Autoregressive self-tuning feedback control of the Hénon map

Details Autoregressive self-tuning feedback control of the Hénon map Autoregressive self-tuning feedback control of the Hénon map

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrve..54.6201b&link_type=abstract

Physical Review E, vol. 54, Issue 6, pp. 6201-6206

Physics

1

Control Systems

Scientific paper

This paper describes a method based on self-feedback for controlling both chaotic and nonchaotic forms of the Hénon map with and without additive Gaussian white noise. We describe a nonlinear self-tuning controller that makes use of a feedback reference signal and a linear autoregressive formulation for the gain. This controller is effective at stabilizing the map to a variety of fixed point or period-two orbits. We contrast our approach with the method of Ott, Grebogi, and Yorke [

Phys. Rev. Lett. 64, 1196 (1990)

] which has been used to control some chaotic processes and recently, some nonchaotic, stochastic ones.

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