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首页> 外文期刊>IEEE Transactions on Automatic Control >Optimal Control of Membrane-Filtration Systems
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Optimal Control of Membrane-Filtration Systems

机译:膜过滤系统的最佳控制

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This paper studies an optimal control problem related to membrane-filtration processes. A generic mathematical model of membrane fouling is used to capture the dynamic behavior of the filtration process, which consists in the attachment of matter onto the membrane during the filtration period, and the detachment of matter during the cleaning period. We consider the maximization of the net water production of a membrane filtration system (i.e., the filtrate) over a finite time horizon, where the control variable is the sequence of filtration/backwashing cycles over the operation time of process. Based on the Pontryagin's maximum principle, we characterize the optimal control strategy and show that it exhibits a singular arc. Moreover, we prove the existence of an additional switching curve before reaching the terminal state, and also the possibility of having a dispersal curve as a locus where both the different strategies are optimal.
机译:本文研究了与膜过滤过程相关的最佳控制问题。膜污垢的通用数学模型用于捕获过滤过程的动态行为,其包括在过滤时段期间的物质附着到膜上,以及在清洁期间的脱离。我们考虑在有限时间范围内的膜过滤系统(即,滤液)的净水产生的最大化,其中控制变量是在工艺操作时间上的过滤/反洗循环序列。基于Pontryagin的最大原理,我们表征了最佳控制策略,并表明它呈现出一个奇异的弧。此外,我们证明了在达到终端状态之前的额外切换曲线的存在,以及将分散曲线作为轨迹的可能性,其中不同策略是最佳的。

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