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Stability results for some periodic feedback controllers

Author:Morgul Omer, Bilkent University, Turkey
Topic:2.3 Non-Linear Control Systems
Session:Control and Chaos
Keywords: Chaos control, delayed feedback system, Pyragascontroller, stability.

Abstract

We propose two periodic feedback schemes for the stabilization ofperiodic orbits for one dimensional discrete time chaotic systems.These schemes can be generalized to higher dimensional systems ina straightforward way. We show that the proposed schemes achievestabilization of a wide range of periodic orbits. The proposedschemes are quite simple and we show that any hyperbolic periodicorbit can be stabilized with these schemes. We also present somesimulation results.