A three-dimensional cam for generating a function of two variables is shown in Figure DP5.7(a). Both x and y may be controlled using a position control system [31].The control of x may be achieved with a DC motor and position feedback of the form shown in Figure DP5.7(b), with the DC motor and load represented by
G(s) = K / s(s + p)(s + 4).
where K = 2 and p = 2. Design a proportional plus derivative controller
Gc(S) = Kp + KDs
to achieve a percent overshoot P.O. ‰¤ 5% to a unit step input and a settling time Ts ‰¤ 2 seconds
Figure DP5.7
(a) Three-dimensional Cam and (b) x-axis control system.

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