Cosine to Step Input Optimal Control.

Cuthbert Nyack
This applet assumes a transfer function G(s) and input r(t) shown on the applet.
Fixing K and varying t some possible parameters are shown below:-
(10.0, 0.5, 1.0, 2.38) 1.639702
(10.0, 0.5, 2.0, 3.04) 2.160985
(20.0, 1.0, 1.0, 2.42) 1.625095
(16.0, 0.5, 1.4, 2.56) 1.779887

For the parameters:- (10.0, 0.5, 1.0, 2.38) 1.639702
Varying K as well as t leads to a reducing J for increasing K eg
(80.0, 0.5, 1.0, 1.92) 1.390336




Gif image below shows how applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.