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μ-Synthesis of dissimilation process of glycerol to 1,3-propanediol in microbial continuous culture

Abstract

In this paper, robust control problem using μ-synthesis in microbial continuous culture is studied. The dissimilation process of glycerol to 1,3-propanediol cannot avoid the disturbances caused by uncertain factors. Based on the biodynamical model, a control system with the initial glycerol concentration as input control is proposed to simplify the controller design. μ-synthesis method is applied to find a feedback controller to assure both of robust stability and robust performance of the closed-loop system simultaneously. To solve the corresponding structured singular value optimization problem, a converged result is obtained through D–K iteration method. The μ-synthesis system is also compared with the corresponding \(H_\infty\) system. The simulation results indicate that the μ-controller might be more feasible for the continuous bioprocess controlling.

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Acknowledgments

This work was supported by the 863 Program (Grant No. 2012AA021202–3), the 973 Program (Grant No. 2007CB714304), the Fundamental Research Funds for the Central Universities (No. DUT12LK27), the National Natural Science Foundation of China (Grant Nos. 11171050 and 10871033).

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Correspondence to Xi Zhu.

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Zhu, X., Yuan, J., Wang, X. et al. μ-Synthesis of dissimilation process of glycerol to 1,3-propanediol in microbial continuous culture. World J Microbiol Biotechnol 30, 767–775 (2014). https://doi.org/10.1007/s11274-013-1505-z

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Keywords

  • Continuous cultures
  • Nonlinear system
  • Robust control
  • μ-Synthesis