Title :
Pole placement via PI controllers: necessary and sufficient conditions
Author :
Leventides, John ; Karcanias, Nicos
Author_Institution :
Control Eng. Centre, City Univ., London, UK
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;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371766
