中文摘要：

针对一类带有扰动、输入约束和凸多面体不确定性的区间时滞离散非线性系统,提出一种鲁棒模型预测控制方法.一方面,利用min-max模型预测控制求解鲁棒模型预测控制器,以研究鲁棒预测控制在范数有界意义下的扰动抑制问题;另一方面,充分利用时滞的上下界信息构造Lyapunov函数以得到控制器存在的充分条件.最后给出了闭环系统鲁棒稳定性证明.

英文摘要：

A robust model predictive control method is proposed for a class of discrete-time nonlinear systems with interval time-delay, perturbation, input constraint and polytopic-type uncertainties. Based on the rain-max model predictive control method, the robust model predictive controller is obtain. Then the disturbance rejection of the robust model predictive control in the sense of normbounded is studied. Besides, the informations of the upper and lower bounds of delay are applied to construct the Lyapunov function for obtaining the existence of the controller. Finally, the asymptotic stability of close-looped system is proved.