Research Repository

Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties

Zhang, Lixian and Shi, Peng and Basin, Michael (2008) Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties. In: Proceedings of the 47th IEEE Conference on Decision and Control. IEEE, New York, N.Y., pp. 5336-5341.

Full text for this resource is not available from the Research Repository.

Abstract

This paper studies the robust stability and stabilization problems for switched linear discrete-time systems. The parameter uncertainties in the system under consideration are time-varying but norm-bounded, and the time delay is assumed to be time-varying and bounded, which covers the constant and mode-dependent constant delays as special cases. First, sufficient conditions are derived to guarantee the stability of the uncertain system. Then, a control law is designed so that the resulting closed-loop system is stable for all admissible uncertainties. A linear matrix inequality (LMIs) approach, together with a cone complementary linearization algorithm, is proposed to solve the above problems. A numerical example is given to show the potential applicability of the obtained theoretic results.

Item Type: Book Section
ISBN: 9781424431236, e9781424431243
Uncontrolled Keywords: ResPubID18937, discrete time systems, linear matrix inequalities, robust control, robust stability
Subjects: FOR Classification > 0906 Electrical and Electronic Engineering
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 18 Jan 2014 08:25
Last Modified: 18 Jan 2014 08:25
URI: http://vuir.vu.edu.au/id/eprint/6377
DOI: 10.1109/CDC.2008.4738909
ePrint Statistics: View download statistics for this item
Citations in Scopus: 1 - View on Scopus

Repository staff only

View Item View Item

Search Google Scholar