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 |
| Item ID: | 199835 |
| Date Deposited: | 27 Oct 2011 08:27 |
| Last Modified: | 02 Nov 2011 16:42 |
| Contributors: | Lam, James (Author) Shu, Zhan (Author) Xu, Shengyuan (Author) Boukas, E.K. (Author) |
| Date: | March 2007 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/199835 |
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