Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems. (January 2016)

• Record Type: Journal Article
• Authors: Rotondo, Damiano; Nejjari, Fatiha; Puig, Vicenç
• Is Part Of: Automatica. Volume 63(2016)
• Page Start: 16
• Page End: 20
• Publication Date: 2016-01
• Subjects: Discrete-time systems -- Finite time control -- Linear matrix inequalities -- Parameter-dependent Lyapunov functions -- Robust control -- Uncertain linear systems; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2015.10.003
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: 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.