Pole assignment with optimally conditioned eigenstructure

Author

Lam, James ; Yan, Wei-Yong

Author_Institution

Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

2008

Abstract

This paper presents a novel method for pole assignment with robustness measured in terms of the spectral condition number of the closed-loop eigenvector matrix. It is established that the spectral condition number can be minimized asymptotically via a sequence of unconstrained minimizations on some auxiliary objective functions. Moreover, the sequence of minimizers converges to a minimizer of the spectral condition number. A numerical algorithm with analytical formulas of the gradient of the auxiliary objective functions is provided. The efficiency and effectiveness of the approach is demonstrated via an example

Keywords

closed loop systems; eigenstructure assignment; matrix algebra; minimisation; pole assignment; robust control; asymptotic minimization; auxiliary objective function gradient; closed-loop eigenvector matrix; optimally conditioned eigenstructure; pole assignment; robustness; spectral condition number; unconstrained minimizations; Algorithm design and analysis; Control systems; Eigenvalues and eigenfunctions; Feedback loop; Mechanical engineering; Mechanical variables measurement; Optimal control; Robust control; Robustness; State feedback;

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.1996.572877

Filename

572877