一类离散非线性系统基于幂次函数的显式高阶滑模预测控制算法

EXPLICIT HIGHER ORDER SLIDING MODE PREDICTIVE CONTROL ALGORITHM FOR A CLASS OF DISCRETE-TIME NONLINEAR SYSTEMS

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.

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-