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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.
Aiming at a class of uncertain discrete nonlinear systems, an explicit high order sliding mode predictive control algorithm is proposed. By using the power law reaching law and the high order sliding mode control method, combined with the predictive control strategy, Order sliding mode prediction model, an explicit high-order sliding mode predictive model controller is obtained, which combines the advantages of the sliding mode control method and the predictive control method, and effectively weakens the chattering of the sliding mode control system. Finally, The simulation example proves the validity of the article design method. Compared with the traditional sliding mode predictive control, the convergence speed is faster and the stability is better.