Title :
Sliding orbits and their bifurcations in relay feedback systems
Author :
Bernardo, Mario Di ; Johansson, Karl ; Vasca, Francesco
Author_Institution :
Dept. of Eng. Math., Bristol Univ., UK
Abstract :
This paper deals with the analysis of periodic solutions and their bifurcations in relay feedback systems. The occurrence of periodic solutions characterised by sliding sections is outlined and a particular case is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated
Keywords :
bifurcation; closed loop systems; feedback; relay control; stability; bifurcations; discrete-time mappings; periodic orbits; relay feedback systems; sliding orbits; stability; Bifurcation; Feedback; Limit-cycles; Mathematics; Orbits; Piecewise linear techniques; Power system relaying; Relays; Stability; Vectors;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832871
