Discrete optimal control model and bound error for microbial continuous fermentation

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 1, 2010, Pages 131-138

  Li, Xiaohong ^a   Guo, Jianjun ^a   Feng, Enmin ^b   Xiu, Zhilong ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY LIAONING   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Approximation error; Optimal control; Optimality function

Indexed keywords

APPROXIMATION ERROR; APPROXIMATION ERRORS; CONTINUOUS FERMENTATION; DISCRETE OPTIMAL CONTROL; NON-LINEAR DYNAMIC SYSTEMS; OPTIMAL ALGORITHM; OPTIMAL CONTROL; OPTIMAL CONTROL MODEL; OPTIMALITY FUNCTION; PROPANEDIOLS;

CONVERGENCE OF NUMERICAL METHODS; DYNAMICAL SYSTEMS; FERMENTATION; GLYCEROL;

OPTIMIZATION;

EID: 70449517502     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.10.043     Document Type: Article

References (14)

1. Zeng A.P., and Decker W.D. A kinetic model for substrate and energy consumption of microbial growth under substrate-sufficient conditions. Biotechnology Progress 11 (1995) 71-79
2. Menzel K., Zeng A.P., Bieblh, et al. Kinetic, dynamic, and pathway studies of glycerol metabolism by klebsiella pneumonia in anaerobic continuous culture: I. The phenomena and characterization of oscillations and hysteresis. Biotechnol. Bioeng. 52 (1996) 549-560
3. Zeng A.P., Menzel k., and Deckwer W.D. Kinetic, dynamic, and pathway studies of glycerol metabolism by klebsiellae pneumonia in anaerobic continuous culture: II. Analysis of metabolic rates and pathways under oscillation and steady-state conditions. Biotechnol. Bioeng. 52 (1996) 561-571
4. Xiu Z.L., Zeng A.P., and An L.J. Mathematical modelling of kinetics and research on multiplicity of glycerol bioconversion to 1,3-propanediol. Journal of Dalian University of Technology. 40 4 (2000) 428-433
5. Xiu Z., Zeng A., An L., and Deckwer W.D. Transient responses and mathematical modeling of Klebsiella pneumoniae to dilution rate and glycerol concentration step changes in continuous culture. Journal of Chemical Engineering of Chinese Universities 14 1 (2000) 53-58
6. Sun L., Song B., and Xiu Z. Study of dynamic behavior in culture of continuous cultivation of microorganisms. Journal of Dalian University of Technolgy 4 (2003) 433-437
7. Ma Y., Sun L., and Xiu Z. Theoretical analysis of oscillatory behavior in the process of microbial continuous culture. Journal of Engineering Mathematics 20 1 (2003) 1-6
8. Gao C., Li K., Feng E., Xiu Z., et al. Nonlinear impulsive system of fed-batch culture in fermentative production and its properties. Chaos Solitons & Fractals 28 1 (2006) 271-277
9. Xiu Z.-L., Song B.-H., Wang Z.-T., et al. Optimization for biodissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae in one- and two-stage continuous anaerobic cultures. Biochemical Engineering Journal 19 (2004) 189-197
10. Sun Y., Qi W., Teng H., Xiu Z., and Zeng A. 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 38 (2008) 22-32
11. Wang R., and Zhao J. Exponential stability analysis for discrete-time switched linear systems with time-delay. International Journal of Innovative Computing, Information and Control 3 6(B (2007) 1557-1564
12. Yao K. Computer robust control of discrete-time decentralized stochastic singularly perturbed systems. International Journal of Innovative Computing, Information and Control 4 7 (2008) 1771-1782
13. Li X., Feng E., and Xiu Z. Proposition and optimality condition of nonlinear dynamic system for microorganisms continuous culture. Chinese Journal of Engineering Mathematics 23 1 (2006) 7-12
14. Polak E. Optimization Algorithm and Consistent Approximations (1997), Springer, New York