Skip to main content
SpringerLink
Log in

Degrees of freedom analysis and parameter optimization of state feedback of first-order affine singular control for bioprocess systems

  • Process Systems Engineering, Process Safety
  • Published:
Korean Journal of Chemical Engineering Aims and scope Submit manuscript

Abstract

The state feedback optimization of first-order affine nonlinear singular control systems is formulated as a time-invariant parameter optimization problem. Degrees of freedom (DF) is applied to the differential balance equations with initial control or its time derivatives and switching times as parameters, and uncovered that the state feedback optimization problem has −2 DF, clarifying admissible singular control structures. Using these two novel concepts, we considered end-point optimization problems in fed-batch fermentation problem to illustrate the state feedback optimization of the feed flow rate.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. E. Bryson and Y. C. Ho, Applied optimal control, Wiley, New York (1975).

    Google Scholar 

  2. R. M. Lewis, Siam J. Control Optim., 18, 21 (1980).

    Article  Google Scholar 

  3. H. S. Shin and H. C. Lim, Ind. Eng. Chem. Res., 46, 2526 (2007).

    Article  CAS  Google Scholar 

  4. H. S. Shin and H. C. Lim, Biochem. Eng. J., 37, 62 (2007).

    Article  CAS  Google Scholar 

  5. K.Y. San and G. Stephanopoulos, Biotechnol. Bioeng., 34, 72 (1989).

    Article  CAS  Google Scholar 

  6. S. Palanki, J. C. Cockburn and S. N. Kolavennu, J. Process Contr., 13, 623 (2003).

    Article  CAS  Google Scholar 

  7. H. S. Shin and H. C. Lim, Ind. Eng. Chem. Res., 45, 6227 (2006).

    Article  CAS  Google Scholar 

  8. J.M. Modak and H. C. Lim, Biotechnol. Bioeng., 30, 528 (1987).

    Article  CAS  Google Scholar 

  9. R. K. Bajpai and M. Reuss, Biotechnol. Bioeng., 23, 717 (1981).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Biological Engineering, Inha University, Incheon, 402-751, Korea

    Sung Hoon Kim, Byung Man Lee, Seul Ki Min, Sang-Myung Jung, Chungwhan Shin & Hwa Sung Shin

Authors
  1. Sung Hoon Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Byung Man Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Seul Ki Min
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Sang-Myung Jung
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Chungwhan Shin
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Hwa Sung Shin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hwa Sung Shin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, S.H., Lee, B.M., Min, S.K. et al. Degrees of freedom analysis and parameter optimization of state feedback of first-order affine singular control for bioprocess systems. Korean J. Chem. Eng. 29, 851–854 (2012). https://doi.org/10.1007/s11814-011-0256-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11814-011-0256-5

Key words

Search

Navigation