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Optimal Parameter Selection of Multistage Time-Delay Systems

In: Optimal Control of Switched Systems Arising in Fermentation Processes

Author

Listed:
  • Chongyang Liu

    (Shandong Institute of Business and Technology)

  • Zhaohua Gong

    (Shandong Institute of Business and Technology)

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.

Suggested Citation

  • Chongyang Liu & Zhaohua Gong, 2014. "Optimal Parameter Selection of Multistage Time-Delay Systems," Springer Optimization and Its Applications, in: Optimal Control of Switched Systems Arising in Fermentation Processes, edition 127, chapter 0, pages 123-142, Springer.
    • Handle: RePEc:spr:spochp:978-3-662-43793-3_9
    DOI: 10.1007/978-3-662-43793-3_9
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