Control and Chaos pp 207-225 | Cite as
Combined Controls for Noisy Chaotic Systems
Abstract
Consider a class of chaotic dynamical systems in a noisy environment. We propose a design method for the construction of a combined controller. There are two components involved in this combined controller: a directing controller and a local feedback correction. The directing controller is obtained by using a computational algorithm for solving open-loop optimal control problems. Its aim is to direct orbits of the dynamical system towards a desired target. The local feedback correction is to act on the dynamical system throughout the targeting process as a supplementary controller to counter the noisy effects. Numerical simulations are presented to illustrate the feasibility and efficiency of the proposed design method.
Keywords
Optimal Control Problem Chaotic System Stable Manifold Admissible Control Reference TrajectoryPreview
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