Robust stability and stabilisation of uncertain switched linear discrete time-delay systems
Robust stability and stabilisation of uncertain switched linear discrete time-delay systems
- Author(s): L. Zhang ; P. Shi ; M. Basin
- DOI: 10.1049/iet-cta:20070327
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- Author(s): L. Zhang 1 ; P. Shi 2 ; M. Basin 3
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View affiliations
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Affiliations:
1: Ecole Polytechnique de Montreal, Montreal, Canada
2: Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK
3: Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Nuevo Leon, Mexico
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Affiliations:
1: Ecole Polytechnique de Montreal, Montreal, Canada
- Source:
Volume 2, Issue 7,
July 2008,
p.
606 – 614
DOI: 10.1049/iet-cta:20070327 , Print ISSN 1751-8644, Online ISSN 1751-8652
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.
Inspec keywords: delays; control system synthesis; time-varying systems; linear matrix inequalities; robust control; discrete time systems; linear systems; uncertain systems; closed loop systems
Other keywords:
Subjects: Stability in control theory; Discrete control systems; Time-varying control systems; Distributed parameter control systems; Algebra; Control system analysis and synthesis methods
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