Practical algorithm for stochastic optimal control problem about microbial fermentation in batch culture
MetadataShow full item record
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.
Showing items related by title, author, creator and subject.
Sharifzadeh, Mostafa; Javadi, M. (2017)© 2017 Taylor & Francis Group, London, UK. The hydraulic behavior and associated mechanical, physical, and chemical processes of geological formations and rock masses are one of the most important aspects of rock ...
Hamilton-Jacobi Equation for Optimal Control of Nonlinear Stochastic Distributed Parameter Systems Applied to Air Pollution ProcessDo, Khac Duc (2014)This paper derives Hamilton-Jacobi equation (HJE) in Hilbert space foroptimal control of stochastic distributed parameter systems (SDPSs) governedby partial differential equations (SPDEs) subject to both state-dependent ...
Design exploration with stochastic models of variation: Comparing two examples from facade subdivisionDatta, Sambit (2013)The imitation of natural processes in architectural design is a long-standing area of research in computational design. The approach of “directed randomness” permits the stochastic exploration of a vast space of design ...