Design a Proportional-plus-Derivative (PD) controller (determine the values of Kp and Ta) for a plant as shown in Figure 4 so that the damping ratio of the closed-loop system is (0.5 + 100) and the undamped natural frequency on is (0.5+) rad/sec. Q 100 R(s) kp(1 + Tas) a s(s+ b) C(s) Figure 4 In the plant transfer function, a = (120+Q) and b = (6+Q), where Q=2

use Q=2

Question

Design a Proportional-plus-Derivative (PD) controller (determine the values of Kp and Ta) for a plant as shown in Figure 4 so that the damping ratio of the closed-loop system is (0.5 + 100) and the undamped natural frequency on is (0.5+) rad/sec. Q 100 R(s) kp(1 + Tas) a s(s+ b) C(s) Figure 4 In the plant transfer function, a = (120+Q) and b = (6+Q), where Q=2

use Q=2

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Design a Proportional-plus-Derivative (PD) controller (determine the values of

K_{p}

and

T_{d}

) for a plant as shown in Figure 4 so that the damping ratio

ζ

of the closed-loop system is

(0.5 +

\frac{Q}{100})

and the undamped natural frequency

ω_{n}

is

(0.5 + \frac{Q}{100}) rad / sec

. In the plant transfer function,

a = (120 + Q)

and

b = (6 + Q)

, where

Q

is last digit of your student

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