Fractional-order PID control design method based on phase margin and cutoff frequency
A technology of cut-off frequency and phase margin, which is applied to controllers with specific characteristics, electric controllers, etc.
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[0097] Aiming at the temperature control system of medium frequency induction furnace, this paper designs a fractional-order PID controller based on the principles of internal model control, fractional-order calculus, and PID control, and based on the phase margin φ of the control system m and the cutoff frequency ω c , to tune the controller parameters, this method can improve the dynamic performance of the control system while ensuring the robustness of the system.
[0098] The design of the fractional order PID controller, the internal model control system structure diagram is as follows figure 1 As shown, where Q(s) is the internal model controller, P(s) is the controlled process, M(s) is the process model, D(s) is the disturbance, R(s) and Y(s) are the control system input and output.
[0099] First, the process model is decomposed into reversible and irreversible parts, where M + (s) is the irreversible part, M _ (s) is the reversible part, namely
[0100] M(s)=M +...
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