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Robust stability and stabilisation of uncertain switched linear discrete time-delay systems

Zhang, L and Shi, Peng and Basin, Michael (2008) Robust stability and stabilisation of uncertain switched linear discrete time-delay systems. IET Control Theory and Applications, 2 (7). pp. 606-614. ISSN 1751-8644

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Abstract

The robust stability and stabilisation problems for switched linear discrete-time systems are studied. 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 approach, together with a cone complementary linearisation 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: Article
Uncontrolled Keywords: ResPubID18920, closed loop systems, control system synthesis, delays, discrete time systems, linear matrix inequalities, linear systems, robust control, time-varying systems, uncertain systems
Subjects: 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: 26 Apr 2012 23:16
Last Modified: 27 Jan 2015 22:03
URI: http://vuir.vu.edu.au/id/eprint/4086
DOI: 10.1049/iet-cta:20070327
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Citations in Scopus: 28 - View on Scopus

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