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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
The closed-loop control system is unstable if u
T
(t) ¼L
1
{U
T
(s)} is ever in phase with e(t)
and its ampl itude is greater than one. When this occurs, the error signal propagates around the loop
and increases in magnitude while doing so. Conversely, when e(t) and u
T
(t) are in phase and
ju
T
(t)j¼ju
T
(t)j< 1, a stable system results. Finally, a marginally stable system exists when e(t)
and u
T
(t) are in phase and ju
T
(t)j¼ju
T
(t)1.
Since the negative sign in u
T
(t) is equivalent to 1808 phase shift, u
T
(t) will be in phase with
e(t) whenever u
T
(t) lags e(t)by1808, that is, there is a combined total of 1808 phase lag in the
open-loop system. The
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Publisher Resources

ISBN: 9781439836736