Skip to main content
SpringerLink
Log in
Book cover

Nonlinear Model Based Process Control pp 143–171Cite as

Nonlinear Model-Algorithmic Control: A Review and New Developments

  • Chapter

Part of the book series: NATO ASI Series ((NSSE,volume 353))

Abstract

This paper presents “a review of Nonlinear Model-Algorithmic Control (MAC), and introduces a new generalized formulation, which incorporates nonminimum-phase compensation. In addition, new nonlinear multirate Model-Algorithmic Control methods are developed. The handling of input constraints within a MAC framework is also discussed. Several chemical engineering examples illustrate the methods throughout the paper.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

5. References

  1. Araki, M., and T. Hagiwara (1986) Pole Assignment by Multirate Sampled-Data Output Feedback, Int. J. Control, 44, 1661–1673.

    Article  Google Scholar 

  2. Araki, M., and K. Yamamoto (1986) Multivariable Multirate Sampled-Data Systems: State-Space Description, Transfer Characteristics, and Nyquist Criterion, IEEE Trans. Autom. Contr., AC-31, 145–154.

    Article  Google Scholar 

  3. Bequette, B. W. (1991) Nonlinear Predictive Control Using Multi-Rate Sampling, Can. J. of Chem. Eng., 69, 136–143.

    Article  CAS  Google Scholar 

  4. Engell, S., and K. U. Klatt (1993) Nonlinear Control of a Non-Minimum-Phase CSTR, Proc. ACC, 2341–2945.

    Google Scholar 

  5. Garcia, C. E., and M. Morari (1982) Internal Model Control: 1. A Unifying Review and Some New Results, Ind. Eng. Chem. Process Des. Dev., 21, 308–323.

    Article  CAS  Google Scholar 

  6. Hagiwara, T., and M. Araki (1988) Design of a Stable State Feedback Controller Based on the Multirate Sampling of the Plant Output, IEEE Trans. Autom. Contr., 33, 812–819.

    Article  Google Scholar 

  7. Kazantzis, N., and C. Kravaris (1997) System-Theoretic Properties of Sampled-Data Representations of Nonlinear Systems Obtained via Taylor-Lie Series, Int. J. Control, 67, 997–1020.

    Article  Google Scholar 

  8. Kravaris, C., and P. Daoutidis (1990) Nonlinear State Feedback Control of Second-Order Nonminimum-Phase Nonlinear Systems, Comput. Chem. Engng., 14, 439–449.

    Article  CAS  Google Scholar 

  9. Kravaris, C., M. Niemiec, R. Berber, and C. Brosilow (1998) Nonlinear Model-Based Control of Nonminimum-Phase Processes, in R. Berber and C. Kravaris (eds.), Nonlinear Model Based Process Control, Kluwer Academic Publishers, Dordecht.

    Google Scholar 

  10. Lee, J. H., M. Gelormino, and M. Morari (1992) Model Predictive Control of Multi-Rate Sampled-Data Sytems: A State-Space Approach, Int. J. Control, 55, 153–191.

    Article  Google Scholar 

  11. Mehra, R. K., and R. Rouhani (1980) Theoretical Considerations on Model Algorithmic Control for Nonminimum Phase Systems, Proc. ACC, TA8-B.

    Google Scholar 

  12. Mehra, R. K., R. Rouhani, and R. Praly (1980) New Theoretical Developments in Multivariable Predictive Algorithmic Control, Proc. ACC, FA9-B.

    Google Scholar 

  13. Ohshima, M., I. Hashimoto, H. Ohno, M. Takeda, T. Yoneyama, and F. Gotoh (1994) Multirate Multivariable Model Predictive Control and its Application to a Polymerization Reactor, Int. J. Control, 59, 731–742.

    Article  Google Scholar 

  14. Richalet, J., A. Rault, J. L. Testud, and J. Papon (1978) Model Predictive Heuristic Control: Application to Industrial Processes, Automatica, 14, 413–428.

    Article  Google Scholar 

  15. Soroush, M., and C. Kravaris (1992) Discrete-Time Nonlinear Controller Synthesis by Input/Output Linearization, AIChE J., 38, 1923–1945.

    Article  CAS  Google Scholar 

  16. Soroush, M., and C. Kravaris (1993) Multivariable Nonlinear Control of a Continuous Polymerization Reactor: An Experimental Study, AIChE J., 39, 1920–1931.

    Article  CAS  Google Scholar 

  17. Soroush, M., and C. Kravaris (1996) Discrete-Time Nonlinear Feedback Control of Multivariable Processes, AIChE J., 42, 187–203.

    Article  CAS  Google Scholar 

  18. Soroush, M., and C. Kravaris (1996) MPC Formulation of GLC, AIChEJ., 42, 2377–2381.

    Article  CAS  Google Scholar 

  19. van de Vusse, J. G. (1964) Plug-flow type Reactor Versus Tank Reactor, Chem. Eng. Sci., 19, 994–998.

    Article  Google Scholar 

  20. Wright, A. R., and C. Kravaris (1992) Nonminimum-Phase Compensation for Nonlinear Processes, AIChE J., 38, 26–40.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Chemical Engineering, The University of Michigan, Ann Arbor, Michigan, 48109-2136, USA

    Michael Niemiec & Costas Kravaris

Authors
  1. Michael Niemiec
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Costas Kravaris
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Ankara University, Tandoğan, Ankara, Turkey

    Ridvan Berber

  2. Department of Chemical Engineering, The University of Michigan, Ann Arbor, Michigan, USA

    Costas Kravaris

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Niemiec, M., Kravaris, C. (1998). Nonlinear Model-Algorithmic Control: A Review and New Developments. In: Berber, R., Kravaris, C. (eds) Nonlinear Model Based Process Control. NATO ASI Series, vol 353. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5094-1_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5094-1_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6140-7

  • Online ISBN: 978-94-011-5094-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation