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Table 1 The output results of system simulation

From: Optimization of PID parameters with an improved simplex PSO

T

\(\boldsymbol {X_{1}}\)

\(\boldsymbol {X_{5}}\)

0.1

0.1101215

9.8898785

0.2

0.8970125

9.1029875

0.3

3.8164750

6.1835250

0.4

5.1986732

4.8013268

0.5

7.9087764

2.0912236

0.6

8.8758920

1.1241080

0.7

9.8284680

0.1715320

0.8

10.0175180

−0.0175180

0.9

10.1256500

−0.1256500

1.0

10.0345000

−0.0345000

1.1

10.0186500

−0.0186500

1.2

10.0100411

−0.0100411

1.3

9.9952210

0.0047790

1.4

9.9598610

0.0401390

1.5

9.9496476

0.0503524

1.6

9.9883500

0.0116500

1.7

9.9981210

0.001879

1.8

10.0118

−0.011816

1.9

10.0103

−0.010275

2.0

10.0124

−0.012357

2.1

10.0176

−0.017586

2.2

10.0183

−0.018272

2.3

10.0145

−0.014451

2.4

10.0133

−0.013263

2.5

10.0131

−0.013063

2.6

10.0126

−0.012556

2.7

10.0115

−0.011496

2.8

10.0084

−0.008376

2.9

10.0072

−0.007192

3.0

10.0061

−0.006071