Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-04-01

Journal: PACIFIC JOURNAL OF OPTIMIZATION

Included Journals: SCIE

Volume: 12

Issue: 2,SI

Page Number: 437-449

ISSN: 1348-9151

Key Words: batch culture; optimal control; multistage nonlinear dynamical system; swarm intelligence algorithm

Abstract: We propose an optimal control formulation of the batch culture of glycerol bio-dissimilation to 1,3-propanediol (1,3-PD) in industrial production, a gradient-based optimization algorithm is developed to solve the problem. Since the algorithm needs to solve state and costate differential equations simultaneously, and the solution may be trapped at a local one, in this paper, based on the theory of swarm intelligence algorithm, together with the time-scaling transformation and smoothing technique, we propose a modified particle swarm algorithm to solve the optimal control problem. Numerical results show that by employing the optimal control strategy, the concentration of 1,3-PD at the terminal time is higher compared with the previous results.