混沌Lorenz系统的控制研究

STUDY ON CONTROL OF CHAOTIC LORENZ SYSTEM

研究了利用非线性控制理论控制混沌Ｌｏｒｅｎｚ系统的方法．通过施加ｂａｎｇｂａｎｇ控制，可以把Ｌｏｒｅｎｚ系统的混沌运动转化成包含有短期和间断混沌态的多种不同形式的运动．特别是运用控制手段，可消除初始状态对运动不确定性的影响。

Abstract This paper investigates the methods for controlling chaos in the Lorenz system with nonlinear control theory. Applying a bang bang control, we are able to transform the chaotic motion of the Lorenz system to stable motion which may contain apparent short (or intermediate ) term chaotic motion. In particular, using the control method, we can eliminate the effect of initial conditions on the indeterminateness of the motion and drive the chaotic system to a specified equilibrium state.