Eigenvalue assignment optimization for stable and unstable systems

Author

Benton, Robert E. ; Smith, Dirk

Author_Institution

Dept. of Mech. Eng., Louisiana State Univ., Baton Rouge, LA, USA

fYear

1996

fDate

31 Mar-2 Apr 1996

Firstpage

369

Lastpage

373

Abstract

A method for designing linear quadratic regulators (LQR) which meet performance specifications with minimal control-signal amplitude is developed. A non-derivative search routine is used to find a smaller gain vector which places the closed-loop eigenvalues in a specific sector-type region. The method may be used to specify arbitrary damping and settling-time characteristics for both stable and unstable systems. In this paper, controllers are designed for example systems to demonstrate the use of the method. The method is shown to yield smaller gain vectors than a previous method, and may be expanded to address more complicated design problems

Keywords

closed loop systems; control system synthesis; damping; eigenvalues and eigenfunctions; linear quadratic control; matrix algebra; optimisation; stability; state feedback; closed-loop eigenvalues; damping; eigenvalue assignment optimization; gain vector; linear quadratic regulators; minimal control-signal amplitude; nonderivative search routine; performance specifications; settling-time characteristics; stable systems; unstable systems; Control systems; Damping; Design methodology; Eigenvalues and eigenfunctions; Mechanical engineering; Optimal control; Performance analysis; Regulators; Symmetric matrices; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on

Conference_Location

Baton Rouge, LA

ISSN

0094-2898

Print_ISBN

0-8186-7352-4

Type

conf

DOI

10.1109/SSST.1996.493531

Filename

493531