Transcription of System Modeling - cds.caltech.edu
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Asked Fermiwhetherhe wasnotimpressed by theagreementbetweenourcalculated numbersandhismeasured , \Howmanyarbitraryparametersdidyouusefory ourcalculations?"I thoughtforamomentaboutourcut-o procedures andsaid,\Four."Hesaid,\I remembermyfriendJohnnyvonNeumannused to say,withfourparametersI can tanelephant,andwith veI canmakehimwigglehistrunk."FreemanDysonon describingthepredictionsof hismodelformeson-protonscatteringto EnricoFermoin 1953[8].A modelis a preciserepresentationof a System 'sdynamicsusedto an-swer choosedependsonthequestionsthatwe wishto answer,andso theremay be multiplemod-elsfora singlephysicalsystem,withdi erent levelsof delity dependingonthephenomenaof thischapterwe providean introductionto theconceptof Modeling ,andprovidesomebasicmaterialontw o speci cmeth-odsthatarecommonlyusedin feedback andcontrolsystems:di erentialequationsanddi modelis a mathematicalrepresentationof a physical, ustoreasonabou
A model is a precise representation of a system’s dynamics used to an-swer questions via analysis and simulation. The model we choose depends on the questions that we wish to answer, and so there may be multiple mod-els for a single physical system, with difierent levels of fldelity depending on the phenomena of interest.
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