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

Publication

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

Journal Article (2016)

Journal

Automatica

Pages

16-20

Volume

Number

Doc link

http://dx.doi.org/10.1016/j.automatica.2015.10.003

File

Download the digital copy of the doc pdf document

Authors

Rotondo, Damiano
Nejjari Akhi-Elarab, Fatiha
Puig Cayuela, Vicenç

Projects associated

ECOCIS: EConomic Operation of Critical Infrastructure Systems

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.

Scientific reference

D. Rotondo, F. Nejjari and V. Puig. Dilated LMI characterization for the robust finite time control of discrete-time uncertain linear systems. Automatica, 63(16): 16-20, 2016.