Variable structure control for three-variable autocatalytic reaction

(整期优先)网络出版时间:2013-03-13
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Inthispaper,twoirreversibleexothermicautocatalyticreactionswhichcarryoutincontinuousstirredtankreactor(CSTR)areconsidered.Adifferential-algebraicsystemisappliedtomodelthesechemicalreactions.Thestabilityandthedynamicbehaviorarestudiedforthedifferential-algebraicsystem.TheHopfbifurcationappearswhentheparameterexceedsacriticalvalue.Inordertoeliminatethiscomplexbehavior,thedifferential-algebraicsystemisdescribedbyasingle-inputandsingle-outputsystemwithparametervaryingwithindefiniteintervals,andthenvariablestructurecontrolwithslidingmodebasedonaspecialpowerreachinglawisdesignedtostabilizethischemicalsystem.Numericalsimulationsaregiventoillustratetheeffectivenessofthemethod.