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Annotation of OpenXM_contrib/gnuplot/demo/controls.dem, Revision 1.1

1.1     ! maekawa     1: #
        !             2: # $Id: controls.dem,v 1.2 1993/09/27 17:11:18 alex Exp $
        !             3: #
        !             4: # warning:  this demo is SLOW on PCs without math coprocessors!
        !             5: #
        !             6: # From _Automatic_Control_Systems_, fourth ed., figure 6-14
        !             7: # transient response of a second-order system to a unit step input function
        !             8: #
        !             9: damp(t) = exp(-s*wn*t)/sqrt(1.0-s*s)
        !            10: per(t) = sin(wn*sqrt(1.0-s**2)*t - atan(-sqrt(1.0-s**2)/s))
        !            11: c(t) = 1-damp(t)*per(t)
        !            12: #
        !            13: #      wn is natural undamped frequency
        !            14: #      s is damping factor
        !            15: #
        !            16: wn = 1.0
        !            17: set xrange [0:13]
        !            18: set samples 50
        !            19: set dummy t
        !            20: #
        !            21: # plot c(t) for several different damping factors s
        !            22: #
        !            23: 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)
        !            24: pause -1 "Hit return to continue"
        !            25:
        !            26: # undo what we have done
        !            27: set xrange [-10:10]
        !            28: set autoscale xy
        !            29: set samples 160
        !            30: set dummy x
        !            31: