Open Access System for Information Sharing

Login Library

 

Article
Cited 20 time in webofscience Cited 20 time in scopus
Metadata Downloads

H-infinity control for singular Markovian jump systems with incomplete knowledge of transition probabilities

Title
H-infinity control for singular Markovian jump systems with incomplete knowledge of transition probabilities
Authors
Kwon, NKPark, ISPark, P
POSTECH Authors
Park, P
Date Issued
Feb-2017
Publisher
ELSEVIER SCIENCE INC
Abstract
This paper proposes a H-infinity. state-feedback control for singular Markovian jump systems with incomplete knowledge of transition probabilities. Different from the previous results where the transition rates are completely known or the bounds of the unknown transition rates are given, a more general situation where the transition rates are partly unknown and the bounds of the unknown transition rates are also unknown is considered. Moreover, in contrast to the singular Markovian jump systems studied recently, the proposed method does not require any tuning parameters that arise when handling non-convex terms related to the mode-dependent Lyapunov matrices and the corresponding self-mode transition rates. Also, this paper uses all possible slack variables related to the transition rates into the relaxation process which contributes to reduce the conservatism. Finally, two numerical examples are provided to demonstrate the performance of H-infinity. mode-dependent control. (C) 2016 Elsevier Inc. All rights reserved.
This paper proposes a H-infinity. state-feedback control for singular Markovian jump systems with incomplete knowledge of transition probabilities. Different from the previous results where the transition rates are completely known or the bounds of the unknown transition rates are given, a more general situation where the transition rates are partly unknown and the bounds of the unknown transition rates are also unknown is considered. Moreover, in contrast to the singular Markovian jump systems studied recently, the proposed method does not require any tuning parameters that arise when handling non-convex terms related to the mode-dependent Lyapunov matrices and the corresponding self-mode transition rates. Also, this paper uses all possible slack variables related to the transition rates into the relaxation process which contributes to reduce the conservatism. Finally, two numerical examples are provided to demonstrate the performance of H-infinity. mode-dependent control. (C) 2016 Elsevier Inc. All rights reserved.
URI
http://oasis.postech.ac.kr/handle/2014.oak/37069
DOI
10.1016/j.amc.2016.09.004
ISSN
0096-3003
Article Type
Article
Citation
APPLIED MATHEMATICS AND COMPUTATION, vol. 295, page. 126 - 135, 2017-02
Files in This Item:
There are no files associated with this item.

qr_code

  • mendeley

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher

 PARK, POOGYEON
Dept of Electrical Enginrg
Read more

Views & Downloads

Browse