Predictive Control Using Short-Term Prediction Method Based on chaos theory

In this paper, an active vibration control method for nonlinear mechanical systems is discussed. The control forces are determined by using the future values of the system obtained by the short-term prediction method based on chaos theory. The authors call such a control method a predictive control method. This method is applied to a pendulum system forced by a sinusoidal torque at the supported point as a numerical example here. The equation of motion for the system becomes nonlinear one when the swing angle is large. The angular displacements near future are used to calculate the control forces. Particularly, the methods to get the optimal sampling period, the forward horizon and the backward horizon are presented here and the effectiveness of the methods are examined numerically