Optimal control for multistage nonlinear dynamic system of microbial bioconversion in batch culture

Journal of Applied Mathematics

Volumn 2011, Issue , 2011, Pages

  Wang, Lei ^a   Xiu, Zhilong ^a   Zhang, Yuduo ^a   Feng, Enmin ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052571969     PISSN: 1110757X     EISSN: 16870042     Source Type: Journal    
DOI: 10.1155/2011/624516     Document Type: Article

References (24)

1. Zeng A. P., Biebl H., Schlieker H., Pathway analysis of glycerol fermentation by K. pneumoniae: regulation of reducing equivalent balance and product formation Enzyme and Microbial Technology 1993 15 770 779 (Pubitemid 23257954)
2. Xiu Z. L., Research progress on the production of 1,3-propanediol by fermentation Microbiology 2000 27 300 302
3. Zeng A. P., Biebl H., Bulk chemicals from biotechnology: the case of 1,3-propanediol production and the new trends Advances in Biochemical Engineering/Biotechnology 2002 74 239 259
4. Zeng A. P., Menzel K., Deckwer W. D., Kinetic, dynamic, and pathway studies of glycerol metabolism by Klebsiella pneumoniae in anaerobic continuous culture: II. Analysis of metabolic rates and pathways under oscillation and steady-state conditions Biotechnology and Bioengineering 1996 52 561 571 (Pubitemid 26376638)
5. Ye J. X., Feng E. M., Yin H. C., Xiu Z. L., Modelling and well-posedness of a nonlinear hybrid system in fed-batch production of 1,3-propanediol with open loop glycerol input and pH logic control Nonlinear Analysis. Real World Applications 2011 12 1 364 376
6. Sun Y. Q., Qi W. T., Teng H., Xiu Z. L., Zeng A. P., Mathematical modeling of glycerol fermentation by Klebsiella pneumoniae: concerning enzyme-catalytic reductive pathway and transport of glycerol and 1,3-propanediol across cell membrane Biochemical Engineering Journal 2008 38 1 22 32 (Pubitemid 350216533)
7. Wang L., Xiu Z. L., Gong Z. H., Feng E. M., Modeling and parameter identification for multistage simulation of microbial bioconversion in batch culture. International Journal of Biomathematics. In press
8. Tian Y., Sun K. B., Kasperski A., Chen L. S., Nonlinear modelling and qualitative analysis of a real chemostat with pulse feeding Discrete Dynamics in Nature and Society 2010 2010 18
9. Gao C., Feng E. M., Wang Z. T., Xiu Z. L., Nonlinear dynamical systems of bio-dissimilation of glycerol to 1,3-propanediol and their optimal controls Journal of Industrial and Management Optimization 2005 1 3 377 388
10. Wang G., Feng E. M., Xiu Z. L., Vector measure as controls for explicit nonlinear impulsive system of fed-batch culture Journal of Mathematical Analysis and Applications 2009 351 1 120 127
11. Wang H. Y., Feng E. M., Xiu Z. L., Optimality condition of the nonlinear impulsive system in fed-batch fermentation Nonlinear Analysis. Theory, Methods Applications 2008 68 1 12 23
12. Gtinzel B., Mikrobielle herstellung von 1,3-propandiol durch clostridium butyricum und adsorptive abtremutng von diolen, Ph.D. thesis 1991 Germany TU Braunschweig
13. Gao C., Parameter identification and optimization of process for bio-dissimilation of glycerol to 1, 3-propanediol in batch culture Journal of Dalian University of Technology 2006 46 5 771 774 (Pubitemid 44918785)
14. Li X. H., Feng E. M., Xiu Z. L., Optimal control and property of nonlinear dynamic system for microorganism in batch culture OR Transaction 2005 9 4 67 79
15. Wang J., Ye J. X., Feng E. M., Yin H. C., Xiu Z. L., Modeling and identification of a nonlinear hybrid dynamical system in batch fermentation of glycerol Mathematical and Computer Modelling 2011 54 1-2 618 624
16. Wang L., Ye J. X., Feng E. M., Xiu Z. L., An improved model for multistage simulation of glycerol fermentation in batch culture and its parameter identification Nonlinear Analysis. Hybrid Systems 2009 3 4 455 462
17. Hsieh P.-F., Sibuya Y., Basic Theory of Ordinary Differential Equations 1999 New York, NY, USA Springer xii+468
18. Teo K. L., Goh C. J., Wong K. H., A Unified Computational Approach to Optimal Control Problems 1991 55 Harlow, UK Longman Scientific Technical x+329
19. Liu C. Y., Gong Zhaohua, Feng E. M., Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture Journal of Industrial and Management Optimization 2009 5 4 835 850
20. Liu C. Y., Feng E. M., Optimal control of switched autonomous systems in microbial fed-batch cultures International Journal of Computer Mathematics 2011 88 2 396 407
21. Teo K. L., Rehbock V., Jennings L. S., A new computational algorithm for functional inequality constrained optimization problems Automatica 1993 29 3 789 792
22. Lin Q., Loxton R. C., Teo K. L., Wu Y. H., A new computational method for optimizing nonlinear impulsive systems Dynamics of Continuous, Discrete Impulsive Systems. Series B 2011 18 1 59 76
23. Loxton R. C., Teo K. L., Rehbock V., Optimal control problems with multiple characteristic time points in the objective and constraints Automatica 2008 44 11 2923 2929
24. Polak E., Optimization 1997 124 New York, NY, USA Springer xx+779 Applied Mathematical Sciences