9/1/20091Chapter 2 Modeling and SimulationDynamic Model:mathematical description of the process. How to model a dynamic system?First Principal (principals in physics)Typically, a set of differential equations. These equations can be Nonlinear Time Varying and Infinite Dimensional.In this course, we consider a special class of approximations: Experimental methodsMechanical Systems: Various forms of Newton’s LawLinear motion: F=maRotational Motion: TIθ=&&Linear Time Invariant (LTI) processes. Models can be given in other forms:Transfer functions descriptions and graphical forms, etcElectric Circuits:Kirchhoff’s current law (KCL)Kirchhoff’s voltage law (KVL)Models of Electric CircuitsKirchhoff’s current law(KCL):The algebraic sum of currents leaving a junction or node equals the algebraic sum of currents entering that node.Kirchhoff’s voltage law(KVL):The algebraic sum of all voltages taken around a closed path in a circuit is zero.
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