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    Length: 712 (0x2c8)
    Types: TextFile
    Names: »controls.demo«

└─⟦52210d11f⟧ Bits:30007239 EUUGD2: TeX 3 1992-12
    └─⟦63303ae94⟧ »unix3.14/TeX3.14.tar.Z« 
        └─⟦c58930e5c⟧ 
            └─⟦this⟧ »TeX3.14/TeXcontrib/gnuplot/demo/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)
pause -1 "Hit return to continue"

# undo what we have done
set xrange [-10:10]
set autoscale xy
set samples 160
set dummy x