Maiden application of fractional order PID plus second order derivative controller in automatic voltage regulator

Abstract

This paper proposes a maiden application of the fractional-order proportional-integral-derivative plus the second-order derivative controller called FOPIDD2 () to achieve better transient response at a terminal voltage of automatic voltage regulator (AVR). Multi-verse optimizer (MVO) algorithm is used for tuning six optimization parameters of controller. MVO is a powerful optimization algorithm with great convergence speed and strong search mechanisms for an expanded number of decisions. The proposed FOPIDD2 controller is compared with proportional-integral-derivative (PID), PID plus second-order derivative (PIDD2), fractional order PID (FOPID) and filtered FOPID controllers obtained using different algorithms in both time domain and frequency domain. According to the results, FOPIDD2 controller shows superior performance than compared studies in terms of transient response of terminal voltage of AVR. Additionally, frequency domain analysis shows that FOPIDD2 controller presents satisfactory results. Finally, the system is subjected to a robustness test with changes in time constants and gain constants values. AVR system with FOPIDD2 controller performs better in perturbed system parameters than compared controllers.