迭代学习控制在线性时变系统终端控制问题中的应用研究

？AniterativelearningcontrolalgorithmbasedonshiftedLegendreorthogonalpolynomialsisproposedtoaddresstheterminalcontrolproblemoflineartime-varyingsystems.First,themethodparameterizesalineartime-varyingsystembyusingshiftedLegendrepolynomialsapproximation.Then,anapproximatedmodelforthelineartime-varyingsystemisdeducedbyemployingtheorthogonalityrelationsandboundaryvaluesofshiftedLegendrepolynomials.Basedonthemodel,theshiftedLegendrepolynomialscoefficientsofcontrolfunctionareiterativelyadjustedbyanoptimaliterativelearninglawderived.Thealgorithmpresentedcanavoidsolvingthestatetransfermatrixoflineartime-varyingsystems.Simulationresultsillustratetheeffectivenessoftheproposedmethod.