dynamic process models

dynamic process models - Dynamic Process Models 1 2 3 4...

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Dynamic Process Models 1. Introduction 2. State-space models 3. Transfer function models 4. Introduction to discrete-time models
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Theoretical Process Models Conservation equations » Fundamental basis for model development » » Nonlinear ODEs Constitutive equations » Semi-empirical relations required to complete model » Reaction rates, heat transfer rates, etc. » Nonlinear algebraic equations Parameter estimation » Needed to determine unknown parameters » Reaction rate constants, heat transfer coefficients, etc. » Yields parameter values that best fit available data
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Empirical Process Models Obstructions to fundamental modeling » Limited understanding of physicochemical mechanisms » Lack of modeling expertise and/or limited development time » Resulting model unnecessarily complex for controller design Alternative: empirical modeling » Build model directly from dynamic data » Often use discrete-time models Unknown Process u ( t ) Input Empirical Model Measured output Predicted output + - Error y ( t ) ) ( ˆ t y e ( t )
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The Empirical Modeling Process Data generation » Input sequence design » » Data analysis Model formulation » Determination of appropriate model form
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dynamic process models - Dynamic Process Models 1 2 3 4...

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