Using fractional-order PIλ Dμ controller to control three-phase parallel pulses width modulation (PWM) rectifier

The control systems typically use the conventional PID (Proportional, Integral, Derivative) controller to control the direct current (DC) voltage [1]. The obtained control results are relatively well when PID controller is applied, but the design parameters are not absolutely precise and sensitive to the changes of system parameters. The PID controller is used to control the frequency of three-phase PWM (parallel pulses width modulation) inverter, but the overshot values of output voltage are often too high, so the selection of the controller parameters is difficult. This paper proposes the use of fractional-order PI^λ D^μ controller instead of using the conventional PID controller. When using the fractional-order PI^λ D^μ controller, the quality control of the system becomes much easier and brings efficient results superior in using conventional PID controller. The results of this paper are clearly shown in the simulation results of the system.