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Mathematical Problems in Engineering
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Mathematical Problems in Engineering
/
2013
/
Article
/
Tab 3
/
Research Article
Design of Optimal PID Controller with
-Routh Stability for Different Processes
Table 3
System performances of proposed method under different
ε
values (for plant.2).
Control matrix
Q
and
ε
value
Rise time
(sec)
Delay time
(sec)
Peak time
(sec)
Setting time
(sec)
Peak overshoot
(%)
Plants
Q
= diag (0.2 1 1 1) and
ε
= 0.5
1.15698
0.52966
0.86781
4.778
1.841
6.622
4.00
3.29
Plant.2
Q
= diag (0.2 1 1 1) and
ε
= 2.5
1.45019
0.62500
1.30523
4.201
1.655
6.451
7.20
5.41
Plant.2
Q
= diag (0.2 1 1 1) and
ε
= 3.0
1.79987
0.75000
1.78883
3.727
1.488
5.961
8.08
7.61
Plant.2
Q
= diag (0.2 1 1 1) and
ε
= 4.0
2.31710
1.00000
2.00000
3.151
1.316
4.201
7.35
11.00
Plant.2
Q
= diag (0.2 1 1 1) and
ε
= 5.0
2.46310
1.25000
1.00000
1.795
1.266
2.587
3.97
28.46
Plant.2