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    Types: TextFile
    Names: »controls.demo«

└─⟦a0efdde77⟧ Bits:30001252 EUUGD11 Tape, 1987 Spring Conference Helsinki
    └─ ⟦this⟧ »EUUGD11/euug-87hel/sec1/gnuplot/controls.demo« 

TextFile

#
# warning:  this demo is SLOW on PCs without math coprocessors!
#
# From _Automatic_Control_Systems_, fourth ed., figure 6-14
# transient response of a second-order system to a unit step input function
#
damp(t) = exp(-s*wn*t)/sqrt(1.0-s*s)
per(t) = sin(wn*sqrt(1.0-s**2)*t - atan(-sqrt(1.0-s**2)/s))
c(t) = 1-damp(t)*per(t)
#
#	wn is natural undamped frequency
#	s is damping factor
#
wn = 1.0
set xrange [0:13]
set samples 50
set dummy t
#
# plot c(t) for several different damping factors s
#
plot s=.1,c(t),s=.3,c(t),s=.5,c(t),s=.7,c(t),s=.9,c(t),s=1.0,c(t),s=1.5,c(t),s=2.0,c(t)
set dummy x