中文摘要：

针对一类不确定离散非线性系统，提出了一种显式高阶滑模预测控制算法：利用幂次函数趋近律和高阶滑模控制方法，结合预测控制策略，给出了一种高阶滑模预测模型，得到了显式的高阶滑模预测模型控制器，使其兼具滑模控制方法与预测控制方法的优点，有效削弱了滑模控制系统的抖振现象．最后用数值仿真算例证明了文章设计方法的有效性，与传统滑模预测控制相比，收敛速度更快，稳定性更好．

英文摘要：

An explicit higher order sliding mode predictive control algorithm is pre- sented for a class of nonlinear uncertain systems： By applying power exponential reaching law and higher order sliding mode method, employing predictive control strategy, construct a higher order sliding mode prediction model, and get the explicit higher order sliding mode predictive controller, the closed-loop system is proved hav- ing advantages of sliding mode control and predictive control, and effectively weaken- ing the chattering phenomenon of sliding mode control system. Finally, the simulationresults for a numerical example prove compared with the traditional sliding gence speed and better stability. the effectiveness of the designed method, and mode predictive control, it has faster conver-