Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion

In order to improve the robustness and energy saving of the controller for multiple input multiple output (MIMO) unstable systems, the mathematical model of pitching and the heave motion of the scientific ship “YUKUN” of Dalian Maritime University is taken as the research plant, and the root locus o...

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Main Author: CAO Tian, ZHANG Xianku
Format: Article
Language:zho
Published: Editorial Office of Journal of Shanghai Jiao Tong University 2023-08-01
Series:Shanghai Jiaotong Daxue xuebao
Subjects:
Online Access:https://xuebao.sjtu.edu.cn/article/2023/1006-2467/1006-2467-57-8-972.shtml
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author CAO Tian, ZHANG Xianku
author_facet CAO Tian, ZHANG Xianku
author_sort CAO Tian, ZHANG Xianku
collection DOAJ
description In order to improve the robustness and energy saving of the controller for multiple input multiple output (MIMO) unstable systems, the mathematical model of pitching and the heave motion of the scientific ship “YUKUN” of Dalian Maritime University is taken as the research plant, and the root locus of the transfer function mathematical model with unstable zero-pole and zero-pole processes is pulled to the left half plane by using the root locus shaping technique and weighting matrix. The first-order closed-loop gain shaping algorithm is used to design the robust controller, and the nonlinear feedback driven by the bi-polar S function is introduced to replace the original error linear feedback. The simulation results show that the nonlinear feedback control improves heave and pitching when the model is perturbed, greatly reduces the control energy, and is robust to model disturbance. The solution process of the scheme is simple, and the physical significance of the controller and the controlled object of the whole system is clear. The order of the controller design is low, and the controller design method of the MIMO unstable system is supplemented and perfected.
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spelling doaj.art-9f6328b5ecee4da7aba555b485b196de2023-09-01T01:26:00ZzhoEditorial Office of Journal of Shanghai Jiao Tong UniversityShanghai Jiaotong Daxue xuebao1006-24672023-08-0157897298010.16183/j.cnki.jsjtu.2022.076Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal MotionCAO Tian, ZHANG Xianku0Navigation College, Dalian Maritime University, Dalian 116026, Liaoning, ChinaIn order to improve the robustness and energy saving of the controller for multiple input multiple output (MIMO) unstable systems, the mathematical model of pitching and the heave motion of the scientific ship “YUKUN” of Dalian Maritime University is taken as the research plant, and the root locus of the transfer function mathematical model with unstable zero-pole and zero-pole processes is pulled to the left half plane by using the root locus shaping technique and weighting matrix. The first-order closed-loop gain shaping algorithm is used to design the robust controller, and the nonlinear feedback driven by the bi-polar S function is introduced to replace the original error linear feedback. The simulation results show that the nonlinear feedback control improves heave and pitching when the model is perturbed, greatly reduces the control energy, and is robust to model disturbance. The solution process of the scheme is simple, and the physical significance of the controller and the controlled object of the whole system is clear. The order of the controller design is low, and the controller design method of the MIMO unstable system is supplemented and perfected.https://xuebao.sjtu.edu.cn/article/2023/1006-2467/1006-2467-57-8-972.shtmlmultiple input multiple output (mimo) unstable systemroot locus shapingnonlinear feedbackrobust controllerreduction of pitch
spellingShingle CAO Tian, ZHANG Xianku
Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion
Shanghai Jiaotong Daxue xuebao
multiple input multiple output (mimo) unstable system
root locus shaping
nonlinear feedback
robust controller
reduction of pitch
title Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion
title_full Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion
title_fullStr Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion
title_full_unstemmed Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion
title_short Nonlinear Feedback Control of MIMO Unstable System for Ship Longitudinal Motion
title_sort nonlinear feedback control of mimo unstable system for ship longitudinal motion
topic multiple input multiple output (mimo) unstable system
root locus shaping
nonlinear feedback
robust controller
reduction of pitch
url https://xuebao.sjtu.edu.cn/article/2023/1006-2467/1006-2467-57-8-972.shtml
work_keys_str_mv AT caotianzhangxianku nonlinearfeedbackcontrolofmimounstablesystemforshiplongitudinalmotion