Abstract: Concerning the identification of the accurate model parameters of biological fermentation process, a parameters estimation method for non-structural dynamical model of penicillin fermentation using the Gravitational Search Algorithm (GSA) was proposed. Based on the rule of fermentation mechanism, the appropriate state equations of non-structural dynamical model were chosen; and through virtue of the global searching ability of GSA, the parameters of state equation were estimated and the accurate fermentation model was obtained. The simulation results show that GSA accurately estimated model parameters in penicillin fermentation process, the accuracy of the obtained model can meet the requirements of state estimation and condition control in penicillin fermentation process. Therefore, GSA can be applied to model parameters estimation effectively.

Key words: parameter estimation, Gravitational Search Algorithm(GSA), penicillin fermentation, non-structural dynamical model, global optimization

摘要： 针对生物发酵过程难以精确估计模型参数的问题，提出一种利用引力搜索算法(GSA)对青霉素发酵非构造式动力学模型参数进行估计的方法。在分析发酵过程反应机理的基础上，选取合适的青霉素发酵非构造式动力学模型的状态方程式；然后利用GSA良好的全局搜索能力，对状态方程式的参数进行估计，从而得到精确的发酵模型。仿真结果表明：GSA实现了对青霉素发酵过程模型参数的准确估计，所得到的模型精度能够满足青霉素发酵过程的状态估计和控制需求。因此，GSA可有效地应用于模型参数估计。

关键词: 参数估计, 引力搜索算法, 青霉素发酵, 非构造式动力学模型, 全局最优