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;
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.File in questo prodotto:
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