Robust ℋ∞ control of descriptor discrete-time Markovian jump systems


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

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Description/Abstract

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.

Item Type: Article
ISSNs: 0020-7179 (print)
1366-5820 (electronic)
Subjects: T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Engineering and the Environment > Engineering Sciences > Electro-Mechanical Research Group
ePrint ID: 199835
Date Deposited: 27 Oct 2011 08:27
Last Modified: 27 Mar 2014 19:46
URI: http://eprints.soton.ac.uk/id/eprint/199835

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