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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：教务处副处长兼通识与基础教育中心主任
性别：男
毕业院校：大连理工大学
学位：博士
所在单位：数学科学学院
学科：运筹学与控制论
电子邮箱：wanglei@dlut.edu.cn
OPTIMALITY CONDITION AND OPTIMAL CONTROL FOR A TWO-STAGE NONLINEAR DYNAMICAL SYSTEM OF MICROBIAL BATCH CULTURE
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论文类型：期刊论文
发表时间：2018-01-01
发表刊物：PACIFIC JOURNAL OF OPTIMIZATION
收录刊物：SCIE
卷号：14
期号：1
页面范围：1-13
ISSN号：1348-9151
关键字：Batch culture; optimal control; optimality condition; two-stage system; N-M simplex search method
摘要：In this paper, we consider a two-stage dynamical system for describing batch culture in microbial fermentation. An optimal control problem involving the two-stage dynamical system is proposed. The yield intensity of 1, 3-propanediol (1,3-PD) is taken as the performance index, the initial concentration of biomass, glycerol and the terminal time are as the control variables. Then the optimality condition is obtained based on the properties of the two-stage dynamical system. Inspired by the conception of the Nelder-Mead simplex, we presented a modified Nelder-Mead simplex search method to solve the optimal control problem and the optimality condition is used as a convergence criterion of the algorithm. The numerical results show the conclusion of this paper.