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自动化学报 2005
离散线性时滞系统的次优控制:逐次逼近法, PP. 419-426 Keywords: Discretesystems,time-delaysystems,optimalcontrol,suboptimalcontrol,successiveapproximationapproach Abstract: ？Asuccessiveapproximationapproachfordesigningoptimalcontrollersispresentedfordiscretelineartime-delaysystemswithaquadraticperformanceindex.Byusingthesuccessiveapproximationapproach,theoriginaloptimalcontrolproblemistransformedintoasequenceofnonhomogeneouslineartwo-pointboundaryvalue(TPBV)problemswithouttime-delayandtime-advanceterms.Theoptimalcontrollawobtainedconsistsofanaccuratefeedbacktermsandatime-delaycompensationtermwhichisthelimitofthesolutionsequenceoftheadjointequations.Byusingafinite-stepiterationofthetime-delaycompensationtermoftheoptimalsolutionsequence,asuboptimalcontrollawisobtained.Simulationexamplesareemployedtotestthevalidityoftheproposedapproach.
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