Pole placement via PI controllers: necessary and sufficient conditions

Author

Leventides, John ; Karcanias, Nicos

Author_Institution

Control Eng. Centre, City Univ., London, UK

fYear

1992

fDate

1992

Firstpage

161

Abstract

The problem of pole assignment by PI (proportional plus integral) controllers (precompensation or feedback compensation) is studied using a transfer function approach. The PI-determinantal assignment problem (PI-DAP) is formulated as a unifying formulation of all PI-pole assignment problems. Necessary and sufficient conditions are derived for the existence of complex and real regular (bounded gain) PI feedback controllers. The derived conditions guarantee the existence of regular controllers, but they do not determine the McMillan degree of the resulting PI controller, except as an upper bound

Keywords

compensation; control system analysis; feedback; poles and zeros; transfer functions; two-term control; McMillan degree; PI controllers; PI-determinantal assignment problem; PI-pole assignment problems; feedback compensation; feedback controllers; pole assignment; pole placement; precompensation; proportional-integral control; transfer function; Adaptive control; Control engineering; Control systems; Digital audio players; Output feedback; Pi control; Polynomials; Proportional control; State feedback; Steady-state; Sufficient conditions; Transfer functions; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371766

Filename

371766