Stability of limit cycles in feedback systems containing a relay
- 1 January 1981
- journal article
- Published by Institution of Engineering and Technology (IET) in IEE Proceedings D Control Theory and Applications
- Vol. 128 (1) , 24-29
- https://doi.org/10.1049/ip-d.1981.0005
Abstract
The stability of limit cycles in feedback systems containing a relay is investigated in the paper. A necessary and sufficient condition for limit-cycle stability as well as a second necessary condition are derived. The conditions are used in conjunction with the exact limit-cycle solution which is readily found for relay systems. An approximate version of these two conditions, using the describing-function solution for the limit cycles, is also proposed. Extensive simulation results are given to substantiate the theory developed.Keywords
This publication has 0 references indexed in Scilit: