Abstract: A double mode control is proposed to guarantee the stability of the closed-loop system which applies predictive control to driving the state to the terminal constraint region,and then uses local linear control to drive the state to the origin. By analyzing a class of predictive control based on least squares support vector machine(LS-SVM),a terminal constraint is appended to the conventional performance index,and four sufficient conditions are deduced by Lyapunov method to guarantee the stability of the closed-loop system.According to these conditions,a double mode control algorithm based on LS-SVM is deduced.The simulation result shows the advantage of the proposed algorithm.