Design of fractional-order controller for fractional-order systems using Bode´s ideal loop transfer function method

Fractional-order models have been found to provide a more realistic and compact representation to real world and man-made systems. On the other side, fractional-order controllers have proved their efficacy over the conventional integer-order controllers by providing more flexibility in the design as well as by guaranteeing a more robust closed-loop configuration. In this paper, Bode´s ideal loop transfer function method is used to design fractional-order controllers for fractional-order plants. To prove the efficacy of the designed method, the design methodology is tested for stable and unstable fractional-order plants. From the simulation results obtained, it is observed that with the designed controller the closed-loop response of the system is improved and is more robust.