Dynamic pole placement and the connection to geometry

Author

Rosenthal, J. ; Ravi, M.S.

Author_Institution

Dept. of Math., Notre Dame Univ., IN, USA

fYear

1992

fDate

1992

Firstpage

179

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;

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.1992.371763

Filename

371763

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2418341