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Theory and Modern Applications

Table 1 FOPID controller gain values optimized with GA

From: FPGA implementation of adaptive sliding mode control and genetically optimized PID control for fractional-order induction motor system with uncertain load

FOPID controller

\(\boldsymbol {K_{P}}\)

\(\boldsymbol {K_{I}}\)

\(\boldsymbol {K_{D}}\)

\(u_{x_{1}}\)

0.0023

0.0128

0.0076

\(u_{x_{2}}\)

−0.0028

−0.0110

0.0052

\(u_{x_{3}}\)

1.29

0.98

2.02

\(u_{x_{4}}\)

0.065

0.106

0.045