Table 4 FOPID controller gains for frequency regulation of \(\hat{G_{Dz\mu G}(s)}\) Model.

From: Bayat-driven FOPID controller design for biogas-based microgrid with real-time validation

Gains

FOPID-\(Bayat_{SP1.4}\)

FOPID-\(Bayat_{SP2.0}\)

FOPID-\(Bayat_{LD1.4}\)

\(K_p\)

1.5596

2.9959

1.4967

\(T_i\)

0.8717

0.4651

0.9488

\(T_d\)

0.1012

0.1022

0.0853

\(\lambda\)

1

1

1

\(\mu\)

1.0850

1.2154

1.0767