Skip to main content

An invariant based approach to the design of hybrid control systems containing clocks

  • 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 class of hybrid control systems considered here contain a discrete event system controller and a continuous-time plant modeled as an integrator, x = c, c ∈ R n, c ≠ 0. A design procedure based on the natural invariants of the plant, which was developed for a more general class of hybrid systems, is applied to this more tractable class. It is shown that the invariant based approach provides a straightforward procedure for designing an interface and controller for this class of hybrid systems.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. J. Antsaklis, M. D. Lemmon, and J. A. Stiver, “Learning to be autonomous: Intelligent supervisory control”, In Intelligent Control: Theory and Applications, M. Gupta and N. Sinha, Eds., chapter 2, pp. 28–62. IEEE Press, 1996.

    Google Scholar 

  2. S. Di Gennaro, C. Horn, S. Kulkarni, and P. Ramadge, “Reduction of timed hybrid systems”, In Proceedings of the 33rd IEEE Conference on Decision and Control, pp. 4215–4220, Lake Buena Vista, FL, December 1994.

    Google Scholar 

  3. A. Gollu, A. Puri, and P. Varaiya, “Discretization of timed automata”, In Proceedings of the 33rd Conference on Decision and Control, pp. 957–960, Lake Buena Vista, FL, December 1994.

    Google Scholar 

  4. J. A. Stiver, P. J. Antsaklis, and M. D. Lemmon, “Digital control from a hybrid perspective”, In Proceedings of the 33rd Conference on Decision and Control, pp. 4241–4246, Lake Buena Vista, FL, December 1994.

    Google Scholar 

  5. J. A. Stiver, P. J. Antsaklis, and M. D. Lemmon, “A Logical DES Approach to the Design of Hybrid Systems”, Mathematical and Computer Modeling, 1995, To appear.

    Google Scholar 

  6. J. A. Stiver, P. J. Antsaklis, and M. D. Lemmon, “Interface and controller design for hybrid control systems”, In Hybrid Systems II, P. Antsaklis, W. Kohn, A. Nerode and S. Sastry, Eds., Lecture Notes in Computer Science. Springer-Verlag, 1995, To appear.

    Google Scholar 

  7. J. A. Stiver, P. J. Antsaklis, and M. D. Lemmon, “Interface Design for Hybrid Control Systems”, Technical Report of the ISIS Group (Interdisciplinary Studies of Intelligent Systems) ISIS-95-001, University of Notre Dame, January 1995.

    Google Scholar 

  8. M. Tittus and B. Egardt, “Control-law synthesis for linear hybrid systems”, In Proceedings of the 33rd IEEE Conference on Decision and Control, pp. 961–966, Lake Buena Vista, FL, December 1994.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Stiver, J.A., Antsaklis, P.J., Lemmon, M.D. (1996). An invariant based approach to the design of hybrid control systems containing clocks. 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/BFb0020968

Download citation

  • DOI: https://doi.org/10.1007/BFb0020968

  • 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