中文摘要：

针对一类带有初始状态误差的不确定离散线性系统,提出了一种鲁棒单调收敛的迭代学习控制策略.文中首先将该控制问题转化为一维系统的H∞干扰抑制问题,然后给出系统的稳定性分析和用线性矩阵不等式表示的鲁棒单调收敛的充分条件.仿真实验结果表明,文中的迭代学习控制策略可以保证系统的输出误差在2-范数意义下是单调收敛的,从而验证了该策略的有效性.

英文摘要：

Aiming at a class of uncertain discrete linear systems with non-zero constant initial errors,a robust monotonically-convergent iterative learning control （ILC） strategy is proposed.In this strategy,first,the above control problem is converted into a H∞ disturbance attenuation problem of one-dimension system.Then,the stability analysis of the system is presented and the sufficient conditions of the robust monotonic convergence are put forward in the form of linear matrix inequality （LMI）.Simulation results show that the proposed ILC scheme can ensure the monotonic convergence of the output error in the sense of 2-norm.The effectiveness of the proposed scheme is thus verified.