Piecewise-linear constrained control for timed continuous Petri nets

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 5714-5720

  Renato Vazquez C ^a   Silva, Manuel ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; DISCRETE EVENT SIMULATION; LINEAR PROGRAMMING; PETRI NETS; PIECEWISE LINEAR TECHNIQUES;

CONSTRAINED CONTROLS; CONTINUOUS PETRI NET; CONTROL STRUCTURE; DYNAMICAL BEHAVIORS; LINEAR PROGRAMMING PROBLEM; PIECEWISE LINEAR MODELS; TIMED CONTINUOUS PETRI NETS; TIMED DISCRETE EVENT SYSTEMS;

MATRIX ALGEBRA;

EID: 77950804778     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400772     Document Type: Conference Paper

References (16)

1. H. Alla, R. David, Continuous and hybrid Petri nets, Journal of Circuits, Systems, and Computers, vol.8(1), 1998, pp 159-188.
2. M. Silva, L. Recalde, L., Petri nets and integrality relaxations: A view of continuous Petri nets, IEEE Trans. on Systems, Man and Cybernetics, vol.32(4), 2002, pp 314-327.
3. C. Mahulea, L. Recalde, M. Silva, Basic Server Semantics and Performance Monotonicity of Continuous PN, Discrete Event Dynamic Systems: Theory and Applications, vol.19(2), 2009, pp 189-212.
4. C.R. Vázquez, M. Silva, Performance Control of Markovian Petri Nets via Fluid Models: A Stock-Level Control Example, In 5th IEEE Conference on Automation Science and Engineering, Bangalore, India, 2009.
5. H. Sussmann, E. Sontag, Y. Yang, A General Result on the Stabilization of Linear Systems using Bounded Controls, Proceedings of the 32nd Conference on Decisions and control, San Antonio, USA, 1993, pp 1802-1807.
6. R. Brammer, Controllability in linear autonomous systems with positive controllers, SIAM Journal Control, vol.10(2), 1972, pp 329-353.
7. ∞ controller synthesis with applications to inventory control of switched production systems, Automatica, vol.42(8), 2006, pp 1245-1254.
8. A. Hassibi, S. Boyd, Quadratic stabilization and control of piecewise-linear systems, Proceedings of American Control Conference, Philadelphia, USA, vol.6, 1998, pp 3659-3664.
9. C. Mahulea, A. Ramírez-Trevino, L. Recalde, M. Silva, Steady state control reference and token conservation laws in continuous Petri net systems, IEEE Trans. on Automation Science and Engineering, vol.2(5), 2008, pp 726-741.
10. C.R. Vázquez, A. Ramirez-Trevino, L. Recalde, M. Silva, M., On controllability of timed continuous Petri nets, 11th Int. Workshop Hybrid Systems: Computational and Control, (Egerstedt M., Mishra B. eds.), Lecture Notes in Computer Sciences, Springer Verlag, vol.4981, 2008, pp 528-541.
11. L.C.G.J.M. Habets, J.H. van Schuppen, A control problem for affine dynamical systems on a full-dimensional polytope, Automatica, vol.40, 2004, pp 21-35.
12. C. Mahulea, A. Giua, L. Recalde, C. Seatzu, M. Silva, Optimal model predictive control of Timed Continuous Petri nets, IEEE Transsactions on Automatic Control, vol.53(7), 2008, pp 1731-1735.
13. J. Xu, L. Recalde, M. Silva, Tracking control of join-free timed continuous Petri net systems under infinite servers semantics, Discrete Event Dynamic Systems, vol.18(2), 2008, pp 263-283.
14. D. Lefebvre, D. Catherine, E. Leclerq, F. Druaux, Some contributions with Petri nets for the modelling, analysis and control of HDS, Proccedings of the International Conference on Hybrid Systems and Applications, LA, USA, vol.1(4), 2007, pp 451-465.
15. J. Júlvez, L. Recalde, M. Silva, On reachability in autonomous continuous Petri net systems, Proc. of the 24th Int. Conf. on Application and Theory of Petri Nets (van der Aalst, W., Best, E., eds.) Lecture Notes in Computer Sciences, Springer Verlag, vol.2679, 2003, pp 221-240.
16. C. Chen, Linear system theory and design, Oxford University Press USA, 1984.