Dynamics of relay relaxation oscillators

Citation
S. Varigonda et Tt. Georgiou, Dynamics of relay relaxation oscillators, IEEE AUTO C, 46(1), 2001, pp. 65-77
Citations number
41
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
46
Issue
1
Year of publication
2001
Pages
65 - 77
Database
ISI
SICI code
0018-9286(200101)46:1<65:DORRO>2.0.ZU;2-L
Abstract
Relaxation oscillators can usually be represented as a feedback system with hysteresis, The relay relaxation oscillator consists of relay hysteresis a nd a linear system in feedback. The objective of this work is to study the existence of periodic orbits and the dynamics of coupled relay oscillators, In particular we give a complete analysis for the case of unimodal periodi c orbits, and illustrate the presence of degenerate and asymmetric orbits. We also discuss how complex orbits can arise from bifurcation of unimodal o rbits, Finally, we focus on oscillators with an integrator as the linear co mponent, and study the entrainment under external forcing, and phase lockin g when such oscillators are coupled in a ring.