Question

Problem 2 A closed-loop system with the plant being the dynamic system of Problem 1, and a PID compensator having the transfer function $D_c(s) = \frac{G_1 + G_2s + G_3s^2}{s}$ (a) Determine the transfer function $H(s)$ of the closed-loop system. (b) The \"nominal value\" of the sensor scale factor $c = 1$. For this value of $c$, the parameters $G_1, G_2, G_3$ are to be designed such that the closed loop poles are located at $s = -4, -1 + j, -1 - j$ Determine the values of the parameters $G_1, G_2, G_3$ for which the poles achieve these values.

          Problem 2
A closed-loop system with the plant being the dynamic system of Problem 1, and a PID compensator having
the transfer function
$D_c(s) = \frac{G_1 + G_2s + G_3s^2}{s}$
(a) Determine the transfer function $H(s)$ of the closed-loop system.
(b) The \"nominal value\" of the sensor scale factor $c = 1$. For this value of $c$, the parameters $G_1, G_2, G_3$ are
to be designed such that the closed loop poles are located at
$s = -4, -1 + j, -1 - j$
Determine the values of the parameters $G_1, G_2, G_3$ for which the poles achieve these values.

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Problem 2
A closed-loop system with the plant being the dynamic system of Problem 1, and a PID compensator having
the transfer function
Dc(s) = (G1 + G2s + G3s^2)/(s)
(a) Determine the transfer function H(s) of the closed-loop system.
(b) The n̈ominal valueöf the sensor scale factor c = 1. For this value of c, the parameters G1, G2, G3 are
to be designed such that the closed loop poles are located at
s = -4, -1 + j, -1 - j
Determine the values of the parameters G1, G2, G3 for which the poles achieve these values.

Added by Jean B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Deepak Jangra

Step 1

The transfer function of the closed-loop system is given by: H(s) = Gp(s) / (1 + Gc(s)Gp(s)) where Gp(s) is the transfer function of the plant and Gc(s) is the transfer function of the compensator. Show more…

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A closed-loop system with the plant being the dynamic system of Problem 1, and a PID compensator having the transfer function G1+G2+G3s^2 Dcs= (a) Determine the transfer function H(s) of the closed-loop system. b The nominal value of the sensor scale factor c=1. For this value of c, the parameters G1, G2, and G3 are to be designed such that the closed-loop poles are located at s=-4, s=-1+j, and s=-1-j. Determine the values of the parameters G1, G2, and G3 for which the poles achieve these values.

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