DocumentCode :
2846392
Title :
The matching coefficients PID controller
Author :
Hauksdottir, A.S. ; Sigurosson, S.P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Iceland, Reykjavik, Iceland
fYear :
2011
fDate :
June 29 2011-July 1 2011
Firstpage :
710
Lastpage :
715
Abstract :
The problem of designing a PID controller is posed in a setting where a selected reference system presents the design requirements. This leads to a simple problem of equating coefficients of like powers in polynomials originating in the reference system transfer function, the transfer function of the system to be controlled as well as the PID coefficients. Effectively, an overdetermined system of equations in the PID coefficients results, which is solved in the minimum least squares sense. We refer to this controller as the Matching Coefficients PID (MC PID). The computation is very simple involving only basic high school mathematics. While there is no explicit criterion for a selection of a reference system that will guarantee closed loop stability, systematic approaches can be designed for modifying the reference system in these cases.
Keywords :
closed loop systems; control system synthesis; least squares approximations; polynomials; stability; three-term control; transfer functions; MC PID; PID coefficients; PID controller design; closed loop stability; design requirements; high school mathematics; matching coefficients PID controller; minimum least squares sense; overdetermined system of equations; polynomials; reference system transfer function; Argon; Closed loop systems; MIMO; Poles and zeros; Polynomials;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
ISSN :
0743-1619
Print_ISBN :
978-1-4577-0080-4
Type :
conf
DOI :
10.1109/ACC.2011.5990764
Filename :
5990764
Link To Document :
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