 #
# warning: this demo is SLOW on PCs without math coprocessors!
#
# From _Automatic_Control_Systems_, fourth ed., figure 614
# transient response of a secondorder system to a unit step input function
#
damp(t) = exp(s*wn*t)/sqrt(1.0s*s)
per(t) = sin(wn*sqrt(1.0s**2)*t  atan(sqrt(1.0s**2)/s))
c(t) = 1damp(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
set key box
#
# 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)
Click here for minimal script to generate this plot
