Title :
Stability of delayed feedback controllers for discrete time systems
Author_Institution :
Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey
Abstract :
We consider the delayed feedback control (DFC) scheme for one dimensional discrete time systems. To analyze the stability, we construct a map whose fixed points correspond to the periodic orbits of the system to be controlled. Then the stability of the DFC is equivalent to the stability of the corresponding equilibrium point of the constructed map.
Keywords :
Jacobian matrices; chaos; delay systems; discrete time systems; feedback; polynomials; stability; Jacobian matrices; chaos control; delayed feedback control; map equilibrium point; one dimensional discrete time systems; polynomials; stability; Adaptive control; Biological control systems; Chaos; Control systems; Delay effects; Digital-to-frequency converters; Discrete time systems; Force feedback; Orbits; Stability analysis;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236871
