# set terminal pngcairo  background "#ffffff" enhanced font "arial,10" fontscale 1.0 size 600, 400 
# set output 'controls.1.png'
set dummy t,y
set key inside right top vertical Right noreverse enhanced autotitles box linetype -1 linewidth 1.000
set samples 50, 50
set style data lines
set xrange [ 0.00000 : 13.0000 ] noreverse nowriteback
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)
s = 2.0
wn = 1.0
GPFUN_damp = "damp(t) = exp(-s*wn*t)/sqrt(1.0-s*s)"
GPFUN_per = "per(t) = sin(wn*sqrt(1.0-s**2)*t - atan(-sqrt(1.0-s**2)/s))"
GPFUN_c = "c(t) = 1-damp(t)*per(t)"
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)