Model-Free Predictive Control for a Kind of High Order Nonlinear Systems

For a type of high-order discrete-time nonlinear systems ( HDNS ) whose system models are undefined, a model-free predictive control ( MFPC ) algorithm is proposed in this paper. At first, an estimation model is given by the improved projection algorithm to approach the controlled nonlinear system. Then, on the basis of the estimation model, a predictive controller is designed by solving the finite time domain rolling optimization quadratic function, and the controller' s explicit analytic solution is also obtained. Furthermore, the closed-loop system's stability can be ensured. Finally, the results of simulation reveal that the presented control strategy has a faster convergence speed as well as more stable dynamic property compared with the model-free sliding mode control ( MFSC) .