PI Optimal Control.

Cuthbert Nyack
Quadratic optimal control for PI control can be examined by the following applet:-

For fixed K and variable Ti some examples are:-
Parameters (5.0, 1.0, 2.1, 1.0, 1.0), J = 1.140564, z = 0.7582
Parameters (7.5, 1.0, 2.4, 1.0, 1.0), J = 1.245243, z = 0.7958
Parameters (10.0, 1.0, 2.7, 1.0, 1.0), J = 1.330387, z = 0.8366

For varying K and Ti some examples are
(1.54, 1.0, 1.3, 1.0, 1.0) J = 0.986093, z = 0.6980 and closed loop poles at -0.615, -1.924.

(1.58, 0.5, 1.1, 1.0, 1.0) J = 1.011569, z = 0.9308 and closed loop poles at -0.634, -4.525.





Gif image below shows how applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.