Using ergodicity of chaotic systems for improving the global properties of the delayed feedback control method.
A modified delayed feedback control algorithm with the improved global properties is proposed. The modification is based on the ergodic features of chaotic systems. We do not perturb the system until its state approaches a desired unstable periodic orbit and then we activate the delayed feedback control force. To evaluate the closeness of the system state to the target orbit, a special algorithm is devised. For continuous-time systems, it can be implemented by means of a simple low-pass filter. An additional low-pass filter can be used for selection of the particular orbit from several unstable orbits of the same period.
Pyragas
Kestutis
K
Semiconductor Physics Institute, A. Gostauto 11, Vilnius, Lithuania.
Pyragas
Viktoras
V
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D016014:Linear Models; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods*; D013598:Systems Theory