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Design of Repetitive Controller Using Optimization in Frequency Domain with Maximum Gain Constraints

机译：具有最大增益约束的频域优化设计重复控制器

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摘要

Spacecraft inherently have rotating parts such as the momentum wheels, reaction wheels or CMGs. Slight imbalances can produce vibrations that disturb fine pointing equipment. Repetitive control (RC) can be applied on an active vibration isolation to eliminate the effect of such periodic disturbances. An effective RC design method based on optimization in frequency domain was presented. In situations that a system needs large amount of correction, a compensator with high gains can generate a command that exceeds the capacity of the equipment. The error continues to grow and the system will become unstable. A method to reduce the magnitude of the compensator gains available in literature requires a weighting function that is difficult to design. This paper presents an alternative method to design an RC compensator that can limit the maximum magnitude of compensator gains. Simulation results show that the proposed method is more effective than the existing method.
机译：航天器固有地具有旋转部分，例如动量轮，反作用轮或CMG。轻微的不平衡会产生振动，从而干扰精细定位设备。可以对主动隔振应用重复控制（RC），以消除此类周期性干扰的影响。提出了一种基于频域优化的有效RC设计方法。在系统需要大量校正的情况下，具有高增益的补偿器会生成超过设备容量的命令。错误继续增长，系统将变得不稳定。减小文献中可用的补偿器增益的幅度的方法需要难以设计的加权函数。本文提出了另一种设计RC补偿器的方法，该方法可以限制补偿器增益的最大幅度。仿真结果表明，该方法比现有方法更有效。

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