Question

Consider the system shown in Fig. 4.54 with PI control. (a) Determine the transfer function from R to Y. (b) Determine the transfer function from W to Y. (c) Under what conditions on ($k_p$, $k_I$) is the closed-loop system is stable? (d) What are the system types and error constants with respect to reference input and with respect to disturbance rejection?

          Consider the system shown in Fig. 4.54 with PI control.
(a) Determine the transfer function from R to Y.
(b) Determine the transfer function from W to Y.
(c) Under what conditions on ($k_p$, $k_I$) is the closed-loop system is stable?
(d) What are the system types and error constants with respect to
reference input and with respect to disturbance rejection?

Consider the system shown in Fig. 4.54 with PI control.
(a) Determine the transfer function from R to Y.
(b) Determine the transfer function from W to Y.
(c) Under what conditions on (kp, kI) is the closed-loop system is stable?
(d) What are the system types and error constants with respect to
reference input and with respect to disturbance rejection?

Added by Julie T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Babita Kumari

Step 1

The transfer function of the PI controller is given by: Gc(s) = kp + k1/s The transfer function of the plant is given as: Gp(s) = 1/(s^2 + 2s + 15) The transfer function from R to Y can be found by multiplying the transfer functions of the controller and the Show more…

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Consider the system shown in Fig. 4.54 with PI control. (a) Determine the transfer function from R to Y. (b) Determine the transfer function from W to Y. (c) Under what conditions on (kp, k1) is the closed-loop system stable? Reference input and with respect to disturbance rejection? M O E kps + k1 S U 15 R O > s^2 + 2s + 15