A new algorithm for finite spectrum assignment of single-input systems with time delay

Author

Watanabe, Keiji ; Nobuyama, Eitaku ; Kitamori, Toshiyuki ; Ito, Masami

Author_Institution

Dept. of Electron. Eng., Yamagata Univ., Yonezawa, Japan

Volume

37

Issue

9

fYear

1992

fDate

9/1/1992 12:00:00 AM

Firstpage

1377

Lastpage

1383

Abstract

Finite spectrum assignment for time-delay systems is the elimination of delay operators from the characteristic function of the closed-loop system and the arbitrary assignment of poles. The control consists of polynomials in the delay operator and finite Laplace transforms. An algorithm for computing the control matrix is presented. In particular, the control matrix over rational functions of a delay operator is computed and expanded to partial fractions. Partial fractions are systematically transformed to finite Laplace transforms

Keywords

Laplace transforms; closed loop systems; delays; matrix algebra; poles and zeros; polynomials; characteristic function; closed-loop system; control matrix; finite Laplace transforms; finite spectrum assignment; partial fractions; poles assignment; polynomials; rational functions; single-input systems; time delay; Control systems; Delay effects; Delay systems; Differential equations; Feedback control; Indium tin oxide; Laplace equations; Physics; Polynomials;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.159575

Filename

159575