9/1/2009
1
Chapter 2 Modeling and
Simulation
Dynamic 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 methods
Mechanical Systems
: Various forms
of Newton’s Law
Linear motion:
F=ma
Rotational Motion:
T
I
θ
=
&&
Linear Time Invariant (LTI)
processes.
Models can be given in other forms:
Transfer functions descriptions
and graphical forms, etc
Electric Circuits:
Kirchhoff’s current law (KCL)
Kirchhoff’s voltage law (KVL)
Models of Electric Circuits
Kirchhoff’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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