DocumentCode
1699232
Title
Periodic oscillations in systems with hysteresis
Author
Varigonda, Subbarao ; Georgiou, Tryphon T.
Author_Institution
Dept. of Chem. Eng. & Mater. Sci., Minnesota Univ., Minneapolis, MN, USA
Volume
4
fYear
1999
fDate
6/21/1905 12:00:00 AM
Firstpage
3837
Abstract
We study the dynamics of a feedback system with hysteresis. The identification of switching surfaces in state space naturally gives rise to a Poincare map whose fixed points represent the periodic orbits of the system. For linear systems in feedback with a relay hysteresis nonlinearity, necessary and sufficient conditions for the existence of unimodal periodic solutions are obtained and the stability of the periodic orbit is analyzed
Keywords
control nonlinearities; feedback; hysteresis; identification; linear systems; oscillations; relay control; stability; time-varying systems; Poincare map; feedback system; necessary and sufficient conditions; periodic oscillations; relay hysteresis nonlinearity; switching surfaces; unimodal periodic solutions; Biological system modeling; Chemical engineering; Feedback; Hysteresis; Linear systems; Nonlinear dynamical systems; Orbits; Relays; State-space methods; Switches;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.827954
Filename
827954
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