针对具有时变剧期不确定性的线性系统,提出了基于线性矩阵不等式(LMI)的P型鲁棒迭代学习控制(ILC)设计方法.建立能准确描述ILC过程的连续-离散2维(2D)模型,以LMI形式给出系统鲁棒稳定的充分条件,并将条件应用于控制器参数的设计,最后,数值仿真实例验证了所提方法的正确性.
A robust P-type iterative-learning-control (ILC) system is proposed for the linear systems with time-varying periodic uncertainties based on linear matrix inequality (LMI). A continuous-discrete two-dimensional (2D) model is built that can describe the process of the ILC system accurately. A sufficient condition of robust stability is presented in the form of an LMI and used to design the parameters of the controller. Finally, a numerical example verifies the correctness of the proposed method.