Table 1 Optimized PI controller parameters tuned by SCHO, SSA, WOA and FA.

From: Novel application of sinh cosh optimizer for robust controller design in hybrid photovoltaic-thermal power systems

Method

\({k}_{p1}\)

\({k}_{i1}\)

\({k}_{p2}\)

\({k}_{i2}\)

SCHO-based PI (proposed)

 − 0.4758

 − 0.0931

 − 2

 − 0.9339

SSA-based PI

 − 0.7715

 − 0.0483

 − 1.0837

 − 0.8929

WOA-based PI

 − 0.4563

 − 0.2254

 − 0.8967

 − 0.9865

FA-based PI

 − 0.8811

 − 0.5765

 − 0.7626

 − 0.8307