Geometric characterizations of the fixed poles for some control problems

Author

Malabre, Michel ; García, Juan Carlos Martínez ; Del Muro Cuellar, Basilio

Author_Institution

Inst. de Recherche en Cybern. de Nantes, France

Volume

3

fYear

1998

fDate

1998

Firstpage

3533

Abstract

The aim of the paper is to present some geometric characterizations for the fixed poles of some control problems and to enhance a major property of some particular invariant subspaces (self-bounded controlled invariants and self-hidden conditioned invariants) associated with the disturbance rejection by state or dynamic measurement feedback, the decoupling problem by (regular) state feedback and the simultaneous decoupling and disturbance rejection problem by (regular) state feedback. Such particular invariant subspaces are indeed the geometric supports for the construction of optimal solutions in the sense of maximal pole placement abilities

Keywords

invariance; linear systems; pole assignment; state feedback; decoupling problem; disturbance rejection; fixed poles; geometric characterizations; invariant subspaces; maximal pole placement abilities; self-bounded controlled invariants; self-hidden conditioned invariants; Automatic control; Books; Control systems; Controllability; Kernel; Linear systems; Output feedback; Particle measurements; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.758255

Filename

758255