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Optimal Control

In: Nonlinear Optimization Applications Using the GAMS Technology

Author

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  • Neculai Andrei

    (National Research Institute for Informatics
    Academy of Romanian Scientists)

Abstract

Often, optimal control problems arise in many different fields from engineering, economics and science. Usually these problems are solved by methods and techniques from optimal control theory (Kirk 1970; Alekseev et al. 1987; Bertsekas 2007). In this chapter we present a number of eight applications expressed as optimal control problems. Examples include: optimal control of a fed-batch fermenter for penicillin production, optimal control of a fed-batch bioreactor for production of ethanol, optimal control of a batch reactor, optimal control of van der Pol oscillator, optimal production of secreted protein in a fed-batch reactor, as well as the optimal control of a nonlinear dynamic system with boundary constraints, or optimal control of a linear lumped parameter system. For all these applications we present both the mathematical model and its representation in GAMS technology.

Suggested Citation

  • Neculai Andrei, 2013. "Optimal Control," Springer Optimization and Its Applications, in: Nonlinear Optimization Applications Using the GAMS Technology, edition 127, chapter 0, pages 287-322, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-6797-7_12
    DOI: 10.1007/978-1-4614-6797-7_12
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