Abstract We propose an optimal control problem to determine the best aeration strategy for aerobic biodegradation in a composting cell. The goal is to minimize the deviation of the oxygen level from its reference value for the entire duration of the biodegradation process. The mathematical model includes several chemical phenomena, like the aerobic biodegradation of the soluble substrate by means of a bacterial biomass, the hydrolysis of insoluble substrate and the biomass decay. The oxygen and the optimal mechanical aeration time profiles are obtained and discussed. Finally, the plant performance is evaluated in absence and presence of external aeration by means of several specific indices.

中文翻译：

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生物细胞堆肥厂氧气控制的数学模型

摘要 我们提出了一个最优控制问题来确定堆肥池中好氧生物降解的最佳曝气策略。目标是在整个生物降解过程中最大限度地减少氧气水平与其参考值的偏差。数学模型包括几种化学现象，如可溶性底物通过细菌生物质的有氧生物降解、不溶性底物的水解和生物质衰变。获得并讨论了氧气和最佳机械曝气时间曲线。最后，在没有和有外部曝气的情况下，通过几个特定的​​指标来评估工厂的性能。