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DELAYED FUZZY $H_{\infty }$ CONTROL OF OFFSHORE STEEL JACKET PLATFORMS

Part of: Controllability, observability, and system structure

Published online by Cambridge University Press:  16 May 2017

B.-L. ZHANG Open the ORCID record for B.-L. ZHANG [Opens in a new window]  and
Y.-M. XU
B.-L. ZHANG*
Affiliation:
College of Science, China Jiliang University, Hangzhou 310018, PR China email zhangbl2006@163.com
Y.-M. XU
Affiliation:
College of Science, China Jiliang University, Hangzhou 310018, PR China email zhangbl2006@163.com
*
✉ zhangbl2006@163.com
Rights & Permissions [Opens in a new window]

Abstract

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We study a delayed fuzzy $H_{\infty }$ control problem for an offshore platform under external wave forces. First, by considering perturbations of the masses of the platform and an active mass damper, a Takagi–Sugeno fuzzy model is established. Then, by introducing time delays into the control channel, a delayed fuzzy state feedback $H_{\infty }$ controller is designed. Simulation results show that the delayed fuzzy state feedback $H_{\infty }$ controller can reduce vibration amplitudes of the offshore platform and can save control cost significantly.

Keywords

offshore platformfuzzy controlactive controltime delaydelayed feedback control

MSC classification

Primary: 93B52: Feedback control

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 446 - 454
Copyright
© 2017 Australian Mathematical Society 

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