Robust H2/H Control of Linear Markovian Jump Systems

DOI

10.2991/icieac-14.2014.20How to use a DOI?

Keywords

robust control;H2/H ;Markovian jump

Abstract

The problem of robust H2/H control for a class of linear continuous-time uncertain systems with randomly jumping parameters is investigated. The uncertainties are assumed to be norm-bounded. The transition of the jumping parameters is governed by a finite-state Markov process. A sufficient condition is first established on the existence of the robust H2/H controller bases on the bounded real lemma. Then the corresponding state-feedback law is given in terms of a set of linear matrix inequalities (LMIs) which can be easily solved by standard numerical software. Its solutions provide a parameterized representation of the controller. Finally, a numerical example was given to illustrate the feasibility of the proposed technique.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Min Bian
AU  - Qingyun Guo
PY  - 2014/03
DA  - 2014/03
TI  - Robust H2/H Control of Linear Markovian Jump Systems
BT  - Proceedings of the 2nd International Conference on Information, Electronics and Computer
PB  - Atlantis Press
SP  - 87
EP  - 90
SN  - 1951-6851
UR  - https://doi.org/10.2991/icieac-14.2014.20
DO  - 10.2991/icieac-14.2014.20
ID  - Bian2014/03
ER  -