A DES approach to control of hybrid dynamical systems

  • Jörg Raisch
  • Siu O'Young
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1066)


We consider a special discrete-time hybrid problem: the plant state “lives” in ℝn and is affected by real-valued norm-bounded disturbances; the control input and measurement signals are sequences of symbols. The control problem is to find a feedback strategy which maps the sequence of measurement symbols into an appropriate sequence of plant input symbols. It is converted into, and solved as, a supervisory control problem for discrete-event systems (DES).


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  1. 1.
    P. J. Antsaklis, J. A. Stiver, and M. Lemmon. Hybrid system modelling and autonomous control systems. In R. L. Grossman, A. Nerode, A. P. Ravn, and H. Rischel, editors, Hybrid Systems, pages 366–392. Springer-Verlag, Berlin, 1993.Google Scholar
  2. 2.
    P. J. Antsaklis, W. Kohn, A. Nerode, and S. Sastry, editors, Hybrid Systems II, Lecture Notes in Computer Science 999, 1995. Springer-Verlag.Google Scholar
  3. 3.
    S. Chung, S. Lafortune, and F. Lin. Limited lookahead policies in supervisory control of discrete event systems. IEEE Trans. Aut. Contr., 23:1921–1935, 1992.CrossRefGoogle Scholar
  4. 4.
    J. Lunze. Qualitative modelling of linear dynamical systems with quantized state measurements. Automatica, 30:417–431, 1994.CrossRefMathSciNetGoogle Scholar
  5. 5.
    J. Lunze. Stabilization of nonlinear systems by qualitative feedback controllers. Int. J. Control, 62: 109–128, 1995.Google Scholar
  6. 6.
    J. Raisch. Control of Continuous Plants by Symbolic Output Feedback. In [2], pages 370–390.Google Scholar
  7. 7.
    J. Raisch and S. D. O'Young. A discrete-time framework for control of hybrid systems. In Proc. 1994 Hong Kong International Workshop on New Directions of Control and Manufacturing, pages 34–40, 1994.Google Scholar
  8. 8.
    J. Raisch and S. D. O'Young. Symbolic control of uncertain hybrid systems. In European Control Conference ECC95, pages 2041–2046, Roma, 1995.Google Scholar
  9. 9.
    P. J. Ramadge. Control and Supervision of Discrete Event Processes. PhD thesis, University of Toronto, 1983.Google Scholar
  10. 10.
    P. J. Ramadge and W. M. Wonham. The control of discrete event systems. Proceedings of the IEEE, 77:81–98, 1989.CrossRefGoogle Scholar
  11. 11.
    J. A. Stiver and P. J. Antsaklis. Modeling and analysis of hybrid control systems. In Proc. 31st CDC, pages 3748–3751, Tucson, 1992. IEEE.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Jörg Raisch
    • 1
  • Siu O'Young
    • 2
  1. 1.Institut für Systemdynamik und RegelungstechnikUniversität StuttgartStuttgartFR Germany
  2. 2.Systems Control Group Department of Electrical and Computer EngineeringUniversity of TorontoTorontoCanada

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