The fractional-order PID controller outperforms the classical one
The three-parameter PID controller is the most popular industrial controller thanks to its simplicity. Only two more parameters arise after considering the integrator and derivator of arbitrary real order. Such a generalized controller is called fractional-order PID controller (FPID).
The three-parameter PID controller is the most popular industrial controller thanks to its simplicity. Only two more parameters arise after considering the integrator and derivator of arbitrary real order. Such a generalized controller is called fractional-order PID controller (FPID). Moreover, these two parameters (the order of integrator and derivator) still have a clear physical interpretation. This paper extends the results of the author's previous papers where the robustness regions method for traditional PID controller was discussed. The aim of this paper is to present a generalized robustness regions method for the FPID controller. The proposed procedure allows to define several frequency domain closed loop requirements simultaneously - gain and phase margins, limitations of sensitivity functions, proper bandwidth. The final example shows that the FPID controller ensures the fulfillment of stricter closed-loop requirements than the traditional PID. The authors believe that the FPID controller could be a suitable candidate for some specific industrial applications.
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