Elements of physical oscillation and control theory

Author

Chechurin, Sergey L. ; Chechurin, Leonid S.

Author_Institution

Inst. of Innovatics, St. Petersburg State Polytech. Univ., Russia

Volume

2

fYear

2003

fDate

20-22 Aug. 2003

Firstpage

589

Abstract

Parametric oscillation conditions for periodically time-variant system and stability failure of periodic motion of nonlinear dynamic system are derived within the mono-frequency approximation. Graphical illustration and physically based explanation for oscillation conditions are given. Conditions for two-frequency combined oscillation of sum and difference resonance phenomenon and high frequency synchronization are obtained. A problem of nonlinear system robust control avoiding one-frequency parametric resonances is set up.

Keywords

nonlinear systems; oscillations; resonance; robust control; synchronisation; time-varying systems; control theory; difference resonance phenomenon; high frequency synchronization; mono-frequency approximation; nonlinear system; one-frequency parametric resonances; parametric oscillation conditions; periodically time variant system; physical oscillation elements; robust control; stability failure; sum resonance phenomena; two-frequency combined oscillation; Control theory; Frequency synchronization; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Resonance; Robust control; Stability criteria; State feedback; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Control, 2003. Proceedings. 2003 International Conference

Print_ISBN

0-7803-7939-X

Type

conf

DOI

10.1109/PHYCON.2003.1236899

Filename

1236899