scholarly journals Optimal control for nonlinear dynamical system of microbial fed-batch culture

2009 ◽  
Vol 232 (2) ◽  
pp. 252-261 ◽  
Author(s):  
Chongyang Liu
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Batch Culture ◽  
Nonlinear Dynamical System ◽  
Fed Batch ◽  
Nonlinear Dynamical ◽  
Fed Batch Culture

scholarly journals Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture

2009 ◽  
Vol 5 (4) ◽  
pp. 835-850 ◽  
Author(s):  
Chongyang Liu ◽  
◽  
Zhaohua Gong ◽  
Enmin Feng ◽  
Hongchao Yin ◽  
...  
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Batch Culture ◽  
Fed Batch ◽  
Fed Batch Culture

Modelling and optimal control for an impulsive dynamical system in microbial fed-batch culture

2013 ◽  
Vol 32 (2) ◽  
pp. 275-290 ◽  
Author(s):  
Jinggui Gao ◽  
Banyu Shen ◽  
Enmin Feng ◽  
Zhilong Xiu
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Batch Culture ◽  
Fed Batch ◽  
Fed Batch Culture

Automatic Control Design for Optimal Strategy in Fed-batch Culture with Coupled Feed of Glycerol and Alkali

2010 ◽  
Vol 8 (1) ◽  
Author(s):  
Shan Jiang ◽  
Jianxiong Ye ◽  
Enmin Feng ◽  
Zhilong Xiu
Keyword(s):  
Control System ◽  
Automatic Control ◽  
Batch Culture ◽  
Feeding Strategy ◽  
Nonlinear Dynamical System ◽  
Control Design ◽  
Fed Batch ◽  
Multi Stage ◽  
Fed Batch Culture ◽  
Monitored Control System

In this paper, we study the production of 1,3-propanediol in fed-batch culture with coupled feed of glycerol and alkali. On the basis of the numerical solution to an optimal control problem subjected to a multi-stage nonlinear dynamical system, we propose a realizable optimal feeding strategy. Correspondingly, an automatic control system is designed for the fermenter, which involves the designs of control circuit, software flow control and computer monitored control system. This contribution successfully achieves a goal of combining a mathematically theoretical analysis with an automatic control design in the laboratory.

scholarly journals An Efficient Pseudospectral Method for Solving a Class of Nonlinear Optimal Control Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Emran Tohidi ◽  
Atena Pasban ◽  
A. Kilicman ◽  
S. Lotfi Noghabi
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Optimal Control Problems ◽  
Nonlinear Dynamical System ◽  
Pseudospectral Method ◽  
Integral Form ◽  
Quadrature Rule ◽  
Nonlinear Optimal Control ◽  
Control Problems ◽  
Nonlinear Dynamical

This paper gives a robust pseudospectral scheme for solving a class of nonlinear optimal control problems (OCPs) governed by differential inclusions. The basic idea includes two major stages. At the first stage, we linearize the nonlinear dynamical system by an interesting technique which is called linear combination property of intervals. After this stage, the linearized dynamical system is transformed into a multi domain dynamical system via computational interval partitioning. Moreover, the integral form of this multidomain dynamical system is considered. Collocating these constraints at the Legendre Gauss Lobatto (LGL) points together with using the Legendre Gauss Lobatto quadrature rule for approximating the involved integrals enables us to transform the basic OCPs into the associated nonlinear programming problems (NLPs). In all parts of this procedure, the associated control and state functions are approximated by piecewise constants and piecewise polynomials, respectively. An illustrative example is provided for confirming the accuracy and applicability of the proposed idea.

scholarly journals Optimal control of microbial fed-batch culture involving multiple feeds

2015 ◽  
Vol 5 (4) ◽  
pp. 339-349
Author(s):  
Jinggui Gao ◽  
◽  
Xiaoyan Zhao ◽  
Jinggang Zhai
Keyword(s):  
Optimal Control ◽  
Batch Culture ◽  
Fed Batch ◽  
Fed Batch Culture
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