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Research Article
Generalized hybrid control synthesis for affine systems using sequential adaptive networks
Article first published online: 27 OCT 2009
DOI: 10.1002/jctb.2268
Copyright © 2009 Society of Chemical Industry
1097-4660/asset/cover.gif?v=1&s=abd1256daccee8e5687b5edb17b0359d71c05b1d "Journal of Chemical Technology and Biotechnology")
Additional Information
How to Cite
Nayak, R. and Gomes, J. (2010), Generalized hybrid control synthesis for affine systems using sequential adaptive networks. J. Chem. Technol. Biotechnol., 85: 59–76. doi: 10.1002/jctb.2268
Publication History
- Issue published online: 1 DEC 2009
- Article first published online: 27 OCT 2009
- Manuscript Accepted: 15 AUG 2009
- Manuscript Revised: 31 JUL 2009
- Manuscript Received: 14 APR 2009
Keywords:
- sequential adaptive network;
- affine system;
- neural network;
- hybrid control;
- methionine production;
- fed-batch bioreactor;
- ensemble of networks
Abstract
BACKGROUND: A generalized methodology for the synthesis of a hybrid controller for affine systems using sequential adaptive networks (SAN) is presented. SAN consists of an assembly of neural networks that are ordered in a chronological sequence, with one network assigned to each sampling interval. Using a suitable process model based on oxygen metabolism and an a priori objective function, a hybrid control law is derived that can use online measurements and the states predicted by SAN for computing the desired control action.
RESULTS: The performance of the SAN–hybrid controller is tested for simulated fed-batch production of methionine for three different process conditions. Simulations assume that online measurements of dissolved oxygen (DO) concentration are available. The performance of the SAN–hybrid controller gave an NRMSE of ∼10−4 in the absence of noise, ∼10−3 and ∼10−2 for ± 5% and ± 10% noise in the DO measurement and ∼10−2 for parameter uncertainty when compared with the ideal model prediction.
CONCLUSIONS: The observed performance for unmeasured state prediction and control implementation shows that the proposed SAN–hybrid controller can efficiently compute the manipulated variable required to maintain methionine production along the optimized trajectory for different conditions. The test results show that the SAN–hybrid controller can be used for online real-time implementation in fed-batch bioprocesses. Copyright © 2009 Society of Chemical Industry