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Robust ?? control of descriptor discrete-time Markovian jump systems

Record type: Article

This paper considers the stochastic stability and the robust control of descriptor discrete-time systems with Markovian jumping parameters. In terms of linear matrix inequalities, a necessary and sufficient condition is proposed, which ensures a discrete-time descriptor Markovian jump system to be regular, causal and stochastically stable. A robust admissibility condition and a robust bounded real lemma are also developed. Based on these, a sufficient condition on the existence of a state-feedback controller which guarantees the robust admissibility and the performance is also given by employing the linear matrix inequality technique. A robustly stabilizing state feedback controller can be constructed through the numerical solutions of linear matrix inequalities. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.

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Citation

Lam, James, Shu, Zhan, Xu, Shengyuan and Boukas, E.K. (2007) Robust ?? control of descriptor discrete-time Markovian jump systems International Journal of Control, 80, (3), pp. 374-385. (doi:10.1080/00207170600999322).

More information

Published date: March 2007
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199835
URI: http://eprints.soton.ac.uk/id/eprint/199835
ISSN: 0020-3270
PURE UUID: 7a8b41dc-ae5a-420f-920c-d43fb24096a5
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 27 Oct 2011 08:27
Last modified: 18 Jul 2017 11:15

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Contributors

Author: James Lam
Author: Zhan Shu ORCID iD
Author: Shengyuan Xu
Author: E.K. Boukas

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