Periodic oscillations in systems with hysteresis

Subbarao Varigonda, Tryphon T. Georgiou

Research output: Contribution to journalConference article

Abstract

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 languageEnglish (US)
Pages (from-to)3837-3842
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
StatePublished - Dec 1 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

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