Experimental study of fractional order proportional derivative controller synthesis for fractional order systems

In recent years, studies on real systems have revealed inherent fractional order dynamic behavior, and fractional order systems have attracted more and more attentions. It is intuitively true that these fractional order models require the corresponding fractional order controllers to achieve desired performance. In this paper, an experimental study of the fractional order proportional and derivative (FO-PD) controller systematic design is presented, to validate the control performance for the fractional order systems with generalized fractional capacitor membrane model. The performance of the designed FO-PD controller is compared with both the integer order and fractional order controllers which are designed based on the approximate integer order system. This comparison results are presented both in the simulation and the hardware-in-the-loop experiment.

Research highlights
► Simulation illustration of the performance comparison between the designed FO-PD controller based on the fractional order system and the designed integer/fractional order controllers based on the approximate integer order system.
► Hardware-in-the-loop experimental validation of the simulation results for the designed FO-PD controller.
► Further experimental tests for the small unit step high precision responses.