Title :
Global stability of periodic orbits in relay feedback systems
Author :
Varigonda, Subbarao ; Georgiou, Tryphon T.
Author_Institution :
Dept. of Chem. Eng. & Mater. Sci., Minnesota Univ., Minneapolis, MN, USA
Abstract :
We provide a sufficient condition for the global stability of a periodic orbit using the contraction mapping theorem. The condition is obtained by identifying an invariant set of the system dynamics in which the Poincare map is continuous and contractive. An upper bound on the norm of the derivative of the map is obtained by exploiting its geometric structure
Keywords :
feedback; linear systems; relay control; stability; state-space methods; Poincare map; contraction mapping theorem; global stability; relay feedback systems; state space; sufficient condition; upper bound; Hysteresis; Linear matrix inequalities; Linear systems; Orbits; Relays; Stability; State feedback; State-space methods; Sufficient conditions; Upper bound;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912311
