This paper concerns with the issues of designing an improved-equivalent-input-disturbance (IEID) based robust two dimensional modified repetitive control (2D MRC) for a class of fuzzy systems in the presence of aperiodic disturbances. Specifically, IEID-estimator is implemented to the 2D MRC systems that estimates all types of disturbances and compensates them for assuring robust stability. In particular, the proposed 2D MRC system has two different type of behaviours such as continuous control and discrete learning independently. To obtain gains of the observer and the controller, an adequate set of robust stability conditions is derived in the form of a linear-matrix-inequalities. Finally, simulation results for three numerical examples are provided to depict the efficacy of the proposed control technique.

本文关注的问题是，在存在非周期性扰动的情况下，针对一类模糊系统设计基于改进的等效输入扰动（IEID）的鲁棒二维修正重复控制（2D MRC）。具体地说，IEID估计器是在2D MRC系统中实现的，该系统可以估计所有类型的干扰并对其进行补偿，以确保鲁棒的稳定性。特别是，提出的2D MRC系统具有两种不同类型的行为，例如连续控制和独立学习。为了获得观察者和控制器的收益，以线性矩阵不等式的形式导出了足够的一组鲁棒稳定性条件。最后，提供了三个数值示例的仿真结果，以描述所提出的控制技术的有效性。