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- # control.plt
-
- paper size 11 by 8.5
-
- #
- # 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*s)*t - atan(-sqrt(1.0-s*s)/s))
- c(t) = 1-damp(t)*per(t)
- #
- # wn is natural undamped frequency
- # s is damping factor
- #
- wn = 1.0
- map x 0 14
- divi x 7,2
- sampling 50
- dummy t
- #
- # plot c(t) for several different damping factors s
- #
- color lred
- 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)
- color green
- format x 0
- draw x y
- xlabel 'time'
- ylabel 'response'
- frame
-
- font 3
- char size 0.2 slant 10
- color lblue
- title 'TRANSIENT RESPONSE OF A SECOND-ORDER SYSTEM'
- title 'Plotting Several Functions with one Plot Command'