AUTOREGRESSIVE SELF-TUNING FEEDBACK-CONTROL OF THE HENON MAP

This paper describes a method based on self-feedback for controlling b oth chaotic and nonchaotic forms of the Henon map with and without add itive Gaussian white noise. We describe a nonlinear self-tuning contro ller that makes use of a feedback reference signal and a linear autore gressive formulation for the gain. This controller is effective at sta bilizing 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 chao tic processes and recently, some nonchaotic, stochastic ones.