For Hammerstein-Wiener nonlinear systems with the input and output constraints, the T-S fuzzy model is
established, and then a nonlinear predictive control algorithm based on piecewise Lyapunov function is proposed. By
constructing the piecewise Lyapunov function, the stability of nonlinear system is analyzed and the conversation of common
quadratic Lyapunov function is reduced. By offline designing the piecewise feedback control law and online implementing
the appropriate feedback control law, the online computational efficiency is improved greatly. The simulation results show
the effectiveness of the proposed algorithm.