It is necessary to use the fractional order controller to improve control efficiency for the system with fractional characteristics. Therefore, a novel fractional order PI^λ-PD^μ controller is proposed. The forward channel of the system contains a fractional order PI^λ controller, and the feedback loop uses PD^μ controller. The method of sequential quadratic programming(SQP) is used to identify the parameters of the fractional order PI^\lambdaD^μ controller. The parameters of the fractional order PI^λ-PD^μ controller are acquired by using structure transformation method. Then, by using of integer order approximation and reducing order approach, the fractional system is solved with the oustaloup filter. The simulation results show that the dynamic performance and interference immunity of the fractional order PI^λ-PD^μ controller designed are better than the integer order PI-PD controller in the existing results.