In this work, we show how optimal control theory can be used to optimize membrane filtration processes. The objective is to determine the optimal switching between filtration and backwash sequences in order to maximize the net water production per membrane area of microfiltration or ultrafiltration systems over a given period of time. The optimal solutions, whether the backwash flux is constant or variable, have been derived for a membrane filtration process operating at constant transmembrane pressure using a class of filtration models defined only by their qualitative behaviors. The optimal solution is applied in a simulation case study by considering a specific model validated on data recovered from the literature. The robustness of the approach has been evaluated for different disturbances.

中文翻译：

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物理反冲洗策略的优化控制——提高膜过滤工艺性能

在这项工作中，我们展示了如何使用最优控制理论来优化膜过滤过程。目标是确定过滤和反冲洗顺序之间的最佳切换，以便在给定的时间内最大限度地提高微滤或超滤系统每膜面积的净产水量。对于在恒定跨膜压力下运行的膜过滤过程，使用一类仅由其定性行为定义的过滤模型，已经推导出了最佳解决方案，无论反冲洗通量是恒定的还是可变的。通过考虑对从文献中恢复的数据进行验证的特定模型，将最佳解决方案应用于模拟案例研究。该方法的鲁棒性已经针对不同的干扰进行了评估。