Event-separation properties of event-triggered control systems

IEEE Transactions on Automatic Control

Volumn 59, Issue 10, 2014, Pages 2644-2656

  Borgers, Dominicus Paulus ^a   Heemels, W P Maurice H ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Event triggered control (ETC); minimum interevent time (MIET)

Indexed keywords

EVENT-TRIGGERED CONTROL SYSTEMS; EVENT-TRIGGERED CONTROLS; MINIMUM INTEREVENT TIME (MIET);

EID: 84907494862     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2014.2325272     Document Type: Article

References (37)

1. D. P. Borgers and W. P. M. H. Heemels, "On minimum inter-event times in event-triggered control," in Proc. IEEE Conf. Decision Control, 2013, pp. 7370-7375.
2. W. P. M. H. Heemels, K. H. Johansson, and P. Tabuada, "An introduction to event-triggered and self-triggered control," in Proc. IEEE Conf. Decision Control, 2012, pp. 3270-3285.
3. P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1680-1685, 2007.
4. X. Wang and M. D. Lemmon, "Event-triggering in distributed networked systems with data dropouts and delays," in Proc. Hybrid Syst.: Comput. Control, 2009, pp. 366-380.
5. X. Wang and M. D. Lemmon, "Event design in event-triggered feedback control systems," in Proc. IEEE Conf. Decision Control, 2008, pp. 2105-2110.
6. J. Lunze and D. Lehmann, "A state-feedback approach to event-based control," Automatica, vol. 46, no. 1, pp. 211-215, 2010.
7. E. Garcia and P. J. Antsaklis, "Model-based event-triggered control for systems with quantization and time-varying network delays," IEEE Trans. Autom. Control, vol. 58, no. 2, pp. 422-434, 2013.
8. P. Tallapragada and N. Chopra, "Event-triggered dynamic output feedback control for LTI systems," in Proc. IEEE Conf. Decision Control, 2012, pp. 6597-6602.
9. P. Tallapragada and N. Chopra, "Event-triggered decentralized dynamic output feedback control for LTI systems," in Proc. IFAC Workshop Distributed Estimation Control Networked Syst., 2012, pp. 31-36.
10. P. Tallapragada and N. Chopra, "On event triggered tracking for nonlinear systems," IEEE Trans. Autom. Control, vol. 58, no. 9, pp. 2343-2348, 2013.
11. M. C. F. Donkers andW. P. M. H. Heemels, "Output-based event-triggered control with guaranteed L?-gain and improved and decentralized eventtriggering," IEEE Trans. Autom. Control, vol. 57, no. 6, pp. 1362-1376, 2012.
12. W. P. M. H. Heemels and M. C. F. Donkers, "Model-based periodic eventtriggered control for linear systems," Automatica, vol. 49, no. 3, pp. 698-711, 2013.
13. H. Yu and P. J. Antsaklis, "Event-triggered output feedback control for networked control systems using passivity: Achieving stability in the presence of communication delays and signal quantization," Automatica, vol. 49, no. 1, pp. 30-38, 2013.
14. W. P. M. H. Heemels, J. H. Sandee, and P. P. J. Van Den Bosch, "Analysis of event-driven controllers for linear systems," Int. J. Control, vol. 81, no. 4, pp. 571-590, 2008.
15. T. Henningsson, E. Johannesson, and A. Cervin, "Sporadic event-based control of first-order linear stochastic systems," Automatica, vol. 44, no. 11, pp. 2890-2895, 2008.
16. J. K. Yook, D. M. Tilbury, and N. R. Soparkar, "Trading computation for bandwidth: Reducing communication in distributed control systems using state estimators," IEEE Trans. Control Syst. Technol., vol. 10, no. 4, pp. 503-518, 2002.
17. A. Eqtami, D. V. Dimarogonas, and K. J. Kyriakopoulos, "Event-triggered control for discrete-time systems," in Proc. Amer. Control Conf., 2010, pp. 4719-4724.
18. S. Trimpe and R. D'Andrea, "Event-based state estimation with variance-based triggering," in Proc. IEEE Conf. Decision Control, 2012, pp. 6583-6590.
19. K.-E. Årzén, "A simple event-based PID controller," in Proc. IFAC World Congress, 1999, pp. 423-428.
20. K. J. Åström and B. Bernhardsson, "Comparison of periodic and event based sampling for first-order stochastic systems," in Proc. IFAC World Congress, 1999, pp. 301-306.
21. A. Molin and S. Hirche, "On the optimality of certainty equivalence for event-triggered control systems," IEEE Trans. Autom. Control, vol. 58, no. 2, pp. 470-474, 2013.
22. C. Ramesh, H. Sandberg, and K. Johansson, "Design of state-based schedulers for a network of control loops," IEEE Trans. Autom. Control, vol. 58, no. 8, pp. 1962-1975, 2013.
23. C. Stöcker and J. Lunze, "Event-based feedback control of disturbed input-affine systems," ZAMM J. Appl. Math. Mech., 2013.
24. J. Lygeros, K. Johansson, S. Simic, J. Zhang, and S. Sastry, "Dynamical properties of hybrid automata," IEEE Trans. Autom. Control, vol. 48, no. 1, pp. 2-17, 2003.
25. W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, "Periodic eventtriggered control for linear systems," IEEE Trans. Autom. Control, vol. 58, no. 4, pp. 847-861, 2013.
26. M. Velasco, J. M. Fuertes, and P. Marti, "The self triggered task model for real-time control systems," in Proc. IEEE Real-Time Syst. Symp., 2003, pp. 67-70.
27. R. Postoyan, P. Tabuada, D. Nešíc, and A. Anta, "Event-triggered and self-triggered stabilization of distributed networked control systems," in Proc. Joint IEEE Conf. Decision Control & Eur. Control Conf., 2011, pp. 2565-2570.
28. M. Mazo, A. Anta, and P. Tabuada, "An ISS self-triggered implementation of linear controllers," Automatica, vol. 46, no. 8, pp. 1310-1314, 2010.
29. X. Wang and M. D. Lemmon, "Self-triggered feedback control systems with finite-gain L2 stability," IEEE Trans. Autom. Control, vol. 54, no. 3, pp. 452-467, 2009.
30. R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid Dynamical Systems: Modeling, Stability, and Robustness. Princeton, NJ: Princeton Univ. Press, 2012.
31. W. M. Haddad, V. Chellaboina, and S. G. Nersesov, Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control. Princeton, NJ, USA: Princeton Univ. Press, 2006.
32. R. Postoyan, A. Anta, D. Nešíc, and P. Tabuada, "A unifying Lyapunovbased framework for the event-triggered control of nonlinear systems," in Proc. Joint IEEE Conf. Decision Control & Eur. Control Conf., 2011, pp. 2559-2564.
33. M. Miskowicz, "Send-on-delta concept: An event-based data reporting strategy," Sensors, vol. 6, no. 1, pp. 49-63, 2006.
34. Z. P. Jiang, I. M. Y. Mareels, and Y. Wang, "A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems," Automatica, vol. 32, no. 8, pp. 1211-1215, 1996.
35. M. Malisoff, L. Rifford, and E. Sontag, "Global asymptotic controllability implies input-to-state stabilization," SIAM J. Control Optim., vol. 42, no. 6, pp. 2221-2238, 2004.
36. D. P. Borgers and W. P. M. H. Heemels, "Event-Separation Properties of Event-Triggered Control Systems," Eindhoven Univ. Technol., Eindhoven, The Netherlands, Tech. Rep. H&NS 2013.006, 2013.
37. A. Seuret and C. Prieur, "Event-triggered sampling algorithms based on a Lyapunov function," in Proc. Joint IEEE Conf. Decision Control & Eur. Control Conf., 2011, pp. 6128-6133.