Abstract In this work, a frequency constrained predictive control method is proposed for large scaled spatially distributed systems. A spatial–temporal frequency analysis is first performed to explicitly address the preference of the actuator profile in spatial frequency domain. To achieve the desired actuator profile, the piecewise- and pointwise-spatial frequency (magnitude) constraints are developed, based on which a novel model predictive controller that is able to guarantee the pre-specified requirements on the actuator frequency response is formulated. It is further shown that the proposed frequency constrained model predictive control method can be solved by standard optimization methods. Lastly, a process from the sheet and film industry has been employed to test the effectiveness of the developed method.

中文翻译：

---

大规模空间分布式系统的频率约束预测控制

摘要 在这项工作中，提出了一种用于大规模空间分布式系统的频率约束预测控制方法。首先执行时空频率分析以明确解决空间频率域中执行器轮廓的偏好。为了实现所需的致动器轮廓，开发了分段和逐点空间频率（幅度）约束，在此基础上制定了一种新型模型预测控制器，该控制器能够保证对致动器频率响应的预先指定要求。进一步表明，所提出的频率约束模型预测控制方法可以通过标准优化方法求解。最后，采用了片材和薄膜行业的工艺来测试所开发方法的有效性。