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基于黄金分割的船舶航向自适应控制方法研究 摘要 本文基于黄金分割的原理,研究了一种船舶航向自适应控制方法。通过对目标航向和实际航向的误差进行监测和分析,利用黄金分割法进行反馈控制,实现了船舶航向的自适应控制。实验结果表明,该方法具有良好的控制效果和稳定性,可以有效提高船舶的航行精度和安全性。 关键词:黄金分割;船舶;航向自适应控制;控制效果;稳定性 Abstract Inthispaper,ashipheadingadaptivecontrolmethodbasedongoldensectionprincipleisstudied.Bymonitoringandanalyzingtheerrorbetweenthetargetheadingandtheactualheading,usinggoldensectionmethodforfeedbackcontrol,theadaptivecontrolofshipheadingisrealized.Theexperimentalresultsshowthatthemethodhasgoodcontroleffectandstability,whichcaneffectivelyimprovethenavigationaccuracyandsafetyoftheship. Keywords:Goldensection;ship;headingadaptivecontrol;controleffect;stability 1.Introduction Shipnavigationisacomplexanddynamicprocess,andtheshipheadingisthekeyfactorthataffectsthenavigationdirectionandcourse.Inordertoimprovethenavigationaccuracyandsafetyofships,itisnecessarytoestablishaneffectiveandreliableshipheadingcontrolsystem.Traditionalshipheadingcontrolmethodsmainlyrelyonmanualoperationandmechanicalcontrol,whicharelimitedbythehumanfactorandthemechanicalsystemconstraints,andcannotfullymeettherequirementsofmodernnavigation.Withthedevelopmentofcontroltheoryandtechnology,adaptivecontrolmethodshavebeenwidelyusedinshipheadingcontrol,whichcandynamicallyadjustthecontrolparametersaccordingtothechangeofnavigationenvironment,soastoachievethepurposeofautomaticcontrol. 2.RelatedWorks Thegoldensectionprincipleisamathematicalconceptthathasbeenwidelyusedinvariousfields,includingengineering,economics,andbiology.Inshipnavigation,thegoldensectionprinciplecanbeusedtooptimizeshipheadingcontrol.Previousstudieshaveproposedvariousadaptivecontrolmethodsbasedonthegoldensectionprinciple.Forexample,Zhangetal.(2015)proposedashipheadingadaptivecontrolmethodbasedonthegradientdescentalgorithmandthegoldensectionprinciple,whichhasachievedgoodcontroleffectandstability.Wangetal.(2017)presentedafuzzyadaptivecontrolmethodbasedonthegoldensectionprincipleforshipheadingcontrol,whichhastheadvantagesofhighprecisionandrobustness. 3.TheProposedMeth