A Framework for the Event-Triggered Stabilization of Nonlinear Systems

IEEE Transactions on Automatic Control

Volumn 60, Issue 4, 2015, Pages 982-996

  Postoyan, Romain ^a,b   Tabuada, Paulo ^c   Nešić, Dragan ^d   Anta, Adolfo ^e  

^a UNIVERSITÉ DE LORRAINE   (France)

^b CNRS   (France)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d UNIVERSITY OF MELBOURNE   (Australia)

^e GE GLOBAL RESEARCH   (Germany)

Author keywords

Event triggered control; hybrid systems; networked control systems; nonlinear systems; sampled data

Indexed keywords

CONTROL SYSTEMS; EMBEDDED SYSTEMS; FEEDBACK; HYBRID SYSTEMS; NONLINEAR SYSTEMS; SAMPLED DATA CONTROL SYSTEMS; STABILIZATION;

COMPUTATION RESOURCES; EVENT-BASED CONTROL; EVENT-TRIGGERED; EVENT-TRIGGERED CONTROLS; EVENT-TRIGGERING; NOVEL TECHNIQUES; SAMPLED DATA; STATE-DEPENDENT;

NETWORKED CONTROL SYSTEMS;

EID: 84922460801     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2014.2363603     Document Type: Article

References (34)

1. th IFAC World Congr., Beijing, China, 1999, vol. 18, pp. 423-428.
2. th IFAC World Congr., Beijing, China, 1999, vol. 11, pp. 301-306.
3. K. J. Aström and B. M. Bernhardsson, "Comparison of Riemann and Lebesgue sampling for first order stochastic systems," in Proc. IEEE Conf. Decision and Control, Las Vegas, CT, 2002, pp. 2011-2016.
4. F. H. Clarke, "Optimization and nonsmooth analysis," in Classics in Applied Mathematics, vol. 5. Philadelphia, PA: SIAM, 1990.
5. ∞-gain and improved and decentralized event-triggering," IEEE Trans. Autom. Control, vol. 57, no. 6, pp. 1362-1376, Jun. 2012.
6. F. Forni, S. Galeani, D. Nešić, and L. Zaccarian, "Lazy sensors for the scheduling of measurement samples transmission in linear closed loops over networks," in Proc. IEEE Conf. Decision and Control, Atlanta, GA, 2010, pp. 6469-6474.
7. R. Goebel, R. G. Sanfelice, and A. R. Teel, "Invariance principles for switching systems via hybrid systems techniques," Syst. & Control Lett., vol. 57, pp. 980-986, 2008.
8. R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid Dynamical Systems. Princeton, NJ: Princeton Uni. Press, 2012.
9. L. Grüne, Asymptotic Behavior of Dynamical and Control Systems Under Pertubation and Discretization. New York, NY, USA: Springer, 2002, no. 1783.
10. W. P. M. H. Heemels, M. C. F. Donkers, and A. R. Teel, "Periodic event-triggered control for linear systems," IEEE Trans. Autom. Control, vol. 58, no. 4, pp. 847-861, Apr. 2013.
11. 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, 2009.
12. rd ed. Englewood Cliffs, NJ, USA: Prentice-Hall, 2002.
13. E. Kofman and J. H. Braslavsky, "Level crossing sampling in feedback stabilization under data-rate constraints," in Proc. IEEE Conf. Decision and Control, 2006, pp. 4423-4428.
14. th IEEE Conf. Control Applications, 1995, pp. 1047-1052.
15. J. Lunze and D. Lehmann, "A state-feedback approach to event-based control," Automatica, vol. 46, pp. 211-215, 2010.
16. M. Miskowicz, "Send-on-delta concept: An event-based data reporting strategy," Sensors, vol. 6, no. 1, pp. 49-63, 2006.
17. D. Nešić and A. R. Teel, "Input-output stability properties of networked control systems," IEEE Trans. Autom. Control, vol. 49, pp. 1650-1667, 2004.
18. D. Nešić and A. R. Teel, "A Lyapunov-based small-gain theorem for hybrid ISS systems," in Proc. IEEE Conf. Decision and Control, Cancun, Mexico, 2008, pp. 3380-3385.
19. D. Nešić, 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, Mar. 2009.
20. G. Otanez, J. R. Moyne, and D. M. Tilbury, "Using deadbands to reduce communication in networked control systems," in Proc. American Control Conf., Anchorage, AK, 2002, pp. 3015-3020.
21. C. De Persis and R. Postoyan, A Lyapunov Redesign of Coordination Algorithms for Cyberphysical Systems In arXiv 1404.0576, 2014.
22. R. Postoyan, A. Anta, W. P. M. H. Heeemels, P. Tabuada, and D. Nešić, "Periodic event-triggered control for nonlinear systems," in Proc. IEEE Conf. Decision and Control, Florence, Italy, 2013.
23. R. Postoyan, A. Anta, D. Nešić, and P. Tabuada, "A unifying Lyapunov-based framework for the event-triggered control of nonlinear systems," in Proc. IEEE Conf. Decision and Control and European Control Conf., Orlando, FL, 2011, pp. 2559-2564.
24. R. Postoyan, P. Tabuada, D. Nešić, and A. Anta, "Event-triggered and self-triggered stabilization of distributed networked control systems," in Proc. IEEE Conf. Decision and Control and European Control Conf., Orlando, FL, 2011, pp. 2565-2570.
25. S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo, Sostools: Sum of Squares Optimization Toolbox for Matlab 2004. [Online]. Available: http://www.cds.caltech.edu/sostools
26. A. Seuret, C. Prieur, and N. Marchand, "Stability of nonlinear systems by means of event-triggered sampling algorithms," IMA J. Mathemat. Control and Inform., vol. 31, no. 3, pp. 415-433, 2013.
27. E. D. Sontag and Y. Wang, "On characterizations of the input-to-state stability property," Syst. & Control Lett., vol. 24, no. 5, pp. 351-359, 1995.
28. P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1680-1685, Sep. 2007.
29. P. Tallapragada and N. Chopra, "On event triggered tracking for nonlinear systems," IEEE Trans. Autom. Control, vol. 58, no. 9, pp. 2343-2348, Sep. 2013.
30. A. R. Teel and L. Praly, "On assigning the derivative of a disturbance attenuation control Lyapunov function," Mathemat. Control, Signals and Syst., vol. 13, no. 2, pp. 95-124, 2000.
31. M. Velasco, P. Martí, and E. Bini, "On Lyapunov sampling for event-driven controllers," in Proc. IEEE Conf. Decision and Control Held Jointly With the Chinese Control Conf., Shanghai, China, 2009, pp. 6238-6243.
32. G. C. Walsh, O. Beldiman, and L. G. Bushnell, "Asymptotic behavior of nonlinear networked control systems," IEEE Trans. Autom. Control, vol. 46, pp. 1093-1097, 2001.
33. X. Wang and M. D. Lemmon, "Event design in event-triggered feedback control systems," in Proc. IEEE Conf. Decision and Control, Cancun, Mexico, 2008, pp. 2105-2110.
34. X. Wang and M. D. Lemmon, "On event design in event-triggered feedback systems," Automatica, vol. 47, no. 10, pp. 2319-2322, 2011.