Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay

Aiming at the economy and security of the positioning system in semi-submersible platform, the paper presents a new scheme based on the mooring line switching strategy. Considering the input delay in switching process, H∞ control with time-varying input delay is designed to calculate the control for...

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Main Authors: Xiaoyu Su, Hongzhang Jin, Wei Shen, Yunbiao Gu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2014/123107
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author Xiaoyu Su
Hongzhang Jin
Wei Shen
Yunbiao Gu
author_facet Xiaoyu Su
Hongzhang Jin
Wei Shen
Yunbiao Gu
author_sort Xiaoyu Su
collection DOAJ
description Aiming at the economy and security of the positioning system in semi-submersible platform, the paper presents a new scheme based on the mooring line switching strategy. Considering the input delay in switching process, H∞ control with time-varying input delay is designed to calculate the control forces to resist disturbing forces. In order to reduce the conservativeness, the information of the lower bound of delay is taken into account, and a Lyapunov function which contains the range of delay is constructed. Besides, the input constraint is considered to avoid breakage of mooring lines. The sufficient conditions for delay-range-dependent stabilization are derived in terms of LMI, and the controller is also obtained. The effectiveness of the proposed approach is illustrated by a realistic design example.
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institution Kabale University
issn 1070-9622
1875-9203
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Shock and Vibration
spelling doaj-art-b5462d5913ff45c9957e2871b099d91f2025-02-03T05:46:29ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/123107123107Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input DelayXiaoyu Su0Hongzhang Jin1Wei Shen2Yunbiao Gu3College of Automation, Harbin Engineering University, Harbin 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin 150001, ChinaSchool of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150080, ChinaTianjin Navigation Instrument Research Institute, Tianjin 300131, ChinaAiming at the economy and security of the positioning system in semi-submersible platform, the paper presents a new scheme based on the mooring line switching strategy. Considering the input delay in switching process, H∞ control with time-varying input delay is designed to calculate the control forces to resist disturbing forces. In order to reduce the conservativeness, the information of the lower bound of delay is taken into account, and a Lyapunov function which contains the range of delay is constructed. Besides, the input constraint is considered to avoid breakage of mooring lines. The sufficient conditions for delay-range-dependent stabilization are derived in terms of LMI, and the controller is also obtained. The effectiveness of the proposed approach is illustrated by a realistic design example.http://dx.doi.org/10.1155/2014/123107
spellingShingle Xiaoyu Su
Hongzhang Jin
Wei Shen
Yunbiao Gu
Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay
Shock and Vibration
title Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay
title_full Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay
title_fullStr Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay
title_full_unstemmed Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay
title_short Delay-Range-Dependent H∞ Control for Automatic Mooring Positioning System with Time-Varying Input Delay
title_sort delay range dependent h∞ control for automatic mooring positioning system with time varying input delay
url http://dx.doi.org/10.1155/2014/123107
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AT hongzhangjin delayrangedependenthcontrolforautomaticmooringpositioningsystemwithtimevaryinginputdelay
AT weishen delayrangedependenthcontrolforautomaticmooringpositioningsystemwithtimevaryinginputdelay
AT yunbiaogu delayrangedependenthcontrolforautomaticmooringpositioningsystemwithtimevaryinginputdelay