Nonlinear adaptive predictive targeting control of the continuous chaotic systems

The sigmoid-Volterra adaptive predictors are used. to perform nonlinear ada ptive predictive targeting control of chaos in continuous chaotic systems b ased on the nonlinear adaptive predictive principle of chaotic time series, where the nonlinear adaptive controller acts on only one-dimensional time series coming from the chaotic state of the controlled system. This adaptiv e predictive targeting controller can control the system to any desired sta te by means of adaptive cancellation. Computer simulation results on the Lo renz and Rossler systems are shown to, demonstrate the effectiveness of thi s nonlinear adaptive predictive targeting,control method. The advantages of this new method are that it does not need to know the accurate equations o r to identify the system's model of the controlled chaotic systems.