(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 controlthe position of a DC motor if you know that L=0.5, R-1, b-0.1, J-0.01, k-0.01. Youmay use table (1).0(s)kV (s) [(Js + b) + (Ls + R) + k²]s(C): If you know that the phase crossover frequency is 3.16 (rad/s) for the following transferfunction, find the gain margin value (in dB).25G(s) =s (s + 1)(s + 10)

Since you have posted the multiple questions so we are supposed to answer the 1st one.

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(A): Convert the following transfer function to state space representation. C(s) 70 R(s) 10s3 +40s² + 20s + 30 DID

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

(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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