Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships

Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships

Due to the input time-delay existing in most thrust systems of the ships, the robust H∞ controller is designed for the ship dynamic positioning (DP) system with time-delay. The input delay system is turned to a neutral time-delay system by a state-derivative control law. The less conservative result...

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Main Authors: Dawei Zhao, Fuguang Ding, Lili Zhou, Wenying Zhang, He Xu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/976925
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spelling doaj-04b0f20de6a9412992935a8d03e563b12020-11-24T21:16:51ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/976925976925Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning ShipsDawei Zhao0Fuguang Ding1Lili Zhou2Wenying Zhang3He Xu4College of Automation, Harbin Engineering University, Harbin 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin 150001, ChinaThe Institute of Automation of Heilongjiang Academy of Science, Harbin 150001, ChinaSchool of Science, Harbin Engineering University, Harbin 150001, ChinaCollege of Mechanics and Electronics Engineering, Harbin Engineering University, Harbin 150001, ChinaDue to the input time-delay existing in most thrust systems of the ships, the robust H∞ controller is designed for the ship dynamic positioning (DP) system with time-delay. The input delay system is turned to a neutral time-delay system by a state-derivative control law. The less conservative result is derived for the neutral system with state-derivative feedback by the delay-decomposition approach and linear matrix inequality (LMI). Finally, the numerical simulations demonstrate the asymptotic stability and robustness of the controller and verify that the designed DP controller is effective in the varying environment disturbances of wind, waves, and ocean currents.http://dx.doi.org/10.1155/2015/976925
collection DOAJ
language English
format Article
sources DOAJ
author Dawei Zhao
Fuguang Ding
Lili Zhou
Wenying Zhang
He Xu
spellingShingle Dawei Zhao
Fuguang Ding
Lili Zhou
Wenying Zhang
He Xu
Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships
Mathematical Problems in Engineering
author_facet Dawei Zhao
Fuguang Ding
Lili Zhou
Wenying Zhang
He Xu
author_sort Dawei Zhao
title Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships
title_short Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships
title_full Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships
title_fullStr Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships
title_full_unstemmed Robust H∞ Control of Neutral System with Time-Delay for Dynamic Positioning Ships
title_sort robust h∞ control of neutral system with time-delay for dynamic positioning ships
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description Due to the input time-delay existing in most thrust systems of the ships, the robust H∞ controller is designed for the ship dynamic positioning (DP) system with time-delay. The input delay system is turned to a neutral time-delay system by a state-derivative control law. The less conservative result is derived for the neutral system with state-derivative feedback by the delay-decomposition approach and linear matrix inequality (LMI). Finally, the numerical simulations demonstrate the asymptotic stability and robustness of the controller and verify that the designed DP controller is effective in the varying environment disturbances of wind, waves, and ocean currents.
url http://dx.doi.org/10.1155/2015/976925
work_keys_str_mv AT daweizhao robusthcontrolofneutralsystemwithtimedelayfordynamicpositioningships
AT fuguangding robusthcontrolofneutralsystemwithtimedelayfordynamicpositioningships
AT lilizhou robusthcontrolofneutralsystemwithtimedelayfordynamicpositioningships
AT wenyingzhang robusthcontrolofneutralsystemwithtimedelayfordynamicpositioningships
AT hexu robusthcontrolofneutralsystemwithtimedelayfordynamicpositioningships
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