Digital control of a nonlinear system and periodic behaviour

Author

Atadan, S.

Author_Institution

Dept. of Mech. Eng., British Columbia Univ., Vancouver, BC, Canada

fYear

1990

fDate

5-7 Dec 1990

Firstpage

1931

Abstract

The digital control of a nonlinear system is analyzed in general terms. The analysis considers the case of a pair of branches of the root loci crossing the unit circle. The crossing occurs as the eigenvalues of the Jacobian of the discrete-time system are varied depending on, for example, the sampling period, and the crossing is assumed to take place anywhere on the unit circle except on the real axis. Results are presented for a particular example

Keywords

control system analysis; digital control; discrete time systems; nonlinear systems; root loci; Jacobian; digital control; discrete-time system; eigenvalues; nonlinear system; root loci crossing; sampling period; Bifurcation; Control systems; Digital control; Eigenvalues and eigenfunctions; Jacobian matrices; Mechanical engineering; Nonlinear systems; Perturbation methods; Sampling methods; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203959

Filename

203959

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3084489