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

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

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)

where = 2 and = 2. Design a proportional plus derivative controller

G s c p ( ) = + K KD

to achieve a percent overshoot P O. . ≤ 5% to a unit step input and a settling time T≤ 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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