Poles and zeros for time-varying systems

Author

O´Brien, Richard T., Jr. ; Iglesias, Pablo A.

Author_Institution

Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

2672

Abstract

Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system´s impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen (1988) and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2nd order systems and a numerical example is given to illustrate this procedure

Keywords

continuous time systems; linear systems; poles and zeros; stability; state-space methods; time-varying systems; transient response; 2nd order systems; continuous-time linear time-varying systems; diagonal state equation; impulse response; pole set; stability-preserving variable change; time-invariant systems; time-varying state equation; time-varying transformation; Design methodology; Ear; Eigenvalues and eigenfunctions; Equations; Poles and zeros; Robustness; Stability; State-space methods; Time varying systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611941

Filename

611941