Title :
Dynamics of a relay oscillator with hysteresis
Author :
Kalmár-Nagy, Tamás ; Wahi, Pankaj
Author_Institution :
Texas A&M Univ., College Station
Abstract :
The dynamics of a hysteretic relay oscillator with sinusoidal forcing is studied in this paper. Periodic excitation gives rise to periodic, quasiperiodic and chaotic responses. A Poincare map is introduced to facilitate mathematical analysis. Conditions on the amplitude and frequency of the forcing for the existence of periodic solutions have been obtained. Families of one-period solutions are determined as fixed points of the Poincare. These families of one-period solutions represent coexisting subharmonic responses. Stability analysis reveals that these solutions can be classified as center or saddle.
Keywords :
Poincare mapping; chaos; hysteresis; nonlinear control systems; nonlinear dynamical systems; relay control; stability; Poincare map; chaotic response; hysteretic relay oscillator dynamics; mathematical analysis; periodic excitation; sinusoidal forcing; stability; subharmonic response; Bifurcation; Chaos; Frequency; Hysteresis; Mathematical analysis; Oscillators; Relays; Stability analysis; Switches; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434347