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https://hdl.handle.net/2440/86182
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Type: | Journal article |
Title: | Robust stability and stabilisation of uncertain switched linear discrete time-delay systems |
Author: | Zhang, L. Shi, P. Basin, M. |
Citation: | IET Control Theory and Applications, 2008; 2(7):606-614 |
Publisher: | Institution of Engineering and Technology |
Issue Date: | 2008 |
ISSN: | 1751-8644 1751-8652 |
Statement of Responsibility: | L. Zhang, P. Shi, M. Basin |
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. |
Rights: | © The Institution of Engineering and Technology 2008 |
DOI: | 10.1049/iet-cta:20070327 |
Published version: | http://dx.doi.org/10.1049/iet-cta:20070327 |
Appears in Collections: | Aurora harvest 7 Electrical and Electronic Engineering publications |
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