Automatic Control Laboratory, University of Mons, 31 Boulevard Dolez, 7000 Mons, Belgium.
Bioprocess Biosyst Eng. 2013 Jan;36(1):35-43. doi: 10.1007/s00449-012-0758-5. Epub 2012 Jun 1.
Several mathematical models have been developed in anaerobic digestion systems and a variety of methods have been used for parameter estimation and model validation. However, structural and parametric identifiability questions are relatively seldom addressed in the reported AD modeling studies. This paper presents a 3-step procedure for the reliable estimation of a set of kinetic and stoichiometric parameters in a simplified model of the anaerobic digestion process. This procedure includes the application of global sensitivity analysis, which allows to evaluate the interaction among the identified parameters, multi-start strategy that gives a picture of the possible local minima and the selection of optimization criteria or cost functions. This procedure is applied to the experimental data collected from a lab-scale sequencing batch reactor. Two kinetic parameters and two stoichiometric coefficients are estimated and their accuracy was also determined. The classical least-squares cost function appears to be the best choice in this case study.
已经在厌氧消化系统中开发了几种数学模型，并采用了各种方法进行参数估计和模型验证。然而，在报告的 AD 建模研究中，相对较少涉及结构和参数可识别性问题。本文提出了一种三步程序，用于可靠地估计简化的厌氧消化过程模型中的一组动力学和化学计量参数。该程序包括应用全局敏感性分析，该分析允许评估已识别参数之间的相互作用、多起点策略，该策略给出了可能的局部最小值的图片以及优化标准或成本函数的选择。该程序应用于从实验室规模的序批式反应器收集的实验数据。估计了两个动力学参数和两个化学计量系数，并确定了它们的准确性。在这种情况下，经典最小二乘成本函数似乎是最佳选择。
