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Optimal Control

Neculai Andrei
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Neculai Andrei: National Research Institute for Informatics

Chapter Chapter 12 in Nonlinear Optimization Applications Using the GAMS Technology, 2013, pp 287-322 from Springer

Abstract: 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.

Keywords: Optimal Control Problem; Batch Reactor; Euler Method; Penicillin Production; Forward Euler Method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-6797-7_12

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DOI: 10.1007/978-1-4614-6797-7_12

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