Optimization of Fermentation Processes with Singular Approximation and Minimum Principle

Singular Approximation과 Minimum Principle을 이용한 발효공정의 최적화

  • 이중헌 (생명공학연구소) ;
  • 정재철 (생명공학연구소) ;
  • 박영훈 (생명공학연구소)
  • Published : 1999.06.01


The two optimal control algorithms, singular approximation and minimum principle, were compared in this paper. The switching time with singular approximation was determined with mathematical derivation and the optimal control profile of specific growth rate was also calculated with minimum principle. The optimal control profiles were calculated by making simple model correlating the specific cell growth rate and specific product formation rate. The optimal control profiles calculated by singular approximation approach were similar to stepwise form of those calculatd by minimum principles. With the minimum principle, the product concentration was 8% more than that of singular approximation. This performance difference was due to a linearization of a nonlinear function with singular approximation. This optimal approaches were applicable to any system with different optimal cell growth and product formation.


optimization;singular approximation;minimum principle


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