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

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Zhang, L, Shi, Peng ORCID: 0000-0001-8218-586X and Basin, Michael V ORCID: 0000-0002-7274-4303 (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

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.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/4086
DOI	10.1049/iet-cta:20070327
Official URL	http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arn...
Subjects	Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords	ResPubID18920, closed loop systems, control system synthesis, delays, discrete time systems, linear matrix inequalities, linear systems, robust control, time-varying systems, uncertain systems
Citations in Scopus	91 - View on Scopus
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