2 Step Input Optimal Control.
Cuthbert Nyack
This applet shows the response to a modified step input. With K fixed ht and wid are adjusted to give an acceptable step response. Then wid
is varied to get a minimum J. Some cases are given below:-
(3.0, 1.0, 1.0, 1.92, 0.72) 1.279267
(4.0, 1.0, 1.0, 1.64, 0.69) 1.303315
(5.0, 1.0, 1.0, 1.46, 0.68) 1.361515
(6.0, 1.0, 1.0, 1.34, 0.66) 1.394961
(6.0, 0.5, 1.0, 0.96, 0.72) 1.625266
(6.0, 1.5, 1.0, 1.62, 0.63) 1.326888
Varying K, wid and ht to obtain a minimum J yields an unsatisfactory
step response eg (4.1, 1.0, 1.0, 1.6, 0.59) 1.228032
Varying K, wid and ht to obtain a minimum J yields an unsatisfactory
step response eg (4.1, 1.0, 1.0, 1.6, 0.59) 1.228032
Reducing m does a little better eg (22.0, 1.0, 0.1, 0.7, 0.56) 0.411087
Gif image below shows how applet should appear.
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COPYRIGHT © 2006 Cuthbert Nyack.