Control Systems Homework Problem 3 The following plot is a step response of a sixth order system. 1. Find the time domain specifications i.e. Tp. Tri. T, and P.O. 2. Find a second order system whose response matches the given response in the following sense a. The percentage overshoot and rise time b. The peak time and settling time c. The rise time and settling time You have to find three systems
Control Systems Homework Problem 3 The following plot is a step response of a sixth order system. 1. Find the time domain specifications i.e. Tp. Tri. T, and P.O. 2. Find a second order system whose response matches the given response in the following sense a. The percentage overshoot and rise time b. The peak time and settling time c. The rise time and settling time You have to find three systems
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:The following plot is a step response of a sixth order system.
1. Find the time domain specifications i.e. Tp. Tri. T. and P.O.
2. Find a second order system whose response matches the given response in the following
sense
a. The percentage overshoot and rise time
b.
The peak time and settling time
c. The rise time and settling time
You have to find three systems
Aroude
1
14
13)
12
UP
E
ON
ST
06
0.5
DA
03
63
DI
0
6
A W .
-CA
P.O.= e √1-2
Ts=
4
ζωη
Satisfying 2% criteria
10
Control Systems
Homework Problem 3
100
M
16
18
20
Step Response
for
24 21 20 30
The
P.O.
-In (100)
√²+In² (²00)
Tr
Tp
2.16+0.60
On
0.3<≤0.8
Onv
T
1-32
and 10% to 90% value
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Step 1: Given and Required Information:
VIEWStep 2: Calculation of time domain specifications Tp, Tr, Ts , and P.O.
VIEWStep 3: Determination of a second order system whose response matches Tp and rise time.
VIEWStep 4: Determination of a second order system whose response matches rise time and settling time.
VIEWStep 5: Determination of a second order system whose response matches peak time and settling time.
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