Table 4 Crisp range and specifications of both inputs and output variables.

From: A hybrid fuzzy-PIDD² control strategy for coordinated LFC and AVR in renewable-integrated multi-area power systems

Fuzzy variable

Applied MF

Interval

Crisp ranges for

LN

SN

Z

SP

LP

Error

(E)

Triangle

[−0.1, 0.1]

[−0.12

−0.0805

−0.03835]

[−0.0791

−0.0384 0.000794]

[−0.0389

0

0.0389]

[0.00132 0.0415 0.0807]

[0.04047 0.0815

0.12]

Change of Error

(CE)

Triangle

[−1, 1]

[−1.2

−0.805

−0.4153]

[−0.791

−0.394

−0.0132]

[−0.399

0

0.3942]

[0.007938 0.421

0.802]

[0.41

0.805

1.2]

Output (O)

Triangle

[−0.2, 0.2]

[−0.24

−0.16

−0.0799]

[−0.1624

−0.0802

−0.01957]

[−0.07531 0.00871 0.08469]

[0.0291 0.0832 0.1604]

[0.07885 0.16

0.24]

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