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重复控制将人类的学习机制引入控制系统,并在许多领域中得到广泛的应用。文中针对一类具有时变结构不确定性的线性系统,研究基于输出反馈的鲁棒重复控制系统设计问题。为了能精确地描述重复控制的特性,建立起能够独立调节重复控制过程中的连续控制行为和离散学习行为的连续/离散二维混合模型,以线性矩阵不等式(LMI)形式给出重复控制系统鲁棒稳定的充分条件,并利用该稳定性条件进行重复控制系统的参数设计。最后用数值仿真验证了文中所提方法的有效性。
Repeated control introduces human learning mechanisms into control systems and is widely used in many fields. Aiming at a class of linear systems with time-varying structural uncertainties, the design problem of robust repetitive control system based on output feedback is studied. In order to accurately describe the characteristics of repetitive control, a continuous / discrete two-dimensional hybrid model that can independently adjust the continuous control behavior and the discrete learning behavior in the process of repeated control is established. In the form of linear matrix inequality (LMI) The stability of the rod and sufficient conditions, and the use of the stability of the conditions for repetitive control system parameter design. Finally, numerical simulation is used to verify the effectiveness of the proposed method.