Question: DP5.7 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
DP5.7 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

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where K = 2 and p = 2. Design a proportional plus derivative controller
G s c p ( ) = + K KDs
to achieve a percent overshoot P O. . ≤ 5% to a unit step input and a settling time Ts ≤ 2 s.
FIGURE DP5.7 (a) Three- dimensional cam and (b) x-axis control system. x; yo (a) R(s) G(s) G(s) Y(s) (b)
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