scholarly journals Optimal Control of fed batch bioreactor

2021 ◽  
Vol 9 (5) ◽  
pp. 1-5
Author(s):  
Durgesh Bonde ◽  
Dr. Satish Inamdar
Keyword(s):  
Optimal Control ◽  
Optimal Policy ◽  
Initial Conditions ◽  
Batch Reactor ◽  
Optimal Solution ◽  
Control Policy ◽  
Reactor Operation ◽  
Fed Batch ◽  
Batch Bioreactor ◽  
Parameter Values

In this paper, we will consider the problem of optimal control of a fed batch reactor. Our objective is to simulate the fed batch reactor under specified conditions in order to find an optimal control policy. Thus, for any specified initial conditions and parameter values the optimal policy for reactor operation can be obtained from simulation. We have an example system of nosiheptide [1] and used gradient method to find optimal policy. Although the convergence is slow, an optimal solution is obtained and various plots are prepared that illustrate the applicability of the method well.

scholarly journals Optimal control of a fed-batch reactor with overflow metabolism

2020 ◽  
Vol 53 (2) ◽  
pp. 16820-16825
Author(s):  
Carlos Martínez ◽  
Jean-Luc Gouzé
Keyword(s):  
Optimal Control ◽  
Batch Reactor ◽  
Overflow Metabolism ◽  
Fed Batch

scholarly journals Optimal control for fermentative production of fructo-oligosaccharides in fed-batch bioreactor

2019 ◽  
Vol 78 ◽  
pp. 124-138 ◽  
Author(s):  
J. Schorsch ◽  
C.C. Castro ◽  
L.D. Couto ◽  
C. Nobre ◽  
M. Kinnaert
Keyword(s):  
Optimal Control ◽  
Fed Batch ◽  
Batch Bioreactor ◽  
Fermentative Production

scholarly journals An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jian-Ping Sun ◽  
Qiu-Yan Ren ◽  
Ya-Hong Zhao
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Time Scales ◽  
Dynamic Equation ◽  
Optimal Solution ◽  
Control Policy ◽  
Controlled System ◽  
First Order ◽  
Nonlinear Controlled System

In this paper, we are concerned with a class of optimal control problem governed by nonlinear first order dynamic equation on time scales. By imposing some suitable conditions on the related functions, for any given control policy, we first obtain the existence of a unique solution for the nonlinear controlled system. Then, we study the existence of an optimal solution for the optimal control problem.

Continuous Optimal Infeed Control for Cylindrical Plunge Grinding, Part 1: Methodology

2004 ◽  
Vol 126 (2) ◽  
pp. 327-333 ◽  
Author(s):  
Shaoqiang Dong ◽  
Kourosh Danai ◽  
Stephen Malkin ◽  
Abhijit Deshmukh
Keyword(s):  
Optimal Control ◽  
Dynamic Programming ◽  
Cycle Time ◽  
Optimal Policy ◽  
Controller Design ◽  
Control Policy ◽  
Active Constraint ◽  
Plunge Grinding ◽  
On Line ◽  
Sampling Instant

A new methodology is developed for optimal infeed control of cylindrical plunge grinding cycles. Unlike conventional cycles having a few sequential stages with discrete infeed rates, the new methodology allows for continuous variation of the infeed rate to further reduce the cycle time. Distinctive characteristics of optimal grinding cycles with variable infeed rates were investigated by applying dynamic programming to a simulation of the grinding cycle. The simulated optimal cycles were found to consist of distinct segments with predominant constraints. This provided the basis for an optimal control policy whereby the infeed rate is determined according to the active constraint at each segment of the cycle. Accordingly, the controller is designed to identify the state of the cycle at each sampling instant from on-line measurements of power and size, and to then compute the infeed rate according to the optimal policy associated with that state. The optimization policy is described in this paper, and the controller design and its implementation are presented in the following paper [1].

OPTIMAL POLICY FOR A PRODUCTION–INVENTORY SYSTEM WITH SETUP COST AND AVERAGE COST CRITERION

2012 ◽  
Vol 26 (4) ◽  
pp. 457-481 ◽  
Author(s):  
Xiuli Chao ◽  
Yifan Xu ◽  
Baimei Yang
Keyword(s):  
Optimal Control ◽  
Optimal Policy ◽  
Production Capacity ◽  
Control Policy ◽  
Inventory System ◽  
Setup Cost ◽  
Inventory Theory ◽  
Cost Rate ◽  
Production Inventory ◽  
Production Inventory System

One of the most fundamental results in inventory theory is the optimality of (s, S) policy for inventory systems with setup cost. This result is established under a key assumption of infinite ordering/production capacity. Several studies have shown that, when the ordering/production capacity is finite, the optimal policy for the inventory system with setup cost is very complicated and indeed, only partial characterization for the optimal policy is possible. In this paper, we consider a continuous review production/inventory system with finite capacity and setup cost. The demand follows a Poisson process and a demand that cannot be satisfied upon arrival is backlogged. We show that the optimal control policy has a very simple structure when the holding/shortage cost rate is quasi-convex. We also develop efficient algorithms to compute the optimal control parameters.

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