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Optimal control of biodiesel production in a batch reactor Part Ⅱ: Stochastic control

机译：分批反应器中生物柴油生产的最优控制第二部分：随机控制

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摘要

The determination of time-varying profiles through dynamic optimization is an exclusive characteristic of optimal control problems; however, these types of problems become more challenging when variability and uncertainty in any parameter is included. In biodiesel production, there are inherent uncertainties arising due to variation in initial composition, operating parameters, and mechanical equipment design that can have a significant impact on the product quantity, quality and process economics. Thus, one of the most influential uncertainties in this process is the feed composition since the percentage and type of triglycerides in biodiesel composition varies considerable. In this work, the optimal control for biodiesel production in a batch reactor developed in Part 1 is extended to a problem when uncertainty in the feed composition is considerably. Under control of reactor temperature, we applied a numerical method, based on the Steepest Ascent of Hamiltonian to solve the stochastic optimal control problem that involved the application of Ito processes and the stochastic maximum principle. It has been found that the temperature profile obtained using deterministic optimal control is robust in the face of feed composition uncertainties also.
机译：通过动态优化确定时变曲线是最优控制问题的独有特征。但是，如果在任何参数中都包含可变性和不确定性，这些类型的问题将变得更具挑战性。在生物柴油生产中，由于初始成分，操作参数和机械设备设计的变化而产生固有的不确定性，这些不确定性可能对产品的数量，质量和工艺经济性产生重大影响。因此，该过程中最具影响力的不确定因素之一是进料组成，因为生物柴油组成中甘油三酸酯的百分比和类型变化很大。在这项工作中，第1部分中开发的间歇式反应器中生物柴油生产的最佳控制扩展到了进料组成的不确定性相当大的问题。在反应堆温度控制下，我们基于哈密顿量的最陡上升，采用了一种数值方法来解决涉及Ito过程应用和随机极大值原理的随机最优控制问题。已经发现，使用确定性最佳控制获得的温度曲线在饲料成分不确定性方面也是稳健的。

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  • 来源
    《Fuel》 |2012年第2012期|p.218-226|共9页
  • 作者

    Pahola T. Benavides; Urmila Diwekar;

  • 作者单位

    Department of Industrial Engineering, University of Illinois, Chicago, IL 60607, USA,Centerfor Uncertain Systems: Tools for Optimization & Management (CUSTOM), Viswamitra Research Institute, Clarendon Hills, IL 60514, USA;

    Department of Bio Engineering, University of Illinois, Chicago, IL 60607, USA,Centerfor Uncertain Systems: Tools for Optimization & Management (CUSTOM), Viswamitra Research Institute, Clarendon Hills, IL 60514, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    batch reactor; feed variability; biodiesel; optimal control; stochastic maximum principle;

    机译：间歇反应器饲料变异性生物柴油最佳控制;随机最大原理;

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