虚拟控制增益函数未知的随机非线性系统模糊自适应控制

？Theproblemoftrackcontrolisstudiedforaclassofstrict-feedbackstochasticnonlinearsystemsinwhichunknownvirtualcontrolgainfunctionisthemainfeature.First,theso-calledstochasticLaSalletheoryisextendedtosomeextent,andaccordingly,theresultsofglobalultimateboundednessforstochasticnonlinearsystemsaredeveloped.Next,anewdesignschemeoffuzzyadaptivecontrolisproposed.Theadvantageofitisthatitdoesnotrequireprioriknowledgeofvirtualcontrolgainfunctionsign,whichisusuallydemandedinmanydesigns.Atthesametime,thetrackperformanceofclosed-loopsystemsisimprovedbyadaptivemodifyingtheestimatederrorupperbound.Bytheoreticalanalysis,thesignalsofclosed-loopsystemsaregloballyultimatelyboundedinprobabilityandthetrackerrorconvergestoasmallresidualsetaroundtheoriginin4th-powerexpectation.