Variable structure NARX models: Application to dissolved-oxygen bioprocess

AIChE Journal

Volumn 45, Issue 9, 1999, Pages 2034-2045

  Sargantanis, Loannis G ^a   Karim, M N ^a  

^a Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIOCHEMICAL ENGINEERING; FERMENTATION; MATHEMATICAL MODELS; METABOLISM; ONLINE SYSTEMS; OXYGEN; PARAMETER ESTIMATION; REGRESSION ANALYSIS;

BACILLUS SUBTILIS; EXPONENTIAL WINDOWING ALGORITHM; NONLINEAR AUTOREGRESSIVE MODELS;

CHEMICAL VARIABLES CONTROL;

DISSOLVED OXYGEN;

ADAPTIVE CONTROL; BATCH PROCESS; DISSOLVED GAS; FERMENTATION; MATHEMATICAL MODELING; OXYGEN;

ARTICLE; BIOPROCESS; LINEAR SYSTEM; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PROCESS CONTROL; STRUCTURE ANALYSIS;

EID: 0033199513     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690450920     Document Type: Article

References (14)

1. Aguirre, L. A., and S. A. Billings, "Improved Structure Selection for Nonlinear Models Based on Term Clustering," Int. J. Control, 62, 569 (1995).
2. Akaike, II., "Statistical Predictor Identification," Ann. Stat. Math., 22, 203 (1970).
3. Billings, S. A., and S. Chen, "Extended Model Set, Global Data and Threshold Model Identification of Severely Non-Linear Systems," Int. J. Control, 50, 1897 (1989).
4. Chen, S., S. A. Billings, and W. Luo, "Orthogonal Least-Squares Methods and Their Application to Non-Linear System Identification," Int. J. Control, 50, 1873 (1989).
5. Golub, G. H., and C. F. Van Loan, Matrix computations, 2nd ed., The Johns Hopkins University Press, Baltimore, MD (1989).
6. Korenberg, M. J., S. A. Billings, Y. P. Liu, and P. J. McIIoy, "Orthogonal Parameter Estimation Algorithms for Non-Linear Stochastic Systems," Int. J. Control, 48, 193 (1989).
7. Lee, S. C., Y. B. Hwang, H. N. Chang, and Y. K. Chang, "Adaptive Control of Dissolved Oxygen Concentration in a Bioreactor," Biotechnol Bieong., 37, 597 (1991).
8. Leontaritis, I. J., and S. A. Billings, "Input-Output Parameter Models for Non-Linear Systems. Part 1: Deterministic Non-Linear Systems; Part 2: Stochastic Non-Linear Systems," Int. J. Control, 41, 303 (1985).
9. Ling, F., D. Manolakis, and J. G. Proakis, "A Recursive Modified Gram-Schmidt Algorithm for Least Squares Estimation," IEEE Trans. Acoust., Speech, Signal Processing, ASSP-34, 829 (1986).
10. Liu, Y. P., M. J. Korenberg, S. A. Billings, and M. B. Fadzil, "The Nonlinear Identification of a Heat Exchanger, IEEE Conf. on Decision and Control, Los Angeles (1987).
11. Luo, W., S. A. Billings, and K. M. Tsang, "On-Line Structure Detection and Parameter Estimation with Exponential Windowing for Nonlinear Systems," Tech. Rep. 503, Univ. of Sheffield, Sheffield, UK (1994).
12. Park, K., "Environmental Effects on Cell Metabolism and Recombinant Protein Production by Bacillus stibtilis," PhD Thesis, Colorado State Univ., Fort Collins (1993).
13. Pröll, T., and M. N. Karim, "Model-Predictive pH Control Using Real-Time NARX Approach/M/C/jE/, 40, 269 (1994).
14. Sargantanis, I. G., "Model Based Control with Variable Structure: Application to Dissolved Oxygen Control for /3-Iactamase Production," PhD Thesis, Colorado State University, Fort Collins (1996).