Stochastic maximum principle for mean-field type singular optimal control problem with discounted cost

2019 ◽  
Vol 5 (4) ◽  
pp. 235
Author(s):  
Deepa Ravi ◽  
Muthukumar Palanisamy
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Mean Field ◽  
Stochastic Maximum Principle ◽  
Singular Optimal Control ◽  
Discounted Cost ◽  
Field Type ◽  
Singular Optimal Control Problem

scholarly journals Robust Multi-Objective Singular Optimal Control Ofpenicillin Fermentation Process

2020 ◽  
pp. 23-30
Author(s):  
Gustavo B. Libotte ◽  
Fran S. Lobato ◽  
Gustavo M. Platt ◽  
Francisco D. Moura Neto
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Fermentation Process ◽  
Singular Problem ◽  
Fed Batch ◽  
Control Variables ◽  
Singular Optimal Control ◽  
Multi Objective ◽  
Singular Optimal Control Problem

The determination of optimal feeding profile of fed-batch fermentation requires the solution of a singular optimal control problem. The complexity in obtaining the solution to this singular problem is due to the nonlinear dynamics of the system model, the presence of control variables in linear form and the existence of constraints in both the state and control variables. Traditionally, during the optimization process, uncertainties associated with design variables, control parameters and mathematical model are not considered. In this contribution, a systematic methodology to evaluate uncertainties during the resolution of a singular optimal control problem is proposed. This approach consists of the Multi-objective Optimization Differential Evolution algorithm associated with Effective Mean Concept. The proposed methodology is applied to determine the feed substrate concentration in fed-batch penicillin fermentation process. The robust multi- objective singular optimal control problem consists of maximizing the productivity and minimizing the operation total time.

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