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Modeling of Dynamic Systems from First Principles

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Encyclopedia of Systems and Control
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Abstract

This paper describes how models can be formed from the basic principles of physics and the other fields of science. Use can be made of similarities between different domains which leads to the concepts of bond graphs and, more abstractly, to port-controlled Hamiltonian systems. The class of models is naturally extended to differential algebraic equations (DAE) models. The concepts described here form a natural basis for parameter identification in gray box models.

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Bibliography

  • Brenan KE, Campbell SL, Petzold LR (1987) Numerical solution of initial-value problems in differential-algebraic equations. Classics in applied mathematics (Book 14). SIAM

    Google Scholar 

  • Campbell S, Illchmann A, Mehrmann V, Reis T (2019) Applications of differential-algebraic equations. Examples and benchmarks. Springer

    Google Scholar 

  • Duindam V, Macchelli A, Stramigioli S, Bruyninckx H (eds) (2009) Modeling and control of complex physical systems: the port-Hamiltonian approach. Springer

    Google Scholar 

  • Fritzson P (2015) Principles of object-oriented modeling and simulation with Modelica 3.3. IEEE Press/Wiley Interscience

    Google Scholar 

  • Gerdin M, Schön T, Glad T, Gustafsson F, Ljung L (2007) On parameter and state estimation for linear differential-algebraic equations. Automatica 43: 416–425

    Article  MathSciNet  MATH  Google Scholar 

  • Kunkel P, Mehrmann V (2006) Differential-algebraic equations. European Mathematical Society

    Book  MATH  Google Scholar 

  • Ljung L, Glad ST (1994) On global identifiability of arbitrary model parameterizations. Automatica 30(2): 265–276

    Article  MathSciNet  MATH  Google Scholar 

  • Ljung L, Glad T (2016) Modeling and identification of dynamic systems. Studentlitteratur

    MATH  Google Scholar 

  • MathWorks T (2019) Simscape. The MathWorks. https://se.mathworks.com/products/simscape.html

    Google Scholar 

  • Ritt JF (1950) Differential algebra. American Mathematical Society, Providence

    Book  MATH  Google Scholar 

  • Rosenberg RC, Karnopp D (1983) Introduction to physical system dynamics. McGraw-Hill

    Google Scholar 

  • Tiller MM (2012) Introduction to physical modeling with Modelica. Springer

    Google Scholar 

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Correspondence to S. Torkel Glad .

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Glad, S.T. (2021). Modeling of Dynamic Systems from First Principles. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_102

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