2006•Journal of Jiangsu University of Science and TechnologyRequires access

Optimal Control for New Chaotic System

Tingfang Zhang, Hongxing Yao

Abstract

A new chaotic system with its basic dynamic behaviors is introduced.With different parameters,two 1-scroll chaotic attractors or two 2-scroll chaotic attractors can be displayed simultaneously.Based on Lyapunov theory of stability and Krasovskii theory,an optimal controller was designed by means of the coordinate transformation for controlling the new type chaotic system.Then the orbit of the chaotic system can be controlled to its unstable equilibrium.Results from numerical simulation and theoretical analysis proved the controller effective.

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Key concepts: Attractor, Chaotic, Control theory (sociology), Controller (irrigation), Transformation (genetics), Computer science, Synchronization of chaos, Stability (learning theory)