Pole-placement control of the tent map by gray prediction

Abstract

A novel control system of chaotic dynamics is proposed in this study. The compensator is composed of a pole-placement controller and a gray predictor. First, the pole-placement controller is designed according to the linearized model of the tent map. The state error of the linear model can be predicted by the gray system theory. The control signal can be appropriately adjusted in advance and the control performance can be meliorated at the same time. Computer simulations have demonstrated that the compensator can stabilize the chaotic system to a desired fixed point.