A robust periodic pole assignment algorithm

Author

Longhi, Sauro ; Zulli, Romolo

Author_Institution

Dipartimento di Elettronica ed Autom., Ancona Univ., Italy

Volume

40

Issue

5

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

890

Lastpage

894

Abstract

In this note a robust periodic pole assignment algorithm is proposed for linear, time-invariant, discrete-time systems. The condition numbers of the eigenvector matrices of the closed-loop system are assumed as a robustness measure and a periodic state-feedback law is deduced by the minimization of the condition numbers associated to the eigenvectors of the monodromy matrix of the closed-loop system. The proposed periodic pole assignment algorithm has been tested on a number of examples, giving satisfactory results

Keywords

closed loop systems; discrete time systems; eigenvalues and eigenfunctions; linear systems; matrix algebra; minimisation; pole assignment; robust control; state feedback; closed-loop system; condition numbers; eigenvector matrices; eigenvectors; linear time-invariant discrete-time systems; minimization; monodromy matrix; periodic state-feedback law; robust periodic pole assignment algorithm; robustness measure; Control design; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Linear systems; Robust control; Robustness; State feedback; Symmetric matrices; System testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.384224

Filename

384224