International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Thursday Morning

Session TM1: Robust Control I


Chair: Carlos E. de Souza - Brazil
Co-chair: Kiyotsugu Takaba - Japan
Room: Assunção
2007-10-18
From 10:00 to 12:00
Convergent LMI Relaxations for Robust Analysis of Uncertain Discrete-Time Markov Jump Linear Systems
R. C. L. F. Oliveira; A. N. Vargas; J. B. R. do Val; P. L. D. Peres
Contact: Pedro L. D. Peres - Brazil
10:40-11:00
Abstract:
The robust stability analysis of discrete-time Markov jump linear systems whose probability matrix is not precisely known, but belongs to a polytopic domain, is investigated in this paper. The robust stability tests are given in terms of a sequence of sufficient LMI conditions based on homogeneous polynomial parameter-dependent Lyapunov matrices of arbitrary degree g on the uncertain parameters. As the degree g increases, the necessary conditions are attained. Numerical examples illustrate the efficiency of the proposed approach when compared with other methods from the literature. Copyright © 2007 IFAC.