To sample or not to sample: Self-triggered control for nonlinear systems

IEEE Transactions on Automatic Control

Volumn 55, Issue 9, 2010, Pages 2030-2042

  Anta, Adolfo ^a   Tabuada, Paulo ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Networked control; Nonlinear control; Real time control systems; Self triggered control

Indexed keywords

CONTROL DESIGN; CONTROL LAWS; CPU UTILIZATION; DIGITAL HARDWARE; DIGITAL IMPLEMENTATION; EMBEDDED CONTROL; ENGINE COMPRESSORS; FEEDBACK CONTROL LAW; HOMOGENEOUS SYSTEM; NETWORKED CONTROLS; NON LINEAR CONTROL; NOVEL TECHNIQUES; POLYNOMIAL SYSTEMS; RIGID BODY; SELF-TRIGGERED CONTROL; STATE-DEPENDENT;

JET ENGINES; REAL TIME CONTROL;

CONTROL THEORY;

EID: 77955423404     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2042980     Document Type: Article

References (33)

1. K. J. Åström and B. M. Bernhardsson, "Comparison of Riemann and Lebesgue sampling for first order stochastic systems," in Proc. 41st IEEE Conf. Decision Control, 2002, vol. 2, pp. 2011-2016.
2. V. I. Arnoi'd Ordinary Differential Equations. New York: Springer, 1992.
3. K. E. Årzén, "A simple event based PID controller," in Proc. 14th IFAC World Congress, 1999, vol. 18, pp. 423-428.
4. A. Anta and P. Tabuada, "On the benefits of relaxing the periodicity assumption for control tasks," in Proc. Real-Time Embedded Technol. Appl. Symp. (RTAS). Work-in-Progress Track, 2008, p. 57.
5. A. Anta and P. Tabuada, "Self-triggered stabilization of homogeneouscontrol systems," in Pro. Amer. Control Conf., 2008, pp. 4129-4134.
6. A. Anta and P. Tabuada, "Space-time scaling laws for self-triggeredcontrol," in Proc. 47th IEEE Conf. Decision Control, 2008, pp. 4420-4425.
7. A. Anta and P. Tabuada, "On the benefits of relaxing the periodicity assumption for networked control systems over CAN," in Proc. 30th IEEE Real-Time Syst. Symp. (RTSS), 2009, pp. 3-12.
8. K. J. Åström and B. Wittenmark Computer Controlled Systems. Englewood Cliffs, NJ: Prentice Hall, 1990.
9. J. Baillieul, "The geometry of homogeneous polynomial dynamical systems," Nonlin. Anal., Theory, Methods Appl., vol. 4, no. 5, pp. 879-900, 1980.
10. C. I. Byrnes and A. Isidori, "New results and examples in nonlinear feedback stabilization," Syst. Control Lett., vol. 12, no. 4, pp. 437-442, 1989.
11. R. W. Brockett and D. Liberzon, "Quantized feedback stabilization of linear systems," IEEE Trans. Autom. Control, vol. 45, no. 7, pp. 1279-1289, Jul. 2000.
12. W. Brockett, "Minimum attention control," in Proc. 36th IEEE Conf. Decision Control, 1997, vol. 3, pp. 2628-2632.
13. L. Grune, "Homogeneous state feedback stabilization of homogenous systems," SIAM J. Control Optim., vol. 38, no. 4, pp. 1288-1308,2000.
14. H. Hermes, "Nilpotent and high-order approximations of vector field systems," SIAM Rev., vol. 33, no. 2, pp. 238-264, 1991.
15. D. Hristu and W. Levine, Handbook of Networked and Embedded Control Systems. Boston, MA: Birkhauser, 2005.
16. W. P. Heemels, J. H. Sandee, and P. P. Bosch, "Analysis of event- driven controllers for linear systems," Int. J. Control, vol. 81, no. 4, p. 571, 2008.
17. M. Kawski, "Geometric homogeneity and stabilization," in Proc. IFAC Nonlin. Control Syst. Design Symp. (NOLCOS), 1995, pp. 164-169.
18. H. K. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice Hall, 2002.
19. M. Krstic and P. V. Kokotovic, "Lean backstepping design for a jet engine compressor model," in Proc. 4th IEEE Conf. Control Appl., 1995, pp. 1047-1052.
20. D. S. Laila, "Design and Analysis of Nonlinear Sampled-Data Control Systems," Ph.D. dissertation, The Univ. ofMelbourne, Melbourne, Australia, 2003.
21. J. M. Lee, Introduction to Smooth Manifolds. New York: Springer Verlag, 2003.
22. F. L. Lian, J. R. Moyne, and D. M. Tilbury, "Time-delay modeling and optimal controller design for networked control systems," Int. J. Control, vol. 76, no. 6, pp. 591-606, 2003.
23. D. S. Laila, D. Nesic, and A. Astolfi, "Sampled-data control of nonlinear systems," Adv. Topics Control Syst. Theory: Lecture Notes From FAP, vol. 328, pp. 91-137, 2005.
24. M. Mazo, Jr and P. Tabuada, "Input-to-state stability of self-triggered control systems," in Proc. 48th IEEE Conf. Decision Control, 2009, pp. 928-933.
25. D. Nesic, A. R. Teel, and P. V. Kokotovic, "Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations," Syst. Control Lett, vol. 38, no. 4-5, pp. 259-270, 1999.
26. P. G. Otanez, J. R. Moyne, and D. M. Tilbury, "Using deadbands to reduce communication in networked control systems," in Proc. Amer. Control Conf., 2002, vol. 4, pp. 3015-3020.
27. S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo, SOSTOOLS: Sum of Squares Optimization Toolbox for MATLAB 2004.
28. L. Praly, "Generalized weighted homogeneity and state dependent time scale for linear controllable systems," in Proc. 36th IEEE Conf. Decision Control, 1997, vol. 5, pp. 4342-4347.
29. E. D. Sontag, "Input to state stability: Basic concepts and results," in Springer Lecture Notes Math. (CIME Course, Cetraro, June 2004), 2006, pp. 163-220.
30. P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1680-1685, Sep. 2007.
31. S. E. Tuna, "Generalized Dilations and Homogeneity," Ph.D. dissertation, Univ. of California, Santa Barbara, 2005.
32. M. Velasco, J. Fuertes, and P. Marti, "The self triggered task model for real-time control systems," in Proc. Real-Time Systems Symp. (RTSS). Work Progress Track, 2003, pp. 67-70.
33. X. Wang and M. Lemmon, "State based self-triggered feedback control systems with L2 stability," in Proc. 17th IFAC World Congress, 2008, pp. 15238-15243.