Controlling the multiplicity of limit cycles

Author

Moiola, Jorge L. ; Chen, Guanrong

Author_Institution

Dept. de Ingenieria Electr., Univ. Nacional del Sur, Bahia Blanca, Argentina

Volume

3

fYear

1998

fDate

1998

Firstpage

3052

Abstract

Bifurcation control refers to the task of modifying certain bifurcative dynamical behavior of a nonlinear system that is desirable for an intended application, by means of designing an appropriate controller. In this paper, the problem of controlling the multiplicity of periodic solutions of a nonlinear systems is addressed. The approach utilizes the system curvature coefficients (or stability indexes) obtained via higher-order harmonic balance approximations. A typical example (Sibirskii´s example, 1965) of a planar cubic system is presented for illustration

Keywords

bifurcation; control system synthesis; limit cycles; nonlinear dynamical systems; stability; bifurcation control; bifurcative dynamical behavior; high-order harmonic balance approximations; limit cycles; nonlinear system; periodic solutions; planar cubic system; stability indexes; system curvature coefficients; Adaptive control; Bifurcation; Chaos; Control systems; Delay; Frequency domain analysis; Limit-cycles; Nonlinear control systems; Nonlinear systems; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.757964

Filename

757964