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基于多滑模面的船舶航向非线性系统终端滑模模糊控制(英文) 1.Introduction Thecontrolofship'sheadingisessentialforsafenavigation,especiallyinchallengingseaconditions.However,thenonlineardynamicsofshipsandthepresenceofexternaldisturbancescanmakeitdifficulttoachieveaccurateandefficientcontrol.OnesolutionistouseaTerminalSlidingModeControl(TSMC)approach,whichensuresthesystem'sconvergencetoadesiredstateinfinitetime.ThispaperaimstoproposeanovelTSMCmethodbasedonmultipleslidingmodesandfuzzycontrolforshipheadingcontrol. 2.ProblemFormulation Thenonlineardynamicsofaship'sheadingcanberepresentedbythefollowingequation: ψ̇=r-δ whereψistheship'sheadingangle,risthedesiredheadingangle,andδistherudderangle.Theobjectiveofthecontrolsystemistotrackthedesiredheadinganglerbyadjustingtherudderangleδ.However,thepresenceofexternaldisturbances,suchaswindandcurrents,canaffectthecontrolsystem'sperformance. 3.TerminalSlidingModeControlwithMultipleSlidingModes Toaddressthechallengesassociatedwithshipheadingcontrol,weproposeaTSMCmethodbasedonmultipleslidingmodes.Thesystemperformanceisimprovedbyswitchingbetweendifferentslidingmodesbasedonthecontrolerror.Thecontrollawisdefinedas: u=-λsign(s)-σμ(s)(λsign(s)+υ) wheresistheslidingerror,λistheslidingsurfaceslope,σisapositiveconstant,μ(s)isthefuzzymembershipfunction,andυisthefuzzyoutput.Attheboundarylayer,thesecondtermdisappears,resultinginaclassicalslidingmodecontrol. 4.FuzzyLogicController TheadditionofaFuzzyLogicController(FLC)totheTSMCimprovesthesystem'srobustnesstoexternaldisturbances.TheFLCutilizesexpertknowledgetocapturetheuncertainandvaguenatureoftheexternaldisturbances.Inthisstudy,theFLCisusedtoadjustthefuzzyoutputυ.TheinputtotheFLCistherateofchangeoftheslidingerror.TheFLCmembershipfunctionsandrulesaredesignedbasedonexpertknowledgeandexperience. 5.SimulationResults TheproposedTSMCmethodwithmultipleslidingmodesandFLCwasevaluatedwithasimulationstudyusingMATLAB/Simulink.Theperformanceofthecontrolsystemwasevaluatedusingthetrackingerrorandthecontrolinput.Thesimulationresultsdemons