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Table 4 The estimated parameters of two simulations for the PSO algorithm

From: A modified particle swarm optimization algorithm for parameter estimation of a biological system

True parameters

α i

g i1

g i2

g i3

g i4

β i

h i1

h i2

h i3

h i4

RMSE

PSO noise free measurement

0.4040

x 1

20.3569

0

0

−0.4444

0

10.3510

0.8602

0

0

0

x 2

8.3541

0.858

0

0

0

3.3464

0

1.1024

0

0

x 3

3.3513

0

1.1049

0

0

3.3478

0

0

0.8554

0.5437

x 4

2.3560

0.8419

0

0

0

6.3490

0

0

0

1.148

PSO noisy measurement with SNR 20

0.5160

x 1

16.0762

0

0

−0.3411

0

7.4571

0.9537

0

0

0

x 2

8.4461

1.9448

0

0

0

3.4396

0

1.1908

0

0

x 3

1.453

0

1.1971

0

0

3.4558

0

0

0.9496

0.6451

x 4

2.4434

0.9482

0

0

0

8.4386

0

0

0

1.2565