Table 1 Control parameters of the proposed MPPT Controllers.

From: Enhanced adaptive control techniques for extracting maximum power from photovoltaic system

Controller

Optimized parameters

Optimization/Update Method

Final Values

PID (MRFO)

\(\:{K}_{p},{\:K}_{i},{\:K}_{d}\)

MRFO (20 population, 100 iterations)

\(\:{\text{K}}_{\text{p}}\)= 2.1956, \(\:{\text{K}}_{\text{i}}\)= 0.7183, \(\:{\:\text{K}}_{\text{d}}\)​= 0.0012

Adaptive PI (API)

\(\:{C}_{1},\:\:{C}_{2}\:,\:\) \(\:{C}_{3}\), \(\:{K}_{p},{\:K}_{i}\)

MRFO-optimized constants + Online Update gains

\(\:{\text{C}}_{1}\)=4.3290, \(\:{\text{C}}_{2}\)​=0.6507, \(\:{\text{C}}_{3}\)​=0.0813, adaptive update for \(\:{\text{K}}_{\text{p}},{\:\text{K}}_{\text{i}}\) with Eqs. (68)

SP-API

\(\:K,\:\:{g}_{1}\:,\:\) \(\:{g}_{2}\)

MRFO tuning + perceptron update laws

K = 457.5693, learning weights updated using Eqs. (1417)

SMAPA

\(\:{K}_{p},{\:K}_{i}\)

SMAPA-based online adaptation

Initialized to small positive values; updated using Eqs. (18–123)