Skip to main content

Advertisement

Springer Nature Link
Log in

A modified model predictive control scheme

  • Published:
International Journal of Automation and Computing Aims and scope Submit manuscript

Abstract

In implementations of MPC (Model Predictive Control) schemes, two issues need to be addressed. One is how to enlarge the stability region as much as possible. The other is how to guarantee stability when a computational time limitation exists. In this paper, a modified MPC scheme for constrained linear systems is described. An offline LMI-based iteration process is introduced to expand the stability region. At the same time, a database of feasible control sequences is generated offline so that stability can still be guaranteed in the case of computational time limitations. Simulation results illustrate the effectiveness of this new approach.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Explore related subjects

Discover the latest articles and news from researchers in related subjects, suggested using machine learning.

References

  1. D. W. Clarke, Advances in Model-based Predictive Control, Oxford University Press, 1994.

  2. J. M. Maciejowski, Predictive Control with Constraints, Prentice Hall, Personal Education Limited, 2002.

    Google Scholar 

  3. D. Q. Mayne, J. B. Rawlings, C. V. Rao, P. O. M. Scokaert, Survey Paper-Constrained model predictive control: Stability and optimality, Automatica, vol. 36, no. 6, pp. 789–814, 2000.

    Article  MathSciNet  Google Scholar 

  4. C. E. Garcia, D. M. Prett, M. Morar, Model Predictive Control: Theory and Practice-a Survey, Automatica, vol. 25, no. 3, pp. 335–348, 1989.

    Article  Google Scholar 

  5. R. R. Bitmead, M. Gevers, V. Wertz, Adaptive Optimal Control: The Thinking Man’s GPC, Prentice-Hall, New York, 1990.

    MATH  Google Scholar 

  6. J. A. Rossirer, J. R. Gossner, B. Kouvaritakis, Infinite horizon stable predictive control, IEEE Trans. Autom. Control, vol. 41, no. 10, pp. 1522–1527, 1996.

    Article  Google Scholar 

  7. E. Mosca, J. Zheng, Stable receding of predictive control, Automatica, vol. 28, no. 6, pp. 1229–1233, 1992.

    Article  MathSciNet  Google Scholar 

  8. H. Demircioglu, D. W. Clarke, CGPC with guaranteed stability properties, Proc. IEEE., vol. 139, no. 4, pp. 371–380, 1992.

    Google Scholar 

  9. Y. I. Lee, B. Kouvaritakis, Stabilizable regions of receding horizon predictive control with input constraints, System & Control Letters, vol. 38, no. 1, pp. 13–20, 1999.

    Article  MathSciNet  Google Scholar 

  10. J. W. Lee, W. H. Kwon, J. Choi, On stability of constrained receding horizon control with finite terminal weighting matrix, Automatica, vol. 34, no. 12, pp. 1607–1612, 1998.

    Article  Google Scholar 

  11. J. W. Lee, Exponential stability of constrained receding horizon control with terminal ellipsoid constraints, IEEE Trans. Autom. Control, vol. 45, no. 1, pp. 83–88, 2000.

    Article  Google Scholar 

  12. J. B. Rawlings, K. R. Muske, The stability of constrained receding horizon control, IEEE Trans. Autom. Control, vol. 38, no. 10, pp. 1512–1516, 1993.

    Article  MathSciNet  Google Scholar 

  13. A. Bemporad, A predictive controller with artificial Lyapunov function for linear systems with input/state constraints, Automatica, vol. 34, no. 10, pp. 1255–1260, 1998.

    Article  MathSciNet  Google Scholar 

  14. M. Sznaier, M. J. Damborg, Heuristically enhanced feedback control of constrained discrete-time linear systems, Automatica, vol. 26, no. 3, pp. 521–532, 1990.

    Article  MathSciNet  Google Scholar 

  15. X. Cheng, B. H. Krogh, Stability-Constrained Model Predictive Control, IEEE Trans. Autom. Control, vol. 46, no. 11, pp. 1816–1820, 2000.

    Article  MathSciNet  Google Scholar 

  16. W. H. Chen, Maximisation of stability/feasibility region of model predictive control for constrained linear systems, IEE Proc.-Control Theory Appl., vol. 149, no. 3, pp. 243–246, 2002.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK

    Xiao-Bing Hu & Wen-Hua Chen

Authors
  1. Xiao-Bing Hu
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Wen-Hua Chen
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Xiao-Bing Hu.

Additional information

Xiao-Bing Hu received the B.S. degree in Aviation Electronic Engineering at Civil Aviation Institute of China, Tianjin, China, in 1998, the M.S. degree in Automatic Control Engineering at Nanjing University of Aeronautics & Astronautics, Nanjing, China, in 2001, and the Ph.D. degree in Aeronautical and Automotive Engineering at Loughborough University, UK, in 2005.

He is currently a Research Fellow in Department of Informatics at Sussex University, UK. His major field of research includes predictive control, artificial intelligence, air traffic management, and flight control.

Wen-Hua Chen received his MSc and Ph.D. degrees from Department of Automatic Control at Northeast University, China, in 1989 and 1991, respectively.

From 1991 to 1996, he was a Lecturer in Department of Automatic Control at Nanjing University of Aeronautics & Astronautics, China. He held a research position and then a Lectureship in Control Engineering in Center for Systems and Control at University of Glasgow, UK, from 1997 to 2000. He holds a Lectureship in Flight Control Systems in Department of Aeronautical and Automotive Engineering at Loughborough University, UK. He has published one book and more than 60 papers on journals and conferences. His research interests are the development of advanced control strategies and their applications in aerospace engineering.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, XB., Chen, WH. A modified model predictive control scheme. Int J Automat Comput 2, 101–106 (2005). https://doi.org/10.1007/s11633-005-0101-6

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11633-005-0101-6

Keywords