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
fDate :
6/21/1905 12:00:00 AM
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827954
