Ramp to Step Input Optimal Control.

Cuthbert Nyack
Applet shows the step response of a a second order system with transfer function and input shown on the applet.
With Fixed K and variable "wid" Some examples are:-

(3.0, 1.0, 1.0, 2.82) 1.929433
(4.0, 1.0, 1.0, 2.82) 1.788065
(5.0, 1.0, 1.0, 2.72) 1.687773
(5.0, 0.5, 1.0, 2.14) 1.491190
(5.0, 1.5, 1.0, 3.2) 1.862227

Varying K and "wid" gives a minimum at large K:-
(49.9, 0.5, 1.0, 1.94) 1.281807




Gif image below shows how applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.