Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)

H∞Control for Markovian Jump Delay Systems with Distributed Delay

Authors
Tao Wu, Lianglin Xiong, Jinlong Shu
Corresponding Author
Tao Wu
Available Online December 2017.
DOI
https://doi.org/10.2991/ecae-17.2018.30How to use a DOI?
Keywords
new integral inequality; H∞ control; Markovian jump delay systems with distributed delay
Abstract

This paper aims to design the H∞ controller for continuous Markovian jump systems with distributed delay. First, a new integral inequality is proposed. Next, based on the constructed Lyapunov functional, the new introduced inequality is used to investigate the delay-dependent stability condition for the systems. Third, a delay-dependent condition is derived for the solvability of the H∞ control problem, and the desired controller can be obtained. Finally, a numerical example is provided to demonstrate the effectiveness and the less conservatism of the method.

Copyright
© 2018, 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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Volume Title
Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)
Series
Advances in Engineering Research
Publication Date
December 2017
ISBN
978-94-6252-458-3
ISSN
2352-5401
DOI
https://doi.org/10.2991/ecae-17.2018.30How to use a DOI?
Copyright
© 2018, 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/).

Cite this article

TY  - CONF
AU  - Tao Wu
AU  - Lianglin Xiong
AU  - Jinlong Shu
PY  - 2017/12
DA  - 2017/12
TI  - H∞Control for Markovian Jump Delay Systems with Distributed Delay
BT  - Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)
PB  - Atlantis Press
SP  - 138
EP  - 143
SN  - 2352-5401
UR  - https://doi.org/10.2991/ecae-17.2018.30
DO  - https://doi.org/10.2991/ecae-17.2018.30
ID  - Wu2017/12
ER  -