Partial compensation problem in large scale systems

Author

Misra, Pradeep ; Laub, Alan ; Syrmos, Vassilis

Author_Institution

Dept. of Electr. Eng., Wright State Univ., Dayton, OH, USA

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3873

Abstract

This paper addresses the problem of partial state feedback compensation for large scale systems. It is desired that the eigenvalues of the closed loop state matrix lie in a specified region of the complex plane satisfying prescribed damping and stability margin. Only those eigenvalues of the state matrix are affected which do not lie in the desired region. This is achieved by block upper triangular decomposition of the state matrix. To decompose the system without having to compute the eigenvalues of the state matrix, matrix sector functions are used

Keywords

closed loop systems; compensation; damping; eigenvalues and eigenfunctions; large-scale systems; linear quadratic control; matrix algebra; pole assignment; stability; state feedback; closed loop systems; damping; eigenvalues; large scale systems; linear quadratic control; partial compensation; partial state feedback; pole placement; stability margin; state matrix; Control systems; Damping; Educational institutions; Eigenvalues and eigenfunctions; Equations; Large-scale systems; Matrix decomposition; Sparse matrices; Stability; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.652466

Filename

652466