A fractional calculus perspective of PID tuning

Barbosa, Ramiro; Tenreiro Machado, J. A.; Ferreira, Isabel M.

http://hdl.handle.net/10400.22/13306

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Authors

Barbosa, Ramiro

Tenreiro Machado, J. A.

Ferreira, Isabel M.

Abstract(s)

This paper gives an interpretation of the classical PID controller tuning based on the fractional calculus theory. The PID parameters are calculated according with the specifications of an elementary system whose open-loop transfer function is a fractional order integrator (FOI). The performances of the two systems are compared and illustrated through the frequency and time responses.