03 Modeling and simulation of Physical systems

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1、Section2:ModelingandsimulationofPhysicalsystemsWhatisMechatronicsSystem?WhyistheModelMustNeeded?LaplacetransformsModelingofMechatronicsSimulationandBlockDiagramsOutline1.WhatisMechatronicsSystem?MechatronicsSimulationandmodelingAutomaticcontrolOptimalprocessingMechanicalsystemElectroni

2、cssystemSensorActuatorComputersystemA/DD/AMechatronicsInterfaceKeyElementsofMechatronicsAtypicalmechatronicssystem.1.WhatisMechatronicsSystem?InputoutputSystemMathematicalmodelscanhelpustounderstandandcontrolcomplexsystemeffectively.Soitisnecessarytoanalyzetherelationshipsbetweenthesys

3、temvariablesandtoobtainamathematicalmodel.Becausethesystemsaredynamicinnature,thedescriptiveequationsareusuallydifferentialequations,iftheycanbelinearized,thenLaplacetransformcanbeusedtosimplifythemethodofsolution.2.WhyistheModelMustNeeded?AnalysisDesignorControl(1)SometypicalareasInpu

4、tOutput??System1.SystemAnalysisInput??OutputSystem2.OptimalControlInputOutputSystem??3.SystempredictionInputOutputSystem??4.Modeling,SystemidentificationInputOutputSystem??5.OptimalDesignidentifyoptimalFromtheExamplestoKnow???????NextChapter:SystemandControl3.LaplacetransformsWhatAreLa

5、placeTransformsWhytouseLaplaceCalculationHowDoYouTransformanDifferentialEquationAfewExamples1.WhatAreLaplaceTransformsALaplacetransformisatypeofintegraltransform.PlugonefunctioninGetanotherfunctionoutThenewfunctionisinadifferentdomain.istheLaplacetransformofWriteWhen1.WhatAreLaplaceTra

6、nsforms2.WhytouseLaplacec1tTheHeavisideFunction3.CalculationCalculatingtheLaplacetransformoftheHeavisidefunctionisalmosttrivial.Rememberthatiszerountilthenit’sone.3.Calculation3.Calculation3.Calculation3.Calculation3.Calculation3.Calculation4.HowDoYouTransformanDifferentialEquation1.La

7、placetransforms,andinversetransforms,arelinear:forfunctionsf(t),g(t),constantc,andtransformsF(s),G(s).2.ThereisaverysimplerelationshipbetweentheLaplacetransformofagivenfunctionandtheLaplacetransformofthatfunction’sderivative.Theseshowwhenweapplydifferentiationbypartstotheintegraldefi