Linear systems with medium-access constraint and Markov actuator assignment

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 57, Issue 11, 2010, Pages 2999-3010

  Guo, Ge ^a  

^a DALIAN MARITIME UNIVERSITY   (China)

Author keywords

Actuator assignment; delayed actuation; Markov process; network access constraint; stochastic stabilization

Indexed keywords

ACTUATORS; CONVEX OPTIMIZATION; LINEAR SYSTEMS; MARKOV CHAINS; MARKOV PROCESSES; MATRIX ALGEBRA; STABILITY CRITERIA; STATE FEEDBACK; STOCHASTIC SYSTEMS; TIME DELAY;

ASYMPTOTIC MEAN-SQUARE STABILITIES; CONVEX OPTIMIZATION ALGORITHMS; DELAYED ACTUATION; DIFFERENTIAL INEQUALITIES; MARKOVIAN JUMPING SYSTEMS; NETWORK ACCESS; STATE FEEDBACK CONTROL APPROACHES; STOCHASTIC STABILIZATION;

DELAY CONTROL SYSTEMS;

EID: 78149466174     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2010.2050227     Document Type: Article

References (36)

1. H. Gao, T. Chen, and J. Lam, "A new delay system approach to network-based control", Automatica, vol. 44, no. 1, pp. 39-52, Jan. 2008.
2. B. Tang, G. P. Liu, and W. H. Gui, "Improvement of state feedback controller design for networked control systems", IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 5, pp. 464-468, Mar. 2008.
3. R. Wang, B. Wang, G. P. Liu, W. Wang, and D. Rees", H∞ controller design for networked predictive control systems based on the average dwell-time approach", IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 57, no. 4, pp. 310-314, Apr. 2010.
4. Y. Liang, T. Chen, and Q. Pan, "Optimal linear state estimator with multiple packet dropouts", IEEE Trans. Autom. Control, 2010, DOI: 10.1109/TAC.2010.2044263, to be published.
5. J. Xiong and J. Lam, "Stabilization of linear systems over networks with bounded packet loss", Automatica, vol. 43, no. 1, pp. 80-87, Jan. 2007.
6. W. Zhang and L. Yu, "Output feedback stabilization of networked control systems with packet dropouts", IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1705-1710, Sep. 2007.
7. N. Elia and S. K. Mitter, "Stabilization of linear systems with limited information", IEEE Trans. Autom. Control, vol. 46, no. 9, pp. 1384-1400, Sep. 2001.
8. P. Minero, M. Franceschetti, S. Dey, and G. N. Nair, "Datarate theorem for stabilization over time-varying feedback channels", IEEE Trans. Autom. Control, vol. 54, no. 2, pp. 243-255, Sep. 2009.
9. D. Nesic and D. Liberzon, "A unified framework for design and analysis of networked and quantized control systems", IEEE Trans. Autom. Control, vol. 54, no. 4, pp. 732-747, Apr. 2009.
10. S. Tatikonda and S. Mitter, "Control under communication constraints", IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1056-1068, Jul. 2004.
11. H. Rehbinder and M. Sanfridson, "Scheduling of a limited communication channel for optimal control", Automatica, vol. 40, no. 3, pp. 491-500, Mar. 2004.
12. D. Hristu-Varsakelis and L. Zhang, "LQG control of networked control systems with access constraints and delays", Int. J. Control, vol. 81, no. 8, pp. 1266-1280, Aug. 2008.
13. L. Zhang and D. Hristu-Varsakelis, "Communication and control co-design for networked control systems", Automatica, vol. 542, no. 6, pp. 953-958, Jun. 2006.
14. D. Hristu-Varsakelis, "Short-period communication and the role of zero-order holding in networked control systems", IEEE Trans. Autom. Control, vol. 53, no. 5, pp. 1285-1290, Jun. 2008.
15. G. Guo and H. Jin, "A switching system approach to actuator assignment with limited channels", Int. J. Robust Nonlinear Control, 2010, DOI: 10.1002/rnc.1522, to be published.
16. G. Guo and H. Jin, "A switching system approach to sensor and actuator assignment for stabilization via limited multi-packet transmitting channels", Int. J. Control, 2010, to be published.
17. V. Gupta, T. H. Chung, and B. Hassibi R. M. Murray et al, "On a stochastic sensor selection algorithm with applications in sensor scheduling and sensor coverage", Automatica, vol. 42, no. 2, pp. 251-260, Feb. 2006.
18. S. Arai, Y. Iwatani, and K. Hashimoto, "Fast sensor scheduling for spatially distributed heterogeneous sensors", in Proc. Amer. Control Conf, St. Louis, MO, Jun. 2009, pp. 2785-2790.
19. Y. He and E. K. P. Chong, "Sensor scheduling for target tracking: A Monte Carlo sampling approach", Digit. Signal Process., vol. 16, no. 5, pp. 533-545, Sep. 2006.
20. M. Rezaeian, "Sensor scheduling for optimal observability using estimation entropy", in Proc. 5th IEEE Int. Conf. Pervasive Comput. Commun. Workshops, White Plains, NY, Mar. 2007, pp. 307-312.
21. M. A. Demetriou and N. Kazantzis, "A new actuator activation policy for performance enhancement of controlled diffusion processes", Automatica, vol. 40, no. 3, pp. 415-421, Mar. 2004.
22. N. H. El-Farra, M. A. Demetrioub, and P. D. Christofides, "Actuator and controller scheduling in nonlinear transport-reaction processes", Chem. Eng. Sci., vol. 63, no. 13, pp. 3537-3550, Jul. 2008.
23. S. Ghantasala and N. H. El-Farra, "Stability-based actuator scheduling in distributed processes with control and communication constraints", in Proc. Mediterranean Conf. Control Autom., Thessaloniki, Greece, Jun. 2009, pp. 492-497.
24. Y. Lou and P. D. Christofides, "Optimal actuator/sensor placement for nonlinear control of the Kuramoto-Sivashinsky equation", IEEE Trans. Control Syst. Technol, vol. 11, no. 5, pp. 737-745, Sep. 2003.
25. M. A. Demetriou and N. Kazantzis, "A new integrated output feedback controller synthesis and collocated actuator/sensor scheduling framework for distributed parameter processes", Comput. Chem. Eng., vol. 29, no. 4, pp. 867-876, Mar. 2005.
26. T. Palmer and P. Williams, Stochastic Physics and Climate Modeling. Cambridge, U. K.: Cambridge Univ. Press, 2010, ch. 4-5.
27. D. Boychuk, W. J. Braun, and R. J. Kulperger Z. L. Krougly D. A. Stanford et al., "A stochastic forest fire growth model", Environ. Ecol. Stat., vol. 16, no. 2, pp. 133-151, Jun. 2009.
28. A. Graham, "Kronecker products and matrix calculus with applications", in Mathematics and Its Applications. Chichester, U. K.: Ellis Horwood, Mar. 1981.
29. Z. Wu, "A hidden Markov model for earthquake declustering", J. Geophys. Res., vol. 115, p. B03306, 2010, DOI: 10.1029/2008JB005997.
30. K. Benjelloun and E. K. Boukas, "Mean square stochastic stability of linear time-delay system with Markovian jumping parameters", IEEE Trans. Autom. Control, vol. 43, no. 10, pp. 1456-1460, Oct. 1998.
31. S. Xu, J. Lam, and X. Mao, "Delay-dependent H∞ control and filtering for uncertain Markovian jump systems with time-varying delays", IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 9, pp. 2070-2077, Sep. 2007.
32. M. Tanelli, B. Picasso, P. Bolzern, and P. Colaneri, "Almost sure stabilization of uncertain continuous-time Markov jump linear systems", IEEE Trans. Autom. Control, vol. 55, no. 1, pp. 195-201, Jan. 2010.
33. W. Chen and Z. Guan X. Lu et al, "Delay-dependent output feedback stabilization of Markovian jump system with time-delay", Proc. Inst. Elect. Eng.-Control Theory Appl, vol. 151, no. 5, pp. 561-566, Sep. 2004.
34. G. Guo and X. Liu, "Observability and controllability of systems with limited data rate", Int. J. Syst. Sci., vol. 40, no. 4, pp. 327-334, Apr. 2009.
35. I. I. Kats and N. N. Krasovskii, "On the stability of systems with random parameters", J. Appl. Math. Mech., vol. 24, no. 5, pp. 1225-1246, 1960.
36. K. J. Kushner, Stochastic Stability and Control. New York: Academic, 1967, ch. 3.