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

  • James A. Stiver
  • Panos J. Antsaklis
  • Michael D. Lemmon
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1066)

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 ∈ Rn, 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.

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References

  1. 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. 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. 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. 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. 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. 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. 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. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • James A. Stiver
    • 1
  • Panos J. Antsaklis
    • 1
  • Michael D. Lemmon
    • 1
  1. 1.Department of Electrical EngineeringUniversity of Notre DameNotre Dame

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