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Henry gas solubility optimization (HGSO) algorithm is proposed for terminal voltage control of a generator in an automatic voltage regulator (AVR) system using a fractional order proportional-integral-derivative (FOPID) controller. The proposed technique was utilized for obtaining optimal parameters of FOPID by minimizing a time domain objective function. The box plot and convergence analyses were carried out in order to show the efficiency of the proposed approach. The performance of HGSO-based FOPID controller (HGSO-FOPID) compared with salp swarm algorithm based FOPID (SSA-FOPID) controller, stochastic fractal search algorithm based PID (SFS-PID) and improved kidney algorithm based PID (IKA-PID) controllers via transient and frequency response analyses. The simulation results have showed that the performance of the proposed HGSO-FOPID controller is better than SSA-FOPID, SFS-PID, and IKA-PID controllers.
Ekinci et al. (Mon,) studied this question.