Title :
On a Lipschitzian dynamic model of a simple hysteresis
Author :
Gurfil, Pini ; Shaviv, Ilan G. ; Friedland, Bernard
Author_Institution :
Dept. of Aerosp. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Abstract :
A Lipschitzian dynamic model of a simple, relay-type hysteresis is considered. Being Lipschitzian, the approximate model may be thought of as more physically realistic than the ideal simple hysteresis. Simulations carried out using the suggested model encounter no integration-step singularities. Furthermore, since the approximate model involves a sector bounded nonlinearity, global absolute asymptotic stability analysis can be performed without substantially modifying the well known circle criterion
Keywords :
absolute stability; asymptotic stability; control nonlinearities; describing functions; feedback; hysteresis; transfer functions; Lipschitzian dynamic model; approximate model; circle criterion; global absolute asymptotic stability analysis; relay-type hysteresis; sector bounded nonlinearity; Aerodynamics; Aerospace engineering; Ash; Frequency; Gallium arsenide; Hysteresis; Nonlinear dynamical systems; Performance analysis; Relays; Strontium;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657607
