Design of A New Fractional Order PIλ-PDμ Controller for Fractional Order System Based on BFGS Algorithm

A new fractional order PI lambda-PD mu controller is proposed for fractional order plant in this paper, which is a six-parameter controller with special structure. The PI lambda part and PD mu part of the controller are separate placed in forward channel and internal feedback loop. The PD mu feedback is used to change the poles of the plant transfer function to more desirable locations for control by a PI lambda controller. With ITAE as the objective function, the six parameters of fractional order PI lambda-PD mu controller could be obtained through BFGS optimization algorithm. Simulation results show that fractional order PI lambda-PD mu controller has good anti - jamming performance, and can well restrain the overshoot of the fractional order system.