Mathematical Foundations of Physical Systems Modeling Languages

Article accepted for publication in the Annual Review in Control Modern modeling languages for general physical systems, such as Modelica, Amesim, or Simscape, rely on Differential Algebraic Equations (DAE), i.e., constraints of the form f(x’,x,u)=0. This drastically facilitates modeling from first principles of the physics and the reuse of models.…

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Implicit structural analysis of multimode DAE systems

Paper presented at HSCC’20 Modeling languages and tools based on Differential Algebraic Equations (DAE) bring several specific issues that do not exist with modeling languages based on Ordinary Differential Equations. The main problem is the determination of the differentiation index and latent equations. Prior to generating simulation code and calling…

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