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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
resulting in sustained oscillations from 0 to 2 when K ¼1. The differential equation of the unforced
system is
d
2
dt
2
y(t) þ v
2
n
y(t) ¼ 0 (2:28)
and the natural response resulting from the presence of initial conditions is that of harmonic motion,
that is, sustained oscillations about zero at a frequency of v
n
rad=s.
Except for the case when z ¼0, the unit step response approaches the limiting or steady-state
value y(1) ¼K, which means that K is the DC or steady-state gain of the second-order system in
Equation 2.16. The parameter z, which determines the existence and extent of the oscillations as
well as the duration of the transient response, is called ...
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Publisher Resources

ISBN: 9781439836736