简介：ThispaperisconcernedwiththeH-infinitycontrolproblemforaclassofcascadeswitchednonlinearsystems.Eachswitchedsysteminthisclassiscomposedofazero-inputasymptoticallystablenonlinearpart,whichisalsoaswitchedsystem,andalinearizablepartwhichiscontrollable.ConditionsunderwhichtheH-infinitycontrolproblemissolvableunderarbitraryswitchinglawandundersomedesignedswitchinglawarederivedrespectively.Thenonlinearstatefeedbackandswitchinglawaredesigned.WeexploitthestructuralcharacteristicsoftheswitchednonlinearsystemstoconstructcommonLyapunovfunctionsforarbitraryswitchingandtofindasingleLyapunovfunctionfordesignedswitchinglaw.TheproposedmethodsdonotrelyonthesolutionsofHamilton-Jacobiinequalities.