Pole placement algorithms for symmetric realisations

Author

Mahony, Robert ; Helmke, U. ; Moore, John

Author_Institution

Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia

fYear

1993

fDate

15-17 Dec 1993

Firstpage

1355

Abstract

In this paper we propose a numerical algorithm for determining optimal output feedback gains for the pole placement task for symmetric state space systems. The algorithm is based on minimising a least squares cost criterion which is well defined even when an exact solution to the pole placement task does not exist. Thus, the proposed algorithm provides an important tool in investigating the complex structure of the pole placement task as well as a means to compute optimal output feedback gain matrices to provide a “best fit” between the system poles and the desired poles

Keywords

feedback; least squares approximations; linear systems; matrix algebra; minimisation; optimal control; poles and zeros; state-space methods; least squares cost criterion; linear symmetric feedback; minimisation; optimal output feedback gains; output feedback gain matrices; pole placement; symmetric state space systems; Adaptive systems; Algorithm design and analysis; Australia; Feedback loop; Least squares methods; Output feedback; Robustness; State feedback; State-space methods; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325407

Filename

325407