Chaos Analysis and Control in Gear Transmission System using Model Predictive Sliding Mode Algorithm

In this paper at first the chaotic behavior of a spur gear system is investigated by the use of numerical tools including phase plane trajectories, Poincare’ section and bifurcation diagrams. in order to eliminate the chaotic oscillations, a novel controller on the basis of the predictive sliding mode control is proposed in which the sliding surface is predicted using the model predictive control theory and the control input is obtained. The simulation results of the feedback system depict the effectiveness of the controller in elimination of the chaotic vibrations along with the reduction of settling time, overshoots, and energy consumption.