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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