甘油间歇生物歧化非线性系统的参数辨识

Parameter identification for nonlinear batch bio-dissimilation system of glycerol

研究了甘油间歇生物歧化非线性系统的参数辨识问题.针对甘油间歇生物歧化过程的非线性常微分方程系统,首先给出了以代谢物浓度误差与斜率误差之和为优化目标、以甘油间歇生物歧化过程的非线性常微分方程系统为约束的参数辨识动态优化问题;然后基于改进的欧拉法将动态优化问题中的常微分方程组近似表示为代数方程组,从而可将原动态优化问题转化为非线性规划问题;最后利用粒子群算法求解得到的非线性规划问题.与已有文献相比,本文获得了更好的参数辨识结果,为构建甘油间歇生物歧化过程的非线性系统提供理论指导.

The parameter identification for nonlinear batch bio-dissimilation system of glycerol is studied.For the nonlinear ordinary differential equation system of batch bio-dissimilation process of glycerol,a dynamic optimization problem for its parameter identification is first given by considering the sum of metabolite concentration and slope errors as the optimization objective.The nonlinear ordinary differential equation system of batch bio-dissimilation process of glycerol is considered a constraint of this dynamic optimization problem.Then the ordinary differential equations of the dynamic optimization problem are approximately represented as the algebraic equations by an improved Euler method.In this way,the original dynamic optimization model is transformed as a nonlinear programming problem.Finally,a particle swarm optimization algorithm is used to solve the obtained nonlinear programming problem.Compared with the existing literatures,this paper obtained the better parameter identification results.This can provide a guide for building the nonlinear system of batch bio-dissimilation process of glycerol.