This book gives an in-depth introduction to the areas of modeling, identification, simulation, and optimization. These scientific topics play an increasingly dominant part in many engineering areas such as electrotechnology, mechanical engineering, aerospace, and physics. This book represents a unique and concise treatment of the mutual interactions among these topics. Techniques for solving general nonlinear optimization problems as they arise in identification and many synthesis and design methods are detailed. The main points in deriving mathematical models via prior knowledge concerning…mehr
This book gives an in-depth introduction to the areas of modeling, identification, simulation, and optimization. These scientific topics play an increasingly dominant part in many engineering areas such as electrotechnology, mechanical engineering, aerospace, and physics. This book represents a unique and concise treatment of the mutual interactions among these topics. Techniques for solving general nonlinear optimization problems as they arise in identification and many synthesis and design methods are detailed. The main points in deriving mathematical models via prior knowledge concerning the physics describing a system are emphasized. Several chapters discuss the identification of black-box models. Simulation is introduced as a numerical tool for calculating time responses of almost any mathematical model. The last chapter covers optimization, a generally applicable tool for formulating and solving many engineering problems.
IntroductionModelingIntroductionModel Building ApproachesMathematical ModelsIndex of a DAEExamplesBond GraphsComparison Circuits, Bond Graphs, and Block DiagramsExamplesSummaryReferencesProblemsBlack-Box Model RepresentationsIntroductionDiscrete-Time SystemsImpulse Response and Transfer FunctionDisturbancesTime-Domain RepresentationsFrequency-Domain RepresentationsExamples: Calculation of Stochastic QuantitiesSummaryReferencesProblemsNonparametric IdentificationTime-Domain Identification by Correlation AnalysisFrequency Response AnalysisFrequency Response Analysis by the Correlation MethodFourier Analysis: The Empirical Transfer Function EstimatePersistence of ExcitationSummaryReferencesProblemsParametric IdentificationPrediction Error MethodsPrediction ModelsLeast Squares MethodAnalysis of the Linear LS EstimateConvergence and ConsistencyApproximate IdentificationSummaryReferencesProblemsIdentification in PracticeExperiment DesignModel Structure SelectionModel ValidationSummaryReferencesProblemsSimulationIntroductionSimulation ToolsNumerical Solution of Differential EquationsConversion from Parallel to SeriesSolving Stiff ODEs and DAEsApplicationsSummaryReferencesProblemsOptimizationIntroductionConvergenceDetermination of Step Size siDetermination of Search Direction diLeast Squares ProblemOptimization with ConstraintsSummaryReferencesProblemsLiteratureIndex
IntroductionModelingIntroductionModel Building ApproachesMathematical ModelsIndex of a DAEExamplesBond GraphsComparison Circuits, Bond Graphs, and Block DiagramsExamplesSummaryReferencesProblemsBlack-Box Model RepresentationsIntroductionDiscrete-Time SystemsImpulse Response and Transfer FunctionDisturbancesTime-Domain RepresentationsFrequency-Domain RepresentationsExamples: Calculation of Stochastic QuantitiesSummaryReferencesProblemsNonparametric IdentificationTime-Domain Identification by Correlation AnalysisFrequency Response AnalysisFrequency Response Analysis by the Correlation MethodFourier Analysis: The Empirical Transfer Function EstimatePersistence of ExcitationSummaryReferencesProblemsParametric IdentificationPrediction Error MethodsPrediction ModelsLeast Squares MethodAnalysis of the Linear LS EstimateConvergence and ConsistencyApproximate IdentificationSummaryReferencesProblemsIdentification in PracticeExperiment DesignModel Structure SelectionModel ValidationSummaryReferencesProblemsSimulationIntroductionSimulation ToolsNumerical Solution of Differential EquationsConversion from Parallel to SeriesSolving Stiff ODEs and DAEsApplicationsSummaryReferencesProblemsOptimizationIntroductionConvergenceDetermination of Step Size siDetermination of Search Direction diLeast Squares ProblemOptimization with ConstraintsSummaryReferencesProblemsLiteratureIndex
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