Target control for hybrid systems
World Congress, Volume # 15 | Part# 1
Authors
Anastasios Trontis; Hao Xia; Yan Pang; Michael P. Spathopoulos
Digital Object Identifier (DOI)
10.3182/20020721-6-ES-1901.00524
Page Numbers:
522-522
Index Terms
hybrid systems,target control,reachabilty,discrete event systems,supervisory control
Abstract
This paper is concerned with the supervisory target control problem for hybrid systems modeled by hybrid automata. The problem is studied in a straightforward manner through reachability analysis. A switching controller is proposed such that all the trajectories of the controlled automaton, that initiate from a given initial set in the state space, reach a target set. At the same time a cost function, specified by weighting the discrete-event transitions of the automaton, is minimized. Emphasis is given to the control synthesis under event uncertainty modeled by uncontrollable transitions.
References
[1] Asarin, E., O. Bournez, T. Dang, O. Maler
and A. Pnueli (2000). Effective synthesis of
switching controllers for linear systems. IEEE
Proceedings (88), 1011-1025.
[2] Asarin, E., S. Bansal, B. Espiau, T. Dang and
O. Maler (2001). On hybrid control of underactuated
mechanical systems. In: Hybrid Systems:
Computation and Control. LNCS 2034.
Springer.
[3] Dang, T. (2000). Verification and Synthesis of
Hybrid Systems. PhD thesis. VERIMAG.
Grenoble.
[4] Martins, E., M. Pascoal and J. Dos Santos (1998).
The k shortest paths problem. Technical report.
Department of Mathematics, Coimbra
University. Portugal.
[5] Martins, E., M. Pascoal and J. Dos Santos (2000).
Labelling algorithms for ranking shortest
paths. Technical report. Department of Mathematics,
Coimbra University. Portugal.
[6] Tittus, M. and B. Egardt (1998). Control design
for integrator hybrid systems. IEEE Transactions
on Automatic Control: Special Issue on
Hybrid Systems 43(4), 491-500.
[7] Tomlin, C., J. Lygeros and S. Sastry (1999).
Controllers for reachability specifications for
hybrid systems. Automatica 35(3), 349-370.
[8] Trontis, A. and M. Spathopoulos (2001a). Target
control for hybrid systems with linear continuous
dynamics. Proceedings of the 40th CDC.
[9] Trontis, A. and M. Spathopoulos (2001b). Target
control for linear hybrid systems. Proceedings
of the ECC01.
[10] Wong-Toi, H. (1997). The synthesis of controllers
for linear hybrid automata. Proceedings of the
36th CDC.
