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

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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
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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