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Table 1 Optimal values for normalizing gains of the three tuning cases

From: Type-2 fuzzy self-tuning of modified fractional-order PID based on Takagi–Sugeno method

Case kp, ki, kd, λ and μ

Case kp, ki and kd

Case λ and μ

Normalizing gains

0.09

1

10

Ke

0.03

1

30

Kde