TY - JOUR
T1 - Periodic oscillations in systems with hysteresis
AU - Varigonda, Subbarao
AU - Georgiou, Tryphon T.
PY - 1999
Y1 - 1999
N2 - In this note 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.
AB - In this note 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.
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M3 - Conference article
AN - SCOPUS:0033307038
SN - 0191-2216
VL - 4
SP - 3837
EP - 3842
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
T2 - The 38th IEEE Conference on Decision and Control (CDC)
Y2 - 7 December 1999 through 10 December 1999
ER -