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4
actual position
desired position
2
0
−2
−4
0
50
100
150
200
250
300
0.04
0.02
0
−0.02
0
50
100
150
200
250
300
time (second)
Fig. 4 Results of proposed controller in first disturbance test
3
actual position
desired position
2
1
0
−1
−2
0
50
100
150
200
250
300
0.04
0.02
0
−0.02
0
50
100
150
200
250
300
time (second)
Fig. 5 Results of proposed controller in second disturbance test
Ta b l e 1 Evaluation measures without disturbance
Controller
IAE p
IAE a
IACF
IADCF
Proposed controller
2.16
0.28
7.74
6.91
Double PID
2.73
0.39
11.02
11.81
Ta b l e 2 Evaluation measures of first disturbance test
Controller
IAE p
IAE a
IACF
IADCF
μ
σ
μ
σ
μ
σ
μ
σ
Proposed controller
5.73
0.71
0.38
0.11
55.18
2.02
94.08
5.96
Double PID
14.91
3.26
1.96
0.40
73.60
2.96
126.03
5.83
than basic controller is found in time 100.2 and the optimization is continued to
217.4. In the second disturbance test a random voltage produced by a Gaussain
distribution with zero mean and 0.05 of variance is applied to desired cart position
in optimization phase. The better candidate solution for stress generation is found in
100.2 as same as previous test, and the optimization is continued to 217.4 too. As it
 
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