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Language: English

Conflict of Interest: In relation to this article, we declare that there is no conflict of interest.

Publication history: Received April 18, 2011
Accepted October 3, 2011

This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Degrees of freedom analysis and parameter optimization of state feedback of first-order affine singular control for bioprocess systems

Sung Hoon Kim Byung Man Lee Seul Ki Min Sang-Myung Jung Chungwhan Shin Hwa Sung Shin^†

Department of Biological Engineering, Inha University, Incheon 402-751, Korea

hsshin@inha.ac.kr

Korean Journal of Chemical Engineering, July 2012, 29(7), 851-854(4), 10.1007/s11814-011-0256-5

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Abstract

The state feedback optimization of first-order affine nonlinear singular control systems is formulated as a time-invariant parameter optimization problem. Degrees of freedom (DF) is applied to the differential balance equations with initial control or its time derivatives and switching times as parameters, and uncovered that the state feedback optimization problem has -2 DF, clarifying admissible singular control structures. Using these two novel concepts, we considered end-point optimization problems in fed-batch fermentation problem to illustrate the state feedback optimization of the feed flow rate.

Keywords

State Feedback Singular Control Degrees of Freedom Optimization Bioprocess

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