Control Systems/Physical Models

Physical Models

This page will serve as a refresher for various different engineering disciplines on how physical devices are modeled. Models will be displayed in both time-domain and Laplace-domain input/output characteristics. The only information that is going to be displayed here will be the ones that are contributed by knowledgable contributors.

Electrical Systems

Component	Time-Domain	Laplace	Fourier
Resistor	R	R	R
Capacitor	$i=C\frac{dv}{dt}$	$G(s)=\frac{1}{sC}$	$G(j\omega )=\frac{1}{j\omega C}$
Inductor	$v=L\frac{di}{dt}$	$G(s)=sL$	$G(j\omega )=j\omega L$