The University of Southampton
University of Southampton Institutional Repository

Stabilization of Markovian systems via probability rate synthesis and output feedback

Feng, June, Lam, James and Shu, Zhan (2010) Stabilization of Markovian systems via probability rate synthesis and output feedback IEEE Transactions on Automatic Control, 55, (3), pp. 773-777. (doi:10.1109/TAC.2010.2040499).

Record type: Article

Abstract

This technical note is concerned with the stabilization problem of Markovian jump linear systems via designing switching probability rate matrices and static output-feedback gains. A novel necessary and sufficient condition is established to characterize the switching probability rate matrices that guarantee the mean square stability of Markovian jump linear systems. Based on this, a necessary and sufficient condition is provided for the existence of desired controller gains and probability rate matrices. Extensions to the polytopic uncertain case are also provided. All the conditions are formulated in terms of linear matrix inequalities with some equality constraints, which can be solved by two modified cone complementarity linearization algorithms. Examples are given to show the effectiveness of the proposed method

PDF FLS10_TAC.pdf - Version of Record
Restricted to Repository staff only
Download (198kB)

More information

Published date: March 2010
Organisations: Mechatronics

Identifiers

Local EPrints ID: 199715
URI: http://eprints.soton.ac.uk/id/eprint/199715
ISSN: 0018-9286
PURE UUID: 8441d110-5119-45ea-86a0-ca5597f113e4
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 19 Oct 2011 14:03
Last modified: 18 Jul 2017 11:16

Export record

Altmetrics

Contributors

Author: June Feng
Author: James Lam
Author: Zhan Shu ORCID iD

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×