008/356124
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    Cited by:

    1. Selma Ben Attia & Sultan Alzahrani & Saad Alhuwaimel & Salah Salhi & Houssem Eddine Ouerfelli, 2024. "Polynomial Iterative Learning Control (ILC) Tracking Control Design for Uncertain Repetitive Continuous-Time Linear Systems Applied to an Active Suspension of a Car Seat," Mathematics, MDPI, vol. 12(16), pages 1-22, August.

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