Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

OPTIMAL CONTROL AND OPTIMIZATION ALGORITHM OF NONLINEAR IMPULSIVE DELAY SYSTEM PRODUCING 1,3-PROPANEDIOL

  • Li, Kezan (Department of Applied Mathematics, Dalian University of Technology) ;
  • Feng, Enmin (Department of Applied Mathematics, Dalian University of Technology) ;
  • Xiu, Zhilong (Department of Biotechnology, Dalian University of Technology)
  • Published : 2007.05.31

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Abstract

According to the controllability of pulse times and the amount of jumps in the states at these times in the process of fed-batch culture producing 1,3-propanediol, this paper proposes a terminal optimal control model, whose constraint condition is the nonlinear impulsive delay system. The existence of optimal control is discussed and an optimization algorithm which is applied to each subinternal over one cycle for this optimal control problem is constructed. Finally, the numerical simulations show that the terminal intensity of producing 1,3-propanediol has been increased obviously.

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