Skip to main content
SpringerLink
Log in

A new approach to robust control of hybrid systems

  • Conference paper
  • First Online:
Hybrid Systems III (HS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1066))

Included in the following conference series:

Abstract

The paper presents a new approach to robust control synthesis problems for hybrid dynamical systems. The hybrid system under consideration is a composite of a continuous plant and a discrete event controller. State and output feedback problems are considered. The main results are given in terms of the existence of suitable solutions to a dynamic programming equation and a Riccati differential equation of the H ∞ filtering type. These results show a connection between the theories of hybrid dynamical systems and robust and nonlinear control.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Gollu and P.P. Varaiya. Hybrid dynamical systems. In Proceedings of the 28rd IEEE Conference on Decision and Control, Tampa, 1989.

    Google Scholar 

  2. P. J. Antsaklis, J.A. Stiver, and M. Lemmon. Hybrid systems modeling and autonomous control systems. In R.L. Grossman, A. Nerode, A.P. Ravn, and H. Rishel, editors, Hybrid Systems. Springer-Verlag, New York, 1993.

    Google Scholar 

  3. 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 

  4. M.S. Branicky, V.S. Borkar, and S.K. Mitter. A unified framework for hybrid control. In Proceedings of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, Fl, 1994.

    Google Scholar 

  5. P.P. Varaiya. Smart cars on smart roads: Problems of control. IEEE Transactions on Automatic Control, 38(2):195–207, 1993.

    Article  Google Scholar 

  6. T. Basar and P. Bernhard. H ∞ -Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Birkhäuser, Boston, 1991.

    Google Scholar 

  7. P. P. Khargonekar, K. M. Nagpal, and K. R. Poolla. H ∞ control with transients. SIAM Journal on Control and Optimization, 29(6):1373–1393, 1991.

    Article  Google Scholar 

  8. M.R. James and J.S. Baras. Robust H infinity output feedback control for nonlinear systems. IEEE Transactions on Automatic Control, 40(6):1007–1017, 1995.

    Article  Google Scholar 

  9. F. L. Lewis. Optimal Control. Wiley, New York, 1986.

    Google Scholar 

  10. D. P. Bertsekas and I. B. Rhodes. Recursive state estimation for a set-membership description of uncertainty. IEEE Transactions on Automatic Control, 16(2):117–128, 1971.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, University of Melbourne, Australia

    Andrey V. Savkin & Robin J. Evans

  2. Department of Electrical Engineering, Australian Defence Force Academy, Australia

    Ian R. Petersen

Authors
  1. Andrey V. Savkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robin J. Evans
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ian R. Petersen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Rajeev Alur Thomas A. Henzinger Eduardo D. Sontag

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Savkin, A.V., Evans, R.J., Petersen, I.R. (1996). A new approach to robust control of hybrid systems. In: Alur, R., Henzinger, T.A., Sontag, E.D. (eds) Hybrid Systems III. HS 1995. Lecture Notes in Computer Science, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020975

Download citation

  • DOI: https://doi.org/10.1007/BFb0020975

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61155-4

  • Online ISBN: 978-3-540-68334-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation