简介:基于随机微分博弈Markov跳变线性系统,利用微分博弈理论讨论其H∞鲁棒控制问题.将随机Markov跳变线性系统的H∞鲁棒控制问题转化为相应的零和博弈模型,在此基础上,利用鞍点均衡理论,得到了其鲁棒控制存在的充分条件等价于相应的差分Rcati方程存在解,并给出了最优控制策略.
简介:Stronghydrodynamicinteractionsduringtheside-by-sideoffloadingoperationbetweenfloatingliquefiednaturalgas(FLNG)andliquefiednaturalgascarrier(LNGC)caninducehighrisksofcollision.Theweathervaneeffectofasingle-pointmooringsystemnormallyresultsinthesatisfactoryhydrodynamicperformanceoftheside-by-sideconfigurationinheadseas.Nevertheless,thechangesinwavedirectionsinrealseaconditionscansignificantlyinfluencetherelativemotions.Thisarticlestudiestherelativemotionsoftheside-by-sidesystembyusingthetheoreticalanalysismethodandthenumericalcalculationmethod.Basedonthethree-dimensionalpotentialtheorymodifiedbyartificialdamping-lidmethod,thefrequency-domainhydrodynamiccoefficientscanbeimprovedtocalculatetheretardationfunctionsforthemulti-bodyproblem.Anin-housecodeisthendevelopedtoperformthetime-domainsimulationoftwovessels,throughwhichtherelativemotionsaresubsequentlyobtained.Arangeofobliquewavesarechosenfortheextensivecalculationofrelativemotionsbetweenthetwovessels,whicharefurtheranalyzedintermsofthephaseshiftofmotionresponsesinducedbyspecificresonantwavepatterns.Investigationresultsshowthatwavedirectionshaveasignificantinfluenceontherelativesway,roll,andyawmotions.Underthecircumstancethattheabsolutephaseshiftbetweentherollmotionsoftwovesselsapproaches180°,strongerrelativemotionsareinducedwhenLNGCisontheweatherside.Moreover,thegapwaterresonancesathighfrequenciestendtocausethedangerousopposedoscillationoftwovesselsintheswayandyawmodes,whereasFLNGreducesthegapwaterresonancesandrelativemotionswhenlocatedontheweatherside.