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.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 1 1999|
|Event||The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA|
Duration: Dec 7 1999 → Dec 10 1999