A Lyapunov Redesign of Coordination Algorithms for Cyber-Physical Systems

IEEE Transactions on Automatic Control

Volumn 62, Issue 2, 2017, Pages 808-823

  De Persis, Claudio ^a   Postoyan, Romain ^b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Cyber physical systems; distributed control; event Triggered control; hybrid systems; networked control systems

Indexed keywords

DISTRIBUTED PARAMETER CONTROL SYSTEMS; EMBEDDED SYSTEMS; HYBRID SYSTEMS; NETWORKED CONTROL SYSTEMS;

AUXILIARY VARIABLES; COMPUTATION RESOURCES; COORDINATION ALGORITHMS; DISTRIBUTED CONTROL; DISTRIBUTED CONTROL STRATEGY; DISTRIBUTED CONTROLLER; EVENT-TRIGGERED CONTROLS; INVARIANCE PRINCIPLE;

CYBER PHYSICAL SYSTEM;

EID: 85011565136     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2016.2565062     Document Type: Article

References (37)

1. D. Angeli, "A Lyapunov approach to incremental stability properties, " IEEE Trans. Autom. Control, vol. 47, no. 3, pp. 410-421, 2002.
2. M. Arcak, "Passivity as a design tool for group coordination, " IEEE Trans. Autom. Control, vol. 52, no. 8, pp. 1380-1390, 2007.
3. K. E. Arzén, "A simple event-based PID controller, " in Proc. 14th IFAC World Congress, Beijing, China, 1999, vol. 18, pp. 423-428.
4. K. J. Aström and B. M. Bernhardsson, "Comparison of periodic and event based sampling for first-order stochastic systems, " in Proc. 14th IFAC World Congress, Beijing, China, 1999, vol. 11, pp. 301-306.
5. H. Bai, M. Arcak, and J.Wen, Cooperative Control Design: A Systematic, Passivity-Based Approach. New York, NY, USA: Springer-Verlag, 2011.
6. M. Börger and C. De Persis, "Dynamic coupling design for nonlinear output agreement and time-varying flow control, " Automatica, vol. 51, pp. 210-222, 2015.
7. M. Börger, D. Zelazo, and F. Allgöwer, "Duality and network theory in passivity-based cooperative control, " Automatica, vol. 50, no. 8, pp. 2051-2061, 2014.
8. M. Chyba, S. Grammatico, V. T. Huynh, J. Marriott, B. Piccoli, and R. N. Smith, "Reducing actuator switchings for motion control of autonomous underwater vehicles, " in Proc. Amer. Contr. Conf., 2013, pp. 1406-1411.
9. O. Demir and J. Lunze, "Event-based synchronisation of multi-Agent systems, " in Proc. 4th IFAC Conf. Anal. Design Hybrid Syst., 2012, pp. 1-6.
10. D. V. Dimarogonas, E. Frazzoli, and K. H. Johansson, "Distributed eventtriggered control for multi-Agent systems, " IEEE Trans. Autom. Control, vol. 57, no. 5, pp. 1291-1297, 2012.
11. Y. Fan, G. Feng, Y. Wang, and C. Song, "Distributed event-Triggered control of multi-Agent systems with combinational measurements, " Automatica, vol. 49, no. 2, pp. 671-675, 2013.
12. E. Garcia, Y. Cao, H. Yu, P. J. Antsaklis, and D. W. Casbeer, "Decentralised event-Triggered cooperative control with limited communication, " Int. J. Control, vol. 86, no. 9, pp. 1479-1488, 2013.
13. C. Godsil and G. Royle, Algebraic Graph Theory. New York, NY, USA: Springer-Verlag, 2001, vol. 207.
14. R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid Dynamical Systems. Princeton, NJ, USA: 2012.
15. T. M. P. Gommans and W. P. M. H. Heemels, "Resource-Aware MPC for constrained nonlinear systems: A self-Triggered control approach, " Syst. Contr. Lett., vol. 79, pp. 59-67, 2015.
16. W. P. M. H. Heemels, K. H. Johansson, and P. Tabuada, "An introduction to event-Triggered and self-Triggered control, " in IEEE Conf. Decision Control, 2012, pp. 3270-3285.
17. Y. Kadowaki and H. Ishii, "Event-based distributed clock synchronization for wireless sensor networks, " IEEE Trans. Autom. Control, vol. 60, no. 8, pp. 2266-2271, 2015.
18. H. K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ, USA: Prentice-Hall, 2002.
19. D. S. Laila, D. Nešic, and A. R. Teel, "Open and closed loop dissipation inequalities under sampling and controller emulation, " Eur. J. Control, vol. 18, pp. 109-125, 2002.
20. D. Liuzza, D. V. Dimarogonas, M. di Bernardo, and K. H. Johansson, "Distributed model based event-Triggered control for synchronization of multi-Agent systems, " in Proc. 9th IFAC Symp. Nonlinear Contr. Syst., 2013, pp. 329-334.
21. D. Nešic, A. R. Teel, and D. Carnevale, "Explicit computation of the sampling period in emulation of controllers for nonlinear sampled-data systems, " IEEE Trans. Autom. Control, vol. 54, no. 3, pp. 619-624, 2009.
22. C. Nowzari and J. Cortés, "Self-Triggered coordination of robotic networks for optimal deployment, " Automatica, vol. 48, no. 6, pp. 1077-1087, 2012.
23. C. De Persis and P. Frasca, "Robust self-Triggered coordination with ternary controllers, " IEEE Trans. Autom. Control, vol. 58, no. 12, pp. 3024-3038, 2013.
24. C. De Persis, P. Frasca, and J. Hendrickx, "Self-Triggered rendezvous of gossiping second-order agents, " in Proc. IEEE Conf. Decision Control, 2013, pp. 7403-7408.
25. C. De Persis and B. Jayawardhana, "On the internal model principle in the coordination of nonlinear systems, " IEEE Trans. Contr. Netw. Syst., vol. 1, no. 3, pp. 272-282, 2014.
26. C. De Persis and R. Postoyan, "Lyapunov design of an event-based control for the rendez-vous of coupled systems, " in Proc. Int. Symp. Math. Theory Netw. Syst., 2014, pp. 993-1000.
27. C. De Persis and R. Postoyan, "Distributed rendez-vous algorithms for a class of cyberphysical systems, " in Eur. Contr. Conf., 2015.
28. S. Phillips and R. Sanfelice, "Robust asymptotic stability of desynchronization in impulse-coupled oscillators, " IEEE Trans. Contr. Netw. Syst.
29. R. Postoyan, "Commande et construction dobservateurs pour les systèmes non linéaires à données échantillonnées et en réseau, " Ph.D. dissertation, Univ Paris-Sud, Paris, France, 2009.
30. R. Postoyan, "Quadratic dissipation inequalities for nonlinear systems using event-Triggered controllers, " in Proc. IEEE Conf. Decision Control, 2015, pp. 914-919.
31. R. Postoyan, P. Tabuada, D. Nešic, and A. Anta, "A framework for the event-Triggered stabilization of nonlinear systems, " IEEE Trans. Autom. Control, vol. 60, no. 4, pp. 982-996, 2015.
32. R. Postoyan, N. van de Wouw, D. Nešic, and W. P. M. H. Heemels, "Tracking control for nonlinear networked control systems, " IEEE Trans. Autom. Control, vol. 9, no. 6, pp. 1539-1554, 2014.
33. R. G. Sanfelice, J. J. B. Biemond, N. van de Wouw, and W. P. M. H. Heemels, "An embedding approach for the design of statefeedback tracking controllers for references with jumps, " Int. J. Robust Nonlinear Control, vol. 24, no. 11, pp. 1585-1904, Jul. 2014.
34. G. S. Seyboth, D. V. Dimarogonas, and K. H. Johansson, "Event-based broadcasting for multi-Agent average consensus, " Automatica, vol. 49, pp. 245-252, 2012.
35. A. J. van der Schaft and B. M. Maschke, "Port-Hamiltonian systems on graphs, " SIAM J. Contr. Optimization, vol. 51, no. 2, pp. 906-937, 2013.
36. M. Velasco, J. Fuertes, and P. Marti, "The self triggered task model for real-Time control systems, " in Proc. 24th IEEE Real-Time Syst. Symp., 2003, pp. 67-70.
37. F. Xiao, X. Meng, and T. Chen, "Sampled-data consensus in switching networks of integrators based on edge events, " Int. J. Control, vol. 88, no. 2, pp. 391-402, 2015.