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J. X. Ye, E. M. Feng, L. Wang, Z. L. Xiu and Y. Q. Sun. Model- ing and robustness analysis of biochemical networks of glyc-erol metabolism by Klebsiella pneumoniae. Complex Sciences Lec- ture Notes of the Institute for Computer Sciences, Social Inform- atics and Telecommunications Engineering, Springer, Berlin Heidelberg, 2009, 4: 446-457.

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• 标题: 微生物发酵非线性动力系统的鲁棒次优控制Robust Suboptimal Control of a Nonlinear Dynamical System in Microbial Continuous Fermentation

  作者: 王娟, 冯恩民, 修志龙

  关键字: 非线性动力系统, 系统灵敏度, 鲁棒次优控制, 微生物发酵Nonlinear Dynamical System; System Sensitivity; Robust Suboptimal Control; Microbial Fermentation

  期刊名称: 《Dynamical Systems and Control》, Vol.2 No.2, 2013-04-29

  摘要: 以微生物连续发酵为研究背景，讨论了带有不确定参数的非线性动力系统的一类最优控制问题。综合考虑了两方面的因素，一是生产强度极大化，二是生产强度对系统参数不确定性的灵敏度的极小化。讨论了非线性动力系统及其伴随动力系统的一些重要性质，证明了最优控制的存在性，并构造算法进行了数值求解。In this paper, taking the microbial continuous fermentation process as background, we discuss a class of optimal control problem of a nonlinear dynamical system with a set of scalar parameters which could have some uncertainty as to their exact values. Two factors are considered: one is maximizing the productivity, the other is minimizing the sensitivity of the productivity with respect to the uncertainty of the parameters. Some important properties of the nonlinear dynamical system and its adjoint system, and the existence of the optimal control are also proved. Numerical algorithm and results are given at the end.