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Optimal Control 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 consider optimal control of multistage time-delay system arising in fed-batch fermentation. In the optimal control model, the feeding rate of glycerol as well as the terminal time is taken as the control function. By using a time-scaling transformation, we equivalently transcribe the optimal control problem with free terminal time into the one with fixed terminal time. A computational approach based on control parameterization method is developed to solve the transformed optimal control problem. Numerical results show the effectiveness of the developed approach.

Suggested Citation

  • Chongyang Liu & Zhaohua Gong, 2014. "Optimal Control 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 143-158, Springer.
    • Handle: RePEc:spr:spochp:978-3-662-43793-3_10
    DOI: 10.1007/978-3-662-43793-3_10
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