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Indexed by:期刊论文

Date of Publication:2018-01-01

Journal:PACIFIC JOURNAL OF OPTIMIZATION

Included Journals:SCIE

Volume:14

Issue:1

Page Number:1-13

ISSN No.:1348-9151

Key Words:Batch culture; optimal control; optimality condition; two-stage system; N-M simplex search method

Abstract: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.