Event based pulse-modulated control of linear stochastic systems

IEEE Transactions on Automatic Control

Volumn 59, Issue 8, 2014, Pages 2144-2150

  Wang, Bingchang ^a,b   Meng, Xiangyu ^a   Chen, Tongwen ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b SHANDONG UNIVERSITY   (China)

Author keywords

Event based control; optimal control; pulse modulation; stochastic systems

Indexed keywords

DIFFERENTIAL EQUATIONS; PULSE MODULATION; STOCHASTIC SYSTEMS;

ANALYTIC EXPRESSIONS; EVENT-BASED CONTROL; FIRST ORDER SYSTEMS; LINEAR STOCHASTIC SYSTEM; OPTIMAL CONTROLS; PROBABILISTIC REPRESENTATION; PULSE-MODULATED CONTROL; STABILIZATION PROBLEMS;

STOCHASTIC CONTROL SYSTEMS;

EID: 84905169306     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2014.2301564     Document Type: Article

References (25)

1. K. Åström and B. Wittenmark, Computer-Controlled Systems: Theory and Design, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 1997.
2. T. Chen and B. Francis, Optimal Sampled-Data Control Systems. New York: Springer, 1995.
3. K. Åström, "Event based control," Analysis and Design of Nonlinear Control Syst.ems: In Honor of Alberto Isidori, pp. 127-147, 2007.
4. X. Meng, B. Wang, T. Chen, and M. Darouach, "Sensing and actuation strategies for event triggered stochastic optimal control," in Proc. 52nd IEEE Conf. Decision Control, Florence, Italy, Dec. 2013, pp. 3097-3102.
5. M. Rabi and K. Johansson, "Event-triggered strategies for industrial control over wireless networks," in Proc. 4th Annu. Int. Conf. Wireless Internet, Maui, HI, Nov. 2008.
6. J. Sánchez, M. Guarnes, and S. Dormido, "On the application of different event-based sampling strategies to the control of a simple industrial process," Sensors, vol. 9, no. 9, pp. 6795-6818, 2009.
7. K. Årzén, "A simple event-based PID controller," in Proc. 14th IFAC World Congr., 1999, vol. 18, pp. 423-428.
8. K. Åström and B. 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.
9. P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1680-1685, Sep. 2007. (Pubitemid 47456078)
10. M. Rabi and J. Baras, "Level-triggered control of a scalar linear system," in Mediterranean Conf. Control Automat., 2007, pp. 1896-1901.
11. T. Henningsson, E. Johannesson, andA.Cervin, "Sporadic event-based control of first-order linear stochastic systems," Automatica, vol. 44, no. 11, pp. 2890-2895, 2008.
12. X. Wang and M. Lemmon, "Event-triggering in distributed networked control systems," IEEE Trans. Autom. Control, vol. 56, no. 3, pp. 586-601, Mar. 2011.
13. X. Meng and T. Chen, "Optimal sampling and performance comparison of periodic and event based impulse control," IEEE Trans. Autom. Control, vol. 57, no. 12, pp. 3252-3259, Dec. 2012.
14. X. Meng and T. Chen, "Event based agreement protocols for multiagent networks," Automatica, vol. 49, no. 7, pp. 2123-2132, 2013.
15. R. Skoog and G. Blankenship, "Generalized pulse-modulated feedback systems: Norms, gains, Lipschitz constants, and stability," IEEE Trans. Autom. Control, vol. AC-15, no. 3, pp. 300-315, 1970.
16. S. Haykin, M. Moher, and T. Song, An Introduction to Analog and Digital Communications. New York: Wiley, 1989, vol. 1.
17. D. Holmes and T. Lipo, PulseWidthModulation for Power Converters: Principles and Practice. NewYork:Wiley-IEEE Press, 2003, vol. 18.
18. L. Hou and A. Michel, "Moment stability of pulse-width-modulated feedback systems subjected to random disturbances," in Proc. 39th IEEE Conf. Decision Control, 2000, vol. 3, pp. 2343-2348. (Pubitemid 32528383)
19. W. De Koning, "Digital optimal reduced-order control of pulse-widthmodulated switched linear systems," Automatica, vol. 39, no. 11, pp. 1997-2003, 2003.
20. H. Fujioka, C. Kao, S. Almér, and U. Jönsson, "Robust tracking with performance for PWM systems," Automatica, vol. 45, no. 8, pp. 1808-1818, 2009.
21. I. Karatzas and S. Shreve, Brownian Motion and Stochastic Calculus. New York: Springer-Verlag, 1991.
22. B. Oksendal, Stochastic Differential Equations: An Introduction with Applications. New York: Springer-Verlag, 2003.
23. Z. Feng, Y. Liu, and F. Guo, "Mean-square practical stability of stochastic large-scale dynamical systems," in Proc. IEEE Int. Conf. Syst. Man, Cybern., 1991.
24. A. Skorokhod, Asymptotic Methods in the Theory of Stochastic Differential Equations. Providence, RI: American Mathematical Society, 1989.
25. C. Gardiner, Handbook of Stochastic Methods: For Physics, Chemistry and the Natural Sciences, ser. Synergetics. New York: Springer, 2004.