Model predictive control with linear models

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1、ProcessSystemsEnaineerinaModelPredictiveControlwithLinearModelsKennethR.MuskeandJamesB.RawlingsDept.ofChemicalEngineering,UniversityofTexasatAustin,Austin,TX78712Thisarticlediscussestheexistinglinearmodelpredictivecontrolconceptsinaunifiedtheoreticalframeworkbasedonastabilizing,infinit

2、ehorizon,linearquad-raticregulator.Inordertorepresentunstableaswellasstablemultivariablesystems,thestandardstate-spaceformulationisusedfortheplantmodel.Theincorporationofanominallystabilizingconstrainedregulatoreliminatesthecurrentrequirementoftuningfornominalstability.Outputfeedbackis

3、addressedinthewell-establishedframeworkofthelinearquadraticstate-estimationproblem.Thisframeworkallowstheflexibilitytohandlenonsquaresystems,noisyinputsandoutputs,andnonzeroinput,output,andstatedisturbances.Thisformulationsubsumestheintegralcontrolschemesdesignedtoremovesteady-stateoff

4、setcurrentlyinindustrialuse.Theon-lineimplementationofthecontrollerrequiresthesolutionofastandardquadraticprogramthatisnomorecomputationallyintensivethanexistingalgorithms.IntroductionLinearmodelpredictivecontrolreferstoaclassofcontrolstrained,multivariableprocesses.Theemphasisinthedev

5、el-algorithmsthatcomputeamanipulatedvariableprofilebyopmentofthesecontrollerswasarobustalgorithmwithutilizingalinearprocessmodeltooptimizealinearorquadraticacceptableperformancethatcouldbeimplementedon-line.open-loopperformanceobjectivesubjecttolinearconstraintsTherefore,severalaspects

6、ofthesecontrollersweredesignedoverafuturetimehorizon.Thefirstmoveofthisopenloopbasedonaheuristicapproachwithlittletheoreticaljustifi-optimalmanipulatedvariableprofileisthenimplemented.Thiscation.Thisproducedcontrollersthatperformedverywellforprocedureisrepeatedateachcontrolintervalwith

7、theprocessaspecificclassofplants,butwereunabletoadequatelyaddressmeasurementsusedtoupdatetheoptimizationproblem.others.Theseremarksarenotintendedtominimizethesig-Thisclassofcontrolalgorithms,whichisalsoreferredtonificanceofthecontributionmadebyindustry.Wereitnotasrecedinghorizoncontr