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Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

Liu, Xin-Ge, Martin, Ralph Robert, Wu, Min and Tang, Mei-Lan 2006. Delay-dependent robust stabilisation of discrete-time systems with time-varying delay. IEE proceedings. Control theory and applications. 153 (6) , pp. 689-702. 10.1049/ip-cta:20050223

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Abstract

The stability of discrete systems with time-varying delay is considered. New delay-dependent stability criteria are devised, which are dependent on the minimum and maximum delay bounds. An initial analysis leads to a criterion depending on an inequality involving certain matrices that can be freely chosen. By carefully choosing them to reflect the appropriate relationship between states at differing times, a stricter criterion is thereby obtained. Furthermore, new results for delay-dependent robust stabilisation of uncertain systems with time-varying delay are provided on the basis of a linear matrix inequality (LMI) framework. As the conditions obtained for the existence of admissible controllers are not expressed using strict LMI conditions, a cone complementary linearisation procedure is used to find suitable controllers. Finally, the results obtained, including the stability analysis, static output-feedback stabilisation and dynamic output feedback stabilisation are further extended to discrete time-delay systems having uncertain but norm-bounded parameters. Numerical examples demonstrate the validity of the approach proposed

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: delays ; discrete time systems ; feedback ; linear matrix inequalities ; robust control ; stability criteria ; time-varying systems ; uncertain systems
Additional Information: © The Institution of Engineering and Technology 2006
ISSN: 1350-2379
Last Modified: 04 Jun 2017 01:53
URI: http://orca-mwe.cf.ac.uk/id/eprint/5204

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