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Optimal Control of Switched Systems Arising in Fermentation Processes pp 123–142Cite as

Optimal Parameter Selection of Multistage Time-Delay Systems

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 97))

Abstract

In this chapter, we propose a multistage time-delay system to model the fed-batch fermentation. Then, due to the effect of time delay and the high number of the kinetic parameters in the system, parametric sensitivity analysis is used to determine the key parameters. On this basis, an optimal parameter selection model involving the multistage time-delay system is presented. A numerical algorithm is developed to seek the optimal key parameters. Numerical results show that the proposed multistage time-delay system can describe the fed-batch fermentation process reasonably.

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Authors and Affiliations

  1. Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai, Shandong, China

    Chongyang Liu & Zhaohua Gong

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  1. Chongyang Liu
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  2. Zhaohua Gong
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© 2014 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg

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Liu, C., Gong, Z. (2014). Optimal Parameter Selection of Multistage Time-Delay Systems. In: Optimal Control of Switched Systems Arising in Fermentation Processes. Springer Optimization and Its Applications, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43793-3_9

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