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Homework Transient Response Analysis

This homework assignment for an automatic control class contains three problems analyzing the steady-state and transient responses of different transfer functions. Problem 9 has students determine the dominant poles of four transfer functions and identify which leads to undershoot and overshoot in the step response. Problem 10 involves determining the ramp response and writing the steady-state and transient responses of a given transfer function. Problem 11 asks students to analyze a step response measurement and determine relevant performance parameters like rise time and settling time.

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Khafidz Ahmad
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324 views1 page

Homework Transient Response Analysis

This homework assignment for an automatic control class contains three problems analyzing the steady-state and transient responses of different transfer functions. Problem 9 has students determine the dominant poles of four transfer functions and identify which leads to undershoot and overshoot in the step response. Problem 10 involves determining the ramp response and writing the steady-state and transient responses of a given transfer function. Problem 11 asks students to analyze a step response measurement and determine relevant performance parameters like rise time and settling time.

Uploaded by

Khafidz Ahmad
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Homework 5 for ECE 488: Automatic Control (Schmidt)

Spring 2012

Homework 5: Steady-State and Transient Response


Note: This homework assignment is due on Thursday 22.03.2012, 15:40.
Problem 9:
We are given the following transfer functions
s+8
(s 3)(s + 200)
s+2
G4 (s) =
(s + 10)(s + 20)

(s + 3.5)(s + 4)
(s + 3)(s + 10)
s4
G3 (s) =
(s + 4)(s2 + 3s + 3)

G2 (s) =

G1 (s) =

a. Determine the dominant pole for each of the transfer functions. Justify your choice in
each case!
b. Which of the transfer functions leads to undershoot in the step response?
c. Which of the transfer functions leads to overshoot in the step response?

Problem 10:
We are given the transfer function G(s) =

2
1 + 4s

a. Determine the ramp response of G(s)


b. Write down the steady-state response yss (t) and the transient response ytr (t)

Problem 11:

output y

The following measurement of a step response is given. Determine the relevant performance
parameters.

200
190
180
170
160
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0
0

2
time [sec]

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