Question 3 Page (213) As a Research Associate in the newly established Robotics Research Group at The Copperbelt University, you are presented with the following step-response plot obtained empirically in the robotics laboratory. i. ii. Response 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0 5 10 15 20 20 Time (seconds) 25 25 Figure 4. System step response Determine the system's transfer function. [4 Marks] Determine the value of gain that can be cascaded with the above system when implemented as a unity feedback first-order mechanism to realise a response that settles at the reference value after 1 second when a unit step input is [8 Marks] applied.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
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Question 3
Page (213)
As a Research Associate in the newly established Robotics Research Group at The
Copperbelt University, you are presented with the following step-response plot obtained
empirically in the robotics laboratory.
i.
ii.
Response
1.4
1.2
1.0
0.8
0.6
0.4
0.2
0
5
10
15
20
20
Time (seconds)
25
25
Figure 4. System step response
Determine the system's transfer function.
[4 Marks]
Determine the value of gain that can be cascaded with the above system when
implemented as a unity feedback first-order mechanism to realise a response
that settles at the reference value after 1 second when a unit step input is
[8 Marks]
applied.
Transcribed Image Text:Question 3 Page (213) As a Research Associate in the newly established Robotics Research Group at The Copperbelt University, you are presented with the following step-response plot obtained empirically in the robotics laboratory. i. ii. Response 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0 5 10 15 20 20 Time (seconds) 25 25 Figure 4. System step response Determine the system's transfer function. [4 Marks] Determine the value of gain that can be cascaded with the above system when implemented as a unity feedback first-order mechanism to realise a response that settles at the reference value after 1 second when a unit step input is [8 Marks] applied.
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