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Nonlinear PI controllers for continuous bioreactors using population balance models

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Abstract

Continuous bioreactors are critical unit operations in many biological systems, but the unique modeling is very complicated due to the underlying biochemical reactions and the distributed properties of cell population. The scope of this paper considers a popular modeling method for microbial cell cultures by population balance equation models, and the control objective aims to attenuate undesired oscillations appeared in the nonlinear distributed parameter system. In view of pursuing the popular/practical control configuration and the lack of on-line sensors, an approximate technique by exploiting the “pseudo-steady-state” approach constructs a simple nonlinear control model. Through an off-line estimation mechanism for the system having self-oscillating behavior, two kinds of nonlinear PI configurations are developed. Closed-loop simulation results have confirmed that the regulatory and tracking performances of the control system proposed are good.

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Acknowledgements

Part of figures was provided by Mr Chao-Wei Chen. This work was supported by the National Science Council of Republic of China under grant number NSC-93-2214-E-224-002.

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Authors and Affiliations

  1. Department of Chemical Engineering, National Yunlin University of Science and Technology, Touliu, Yunlin 640, Taiwan, ROC

    Wei Wu & Haw-Yuan Chang

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  1. Wei Wu
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  2. Haw-Yuan Chang
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Correspondence to Wei Wu.

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Wu, W., Chang, HY. Nonlinear PI controllers for continuous bioreactors using population balance models. Bioprocess Biosyst Eng 28, 63–70 (2005). https://doi.org/10.1007/s00449-005-0022-3

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  • DOI: https://doi.org/10.1007/s00449-005-0022-3

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