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Paper

Gain-scheduled control of time-varying delay systems with input constraint

Release time:2019-07-01 Hits:
Indexed by: 期刊论文
First Author: Wang, Lei
Correspondence Author: Wu, CZ (reprint author), Curtin Univ, Sch Built Environm, Australasian Joint Res Ctr Bldg Informat Modellin, Perth, WA 6845, Australia.
Co-author: Yuan, Jinlong,Wu, Changzhi,Wang, Xiangyu
Date of Publication: 2019-04-01
Journal: OPTIMIZATION LETTERS
Included Journals: SCIE、CPCI-S、EI
Document Type: J
Volume: 13
Issue: 3,SI
Page Number: 527-541
ISSN No.: 1862-4472
Key Words: Stochastic optimal control; Microbial fermentation; Practical algorithm
Abstract: How to add glycerol to maximize production of 1,3-propanediol (1,3-PD) is a critical problem in process control of microbial fermentation. Most of the existing works are focusing on modelling this process through deterministic-based differential equations. However, this process is not deterministic, but intrinsically stochastic considering nature of interference. Thus, it is of importance to consider stochastic microorganism. In this paper, we will modelling this process through stochastic differential equations and maximizing production of 1,3-PD is formulated as an optimal control problem subject to continuous state constraints and stochastic disturbances. A modified particle swarm algorithm through integrating the hybrid Monte Carlo sampling and path integral is proposed to solve this problem. The constraint transcription, local smoothing and time-scaling transformation are introduced to handle the continuous state constraints. Numerical results show that, by employing the obtained optimal control governed by stochastic dynamical system, 1,3-PD concentration at the terminal time can be increased compared with the previous results.
Translation or Not: no