In this paper a new procedure that allows to define the parameters of fractional order PIλDμ controller, designed to stabilize a first-order plant with delay-time, is proposed. Using a version of the Hermite–Biehler theorem applicable to quasipolynomials, the complete set of stabilizing PIλDμ parameters is determined. The widespread industrial use of PID controllers and the potentiality of their non-integer order representation justifies a timely interest to PIλDμ tuning techniques.

New Results on the Synthesis of FO-PID Controllers

CAPONETTO, Riccardo;FORTUNA, Luigi;GALLO, Antonio
2010-01-01

Abstract

In this paper a new procedure that allows to define the parameters of fractional order PIλDμ controller, designed to stabilize a first-order plant with delay-time, is proposed. Using a version of the Hermite–Biehler theorem applicable to quasipolynomials, the complete set of stabilizing PIλDμ parameters is determined. The widespread industrial use of PID controllers and the potentiality of their non-integer order representation justifies a timely interest to PIλDμ tuning techniques.
2010
Fractional order PID; Delay system; PID tuning techniques
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/3726
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