Title :
Dynamic pole placement and the connection to geometry
Author :
Rosenthal, J. ; Ravi, M.S.
Author_Institution :
Dept. of Math., Notre Dame Univ., IN, USA
Abstract :
The pole-placement problem is formulated in terms of autoregressive systems. It is shown that the space of dynamic compensators with a fixed McMillan degree has the structure of a smooth compact manifold and that the pole-placement map can be reviewed as a central projection from the compensator space. Using techniques from algebraic geometry, the authors give necessary and sufficient conditions for the pole-placement map
Keywords :
compensation; control system analysis; poles and zeros; transfer functions; algebraic geometry; autoregressive systems; central projection; compensator space; dynamic compensators; dynamic pole placement; fixed McMillan degree; pole-placement problem; smooth compact manifold; Closed loop systems; Differential equations; Geometry; H infinity control; Linear systems; Mathematics; Polynomials; State feedback; Sufficient conditions;
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.1992.371763
