Journal
APPLIED MATHEMATICAL MODELLING
Volume 111, Issue -, Pages 160-175Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2022.06.032
Keywords
Nonlinear impulsive time -delay system; Parameter identification; Numerical optimization; Fed -batch fermentation
Funding
- National Natural Science Foundation of China [11771008]
- Natural Science Foundation of Shandong Province, China [ZR2019MA031]
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This study presents a nonlinear impulsive time-delay system to describe the fed-batch culture in microbial 1,3-propanediol production, discusses important properties of the solution, and proposes a robust parameter identification model and solution. Numerical results indicate that both the system and algorithm perform well.
In this paper, taking the feeding process as an impulsive form and considering the timedelay in fermentation process, we propose a nonlinear impulsive time-delay system to formulate the fed-batch culture in microbial 1,3-propanediol production. For this system, we discuss some important properties of the solution. To determine the optimal time-delay and kinetic parameters in the system, we then present a robust parameter identification model subject to continuous state inequality constraints. By the constraint transcription technique and a penalty method, we transform the robust parameter identification problem to a sequence of optimization problems with only box constraints. On this basis, we propose a parallel Particle Swarm Optimization algorithm to solve the resulting problem. Finally, the numerical results show that the impulsive time-delay system can well describe the fed-batch process and the developed algorithm is highly effective. (c) 2022 Elsevier Inc. All rights reserved.
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