Fractional PID controller design based regional pole index

Fractional PID controller has a superior performance. So it is of great significance to design fractional order PID controller. In this paper, a method based on the design constraints under regional pole index is proposed to design the fractional order PID controller. First, According to the D-Partition principle, the parameter stability domain could be obtained. Second the parameter solution can be get under the regional pole index. Then the parameters solution of PI
^λ
D
^μ
controller, which meets the regional pole index, can be obtained through the combination of the two parameters solution above. Finally, the simulation result shows that the solution program is effective and feasible.