Title :
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
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;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236899
