Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems

• Damiano Rotondo ^[1] ; Fatiha Nejjari ^[1] ; Vicenç Puig ^[1]
  1. [1] Universitat Politècnica de Catalunya;Spain
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 63, 2016, págs. 16-20
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper provides new dilated linear matrix inequalities (LMIs) characterizations for the finite time boundedness (FTB) and the finite time stability (FTS) analysis of discrete-time uncertain linear systems. The dilated LMIs are later used to design a robust controller for the finite time control of discrete-time uncertain linear systems. The relevant feature of the proposed approach is the decoupling between the Lyapunov and the system matrices, that allows considering a parameter-dependent Lyapunov function. In this way, the conservativeness with respect to previous results is decreased. Numerical examples are used to illustrate the results.