Title :
Friction generated limit cycles
Author :
Olsson, Henrik ; Åström, Karl J.
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Abstract :
This paper presents techniques that admit an exact analysis of limit cycles caused by friction. Necessary conditions for limit cycle oscillations are given as well as conditions for local stability of the limit cycles. There are two types of limit cycles, one where motion sticks for a time interval and another where the velocity is zero only at single time instants. The results are applied to an example with a resonant servo. Comparisons with describing function analysis are also made
Keywords :
control system analysis; friction; functional analysis; limit cycles; linear systems; oscillations; stability; dynamical systems; friction; function analysis; limit cycles; linear systems; local stability; necessary conditions; oscillations; resonant servo; Control systems; Friction; Hydrogen; Limit-cycles; Linear systems; Motion control; Process control; Relays; Stability; Velocity control;
Conference_Titel :
Control Applications, 1996., Proceedings of the 1996 IEEE International Conference on
Conference_Location :
Dearborn, MI
Print_ISBN :
0-7803-2975-9
DOI :
10.1109/CCA.1996.558968
