Title :
Locating periodic orbits from experimental data
Author :
Lim, Ernest ; Mareels, Iven
Author_Institution :
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Abstract :
A method for estimating the location of periodic orbits in chaotic systems is presented. The result is significant in that periodic orbits of systems with unknown dynamics are required as targets in the control of chaos. Supporting theoretical evidence is provided for certain complex recurrent systems. The paper is concluded with some simulation examples
Keywords :
chaos; discrete time systems; large-scale systems; nonlinear dynamical systems; state estimation; chaos; chaotic systems; complex recurrent systems; discrete time systems; dynamical systems; periodic orbits; state estimation; Chaos; Control systems; Error correction; Information processing; Motion control; Motion estimation; Orbits; Signal processing; Target tracking; Trajectory;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757785
