Title :
Limit cycles with chattering in relay feedback systems
Author :
Johansson, Karl H. ; Baranov, Alexander ; Astrom, K.J.
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol.
Abstract :
Several interesting behaviors occur in relay feedback systems. One of them is a limit cycle where part of the limit cycle consists of fast relay switches. This chattering is analyzed in detail, and conditions for approximating it by a sliding mode are derived. The stability conditions are proved for limit cycles with regular sliding modes as well as with chattering. Simulated examples illustrate these new results
Keywords :
feedback; limit cycles; nonlinear control systems; relay control; stability; state-space methods; variable structure systems; chattering; limit cycle; nonlinear systems; relay control; relay feedback systems; sliding mode; stability; state space; Automatic control; Control systems; Digital relays; Feedback; Limit-cycles; Linear systems; Nonlinear control systems; Sliding mode control; Stability; Switches;
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.1997.652339
