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自动化学报 2005
一类前馈系统的鲁棒镇定, PP. 620-624 Keywords: Input-to-statestability,input-to-statestabilitywithrestrictionsoninputs,smallgaintheory,saturatedcontrol Abstract: ？Twokindsofsaturatedcontrollersaredesignedforaclassoffeedforwardsystemsandtheclosed-loopresultedislocallyinput-to-statestableandinput-to-statestable,respectively.Bytheword"locally",itismeantthattherearerestrictionsontheamplitudeofinputs.Atfirst,undertheguidanceofsuitableenergyfunctions,twokindsofsaturatedcontrollersaredesignedaslocallyinput-to-statestabilizersforaclassofperturbedlinearsystems,fromwhichexplicitgainestimationscanbeobtainedforthesubsequentdesign.Thenundertheconditionsthattwosubsystemsofthefeedforwardsystemarerespectivelyoflocallyinput-to-statestabilityandinput-to-statestability,thesmallgaintheoryisusedtodeterminesaturateddegreesforcorrespondingrobuststabilizers.Thestabilityproofsaregivenbyusinganewcharacterizationofinput-to-statestabilitythatisbasedontheconceptofultimateboundedness.Asanapplication,saturatedcontrollersaredesignedforthepartialdynamicsofacertaininvertedpendulum.
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