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3. A block diagram representation of a control system is given c(s) H R(S) a) Compute the closed loop transfer function b) Find the natural frequency Wn s(8+3) C) Find the damping ratio

3. A block diagram representation of a control system is given c(s) H R(S) a) Compute the closed loop transfer function b) Find the natural frequency Wn s(8+3) C) Find the damping ratio

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please answer a, b, and c with details on how to do it. Thank you. 

3. A block diagram representation of a control system is given below R(s) a) Compute the closed loop transfer function b) Find the natural frequency Wn 5 s(s+3) C) Find the damping ratio C(s)
Transcribed Image Text:3. A block diagram representation of a control system is given below R(s) a) Compute the closed loop transfer function b) Find the natural frequency Wn 5 s(s+3) C) Find the damping ratio C(s)
d) Calculate the peak time (Tp), and settling time (Ts) for 2% of final value. e) Determine the value of percent overshoot (%OS). f) Based on the value of the system is a) Underdamped b) overdamped c) undamped d) critically damped
Transcribed Image Text:d) Calculate the peak time (Tp), and settling time (Ts) for 2% of final value. e) Determine the value of percent overshoot (%OS). f) Based on the value of the system is a) Underdamped b) overdamped c) undamped d) critically damped
Expert Solution
Step 1

Transfer function is define as ratio of Laplace transform of output to the Laplace transform of input with all initial condition zero.

Block diagram is pictorial representation of a system.

The block diagram of control system show unilateral property.

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