A DES approach to control of hybrid dynamical systems
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.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.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
- 5.J. Lunze. Stabilization of nonlinear systems by qualitative feedback controllers. Int. J. Control, 62: 109–128, 1995.Google Scholar
- 6.J. Raisch. Control of Continuous Plants by Symbolic Output Feedback. In , pages 370–390.Google Scholar
- 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.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.P. J. Ramadge. Control and Supervision of Discrete Event Processes. PhD thesis, University of Toronto, 1983.Google Scholar
- 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