Title :
Duhem Feedback and Friction-Induced Staircase Hysteresis
Author :
Padthe, Ashwani K. ; Bernstein, Dennis S.
Author_Institution :
Univ. of Michigan, Ann Arbor
Abstract :
In this paper we provide a system-theoretic picture of the hysteresis induced by friction. We study the hysteretic response of a linear system connected with a Duhem hysteretic model in the feedback. We then use the popular Dahl and LuGre Duhem friction models to model the mass-spring system with friction, as a linear system with Duhem feedback. We use the feedback model to study the hysteretic response between the external force applied on the mass and the displacement of the mass.
Keywords :
control nonlinearities; feedback; friction; hysteresis; linear systems; mechanical variables control; springs (mechanical); Duhem feedback; friction-induced staircase hysteresis; hysteretic response; linear system; mass-spring system; Cities and towns; Control systems; Force feedback; Friction; Hysteresis; Linear systems; Mechanical systems; Output feedback; Testing; Velocity measurement;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282945