On the use of inversion formulae for the synthesis of discrete PID controllers

Author

Cuoghi, Stefania ; Ntogramatzidis, Lorenzo

Author_Institution

Tech. Sch. "E. Fermi", Modena, Italy

fYear

2013

fDate

25-28 June 2013

Firstpage

671

Lastpage

676

Abstract

This paper presents a new set of formulae for the design of discrete proportional-integral-derivative (PID) controllers under requirements on steady-state performance and robustness specifications, such as the phase and the gain margins, as well as the gain crossover frequency. The proposed technique has the advantage of avoiding trial-and-error procedures or approximations connected to an a posteriori discretisation. This method can also be implemented as a graphical design procedure in the Nyquist plane.

Keywords

control system synthesis; discrete systems; inverse problems; robust control; three-term control; Nyquist plane; a posteriori discretisation; discrete PID controllers synthesis; discrete proportional-integral-derivative controller; gain crossover frequency; gain margins; graphical design procedure; inversion formulae; phase margins; robustness specifications; steady-state performance; trial-and-error procedures; Equations; Frequency control; Frequency response; Gain; PD control; Steady-state; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control & Automation (MED), 2013 21st Mediterranean Conference on

Conference_Location

Chania

Print_ISBN

978-1-4799-0995-7

Type

conf

DOI

10.1109/MED.2013.6608795

Filename

6608795