Admissible region for pole positioning with optimal regulators

Author

Fujinaka, Toru ; Shibata, Hiroshi

Author_Institution

Coll. of Eng., Osaka Prefecture Univ., Japan

Volume

4

fYear

1996

fDate

11-13 Dec 1996

Firstpage

3631

Abstract

A method of pole positioning using linear quadratic regulators is examined, and the admissible region of optimal closed-loop poles is determined. The design method employs successive shifting of either a single real pole or a pair of complex conjugate poles at a time. The result clarifies admissible region for both real and complex poles, and also leads to a specific design procedure. The characteristic polynomial of a Hamilton matrix associated with the regulator problem plays a key role in deriving the result

Keywords

closed loop systems; control system synthesis; linear quadratic control; matrix algebra; pole assignment; polynomials; Hamilton matrix; LQ control; admissible region; characteristic polynomial; complex conjugate poles; linear quadratic regulators; optimal closed-loop poles; optimal regulators; pole positioning; real poles; Control systems; Design methodology; Educational institutions; Eigenvalues and eigenfunctions; Feedback; Observability; Polynomials; Regulators; Robust stability; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.577178

Filename

577178