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

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

Zhang, L, 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


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.

Dimensions Badge

Altmetric Badge

Item type Article
DOI 10.1049/iet-cta:20070327
Official URL
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
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login