Skip to main content
SpringerLink
Log in
Book cover

International Hybrid Systems Workshop

HS 1997: Hybrid Systems V pp 262–278Cite as

A Hybrid Receding—Horizon Control Scheme for Nonlinear Discrete—Time Systems

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1567))

Abstract

Hybrid systems made up of a continuous plant supervised by a discrete - event controller are considered in this paper. A set of optimal feedback control functions is defined at the continuous level. The aim of the discrete - event controller, modelled by means of a finite-state automaton, is that of choosing, in the above mentioned set, the best control action to be applied to the plant in dependence of the current plant conditions and of possibly occurred external events (hence, the overall control scheme can be viewed as a two-level hybrid control scheme). An invariance property of the hybrid control scheme is proved and extensive simulation results are reported, showing the effectiveness of the proposed methodology.

This work was partly supported by the Italian Ministry for the University and Re- search (MURST), by the Italian Research Council(CNR), and by the Italian Space Agency (ASI).

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.

References

  1. R.W. Brockett. Hybrid models for motion control systems. In H.L. Trentelman and J.C. Willems, editors, Essays in Control. Birkhauser, Boston, 1993.

    Google Scholar 

  2. A. Nerode and W. Kohn. Models for hybrid systems: automata, topologies, controllability, observability. In R.L. Grossman, A. Nerode, A.P. Ravn, and H. Rischel, editors, Hybrid Systems. Springer-Verlag, Berlin, 1993.

    Google Scholar 

  3. P.J. Antsaklis, J.A. Stiver, and M.D. Lemmon. Hybrid system modeling and autonomous control systems. In R.L. Grossman, A. Nerode, A.P. Ravn, and H. Rischel, editors, Hybrid Systems. Springer-Verlag, Berlin, 1993.

    MATH  Google Scholar 

  4. M.S. Branicky, V.S. Borkar, and S. K. Mitter. A unified framework for hybrid control. In Proc. 33rd IEEE Conf. on Decision and Control, pages 4228–4234, Lake Buena Vista, FL, 1994.

    Google Scholar 

  5. B. Lennartson, M. Tittus, B. Egardt, and S. Petterson. Hybrid Systems in Process control. IEEE Control Systems, 16:45–56, 1996.

    Article  Google Scholar 

  6. T. Niinomi, B.H. Krogh, and J.E.R. Cury. Synthesis of supervisory controllers for hybrid systems based on approximating automata. In Proc. 34th IEEE Conf. on Decision and Control, pages 1461–1466, New Orleans, LA, 1995.

    Google Scholar 

  7. M. Dogruel, U. Ozguner, and S. Drakunov. Sliding-mode control in discrete-state and hybrid systems. IEEE Transactions on Automatic Control, 41:414–417, 1996.

    Article  MathSciNet  Google Scholar 

  8. P. Varaiya. Smart cars on smart roads: Problems of control. IEEE Transactions on Automatic Control, 38:195–206, 1993.

    Article  MathSciNet  Google Scholar 

  9. M. D. Lemmon, C. Bett, P. Szymanski, and P. J. Antsaklis. Constructing hybrid control systems from robust linear control agents. In A. Nerode, P. Antsaklis, W. Kohn, and S. Sastry, editors, Hybrid Systems II. Springer-Verlag, Berlin, 1995.

    Google Scholar 

  10. M. Branicky. Stability of switched and hybrid systems. In Proc. 33rd IEEE Conf. on Decision and Control, pages 3498–3503, Lake Buena Vista, FL, 1994.

    Google Scholar 

  11. Ling Hou, A.N. Michel, and Hui Ye. Stability analysis of switched systems. In Proc. 34th IEEE Conf. on Decision and Control, pages 1208–1212, New Orleans, LA, 1995.

    Google Scholar 

  12. Hui Ye, A.N. Michel, and Ling Hou. Stability theory for hybrid dynamical systems. In Proc. 34th IEEE Conf. on Decision and Control, pages 2679–2684, New Orleans, LA, 1995.

    Google Scholar 

  13. J. A Stiver, P. J. Antsaklis, and M. D. Lemmon. Hybrid control system design based on natural invariants. In Proc. 34th IEEE Conf. on Decision and Control, pages 1455–1460, New Orleans, LA, 1995.

    Google Scholar 

  14. J.A. Stiver, P.J Antsaklis, and M.D. Lemmon. An invariant based approach to the design of hybrid control systems. In Proc. 13th IFAC Triennal World Congress, pages 467–472, San Francisco, CA, 1996.

    Google Scholar 

  15. M. Lemmon and C. Bett. Robust hybrid control system design. In Proc. 13th IFAC Triennal World Congress, pages 395–400, San Francisco, CA, 1996.

    Google Scholar 

  16. S.S. Keerthi and E.G. Gilbert. Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: stability and moving-horizon approximations. Journal of Optimization Theory and Applications, 57:265–293, 1988.

    Article  MathSciNet  Google Scholar 

  17. T. Parisini and R. Zoppoli. A receding-horizon regulator for nonlinear systems and a neural approximation. Automatica 31:1443–1451, 1995.

    Article  MathSciNet  Google Scholar 

  18. D.Q. Mayne and H. Michalska. Receding Horizon Control of Nonlinear Systems. IEEE Trans. on Automatic Control, 35:814–824, 1990.

    Article  MathSciNet  Google Scholar 

  19. T. Parisini, M. Sanguineti, and R. Zoppoli. Nonlinear stabilization by receding-horizon neural regulator. In Proc. 34th IEEE Conf. on Decision and Control (also to appear in the Int. Journal of Control ), pages 2433–2441, New Orleans, LA, 1995.

    Google Scholar 

  20. M. Krstić, I. Kanellakopoulos, and P. Kokotović. Nonlinear and Adaptive Control Design. Wiley, New York, 1995.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical, Electronic and Computer Engineering, DEEI - University of Trieste, Via Valerio 10, 34175, Trieste, Italy

    T. Parisini

  2. Department of Communications, Computer and System Sciences, DIST - University of Genoa, Via Opera Pia 13, 16145, Genova, Italy

    S. Sacone

Authors
  1. T. Parisini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Sacone
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, 46556, USA

    Panos Antsaklis  & Michael Lemmon  & 

  2. Hynomics Corporation, 10632 NE 37th Circle, Building 23, Kirkland, WA, 98033, USA

    Wolf Kohn

  3. Department of Mathematics, Cornell University, 217, White Hall, Ithaca, NY, 14853, USA

    Anil Nerode

  4. Electronic Research Laboratory, University of California at Berkeley, 253 Cory Hall, Berkeley, CA, 94720, USA

    Shankar Sastry

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Parisini, T., Sacone, S. (1999). A Hybrid Receding—Horizon Control Scheme for Nonlinear Discrete—Time Systems. In: Antsaklis, P., Lemmon, M., Kohn, W., Nerode, A., Sastry, S. (eds) Hybrid Systems V. HS 1997. Lecture Notes in Computer Science, vol 1567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49163-5_15

Download citation

  • DOI: https://doi.org/10.1007/3-540-49163-5_15

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65643-2

  • Online ISBN: 978-3-540-49163-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation