(A): Convert the following transfer function to state space representation. C(s) 70 R(s) 10s³ +40s² + 20s + 30 (Th 7siala Minhals mothed to design a PID controller to control
(A): Convert the following transfer function to state space representation. C(s) 70 R(s) 10s³ +40s² + 20s + 30 (Th 7siala Minhals mothed to design a PID controller to control
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![(A): Convert the following transfer function to state space representation.
C(s)
70
R(S) 10s³ + 40s² + 20s + 30
(B): Use Zeigler-Nichols Close Loop Resonance method to design a PID controller to control
the position of a DC motor if you know that L-0.5, R-1, b-0.1, J-0.01, k-0.01. You
may use table (1).
0(s)
k
V(s) [Js + b) + (Ls + R) + k²]s
(C): If you know that the phase crossover frequency is 3.16 (rad/s) for the following transfer
function, find the gain margin value (in dB).
25
G(s) =
s (s + 1)(s + 10)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5704e6e8-eba6-4c4e-8fcf-6bb46bf8f53a%2Fa9c1d951-ef9e-44b5-b26f-c6deea5f7680%2Fbeob5o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(A): Convert the following transfer function to state space representation.
C(s)
70
R(S) 10s³ + 40s² + 20s + 30
(B): Use Zeigler-Nichols Close Loop Resonance method to design a PID controller to control
the position of a DC motor if you know that L-0.5, R-1, b-0.1, J-0.01, k-0.01. You
may use table (1).
0(s)
k
V(s) [Js + b) + (Ls + R) + k²]s
(C): If you know that the phase crossover frequency is 3.16 (rad/s) for the following transfer
function, find the gain margin value (in dB).
25
G(s) =
s (s + 1)(s + 10)
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