Feedback stabilization over stochastic multiplicative input channels: Continuous-time case

11th International Conference on Control, Automation, Robotics and Vision, ICARCV 2010

Volumn , Issue , 2010, Pages 543-548

  Xiao, Nan ^a   Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Feedback stabilization; Multiplicative channels; Networked control systems; Quality of service; Vehicle platooning

Indexed keywords

CO-DESIGNS; COMMUNICATION AND CONTROL; CONTINUOUS TIME; FEEDBACK STABILIZATION; INPUT CHANNELS; LIMITED COMMUNICATION; LOWER BOUNDS; MEAN-SQUARE STABILIZATION; MULTI-INPUT CHANNELS; MULTIPLE CHANNELS; MULTIPLICATIVE CHANNEL; NETWORK RESOURCE ALLOCATIONS; NETWORKED CONTROL SYSTEMS; NETWORKED SYSTEMS; NON-MINIMUM PHASE ZERO; OUTPUT FEEDBACK; STATIC STATE FEEDBACK;

COMMUNICATION SYSTEMS; COMPUTER VISION; CONTINUOUS TIME SYSTEMS; CONTROL THEORY; FEEDBACK; QUALITY OF SERVICE; ROBOTICS; STABILIZATION; STATE FEEDBACK; STOCHASTIC SYSTEMS; TELECOMMUNICATION SERVICES;

QUALITY CONTROL;

EID: 79952374045     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICARCV.2010.5707305     Document Type: Conference Paper

References (25)

1. J. P. Hespanha, P. Naghshtabrizi, and Y. Xu, "A survey of recent results in networked control systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 138-162, Jan. 2007.
2. B. Sinopoli, L. Schenato, M. Franceschetti, K. Poolla, M. Jordan, and S. Sastry, "Kalman filtering with intermittent observations," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1453-1464, Sep. 2004.
3. S. Hu and W. Yan, "Stability robustness of networked control systems with respect to packet loss," Automatica, vol. 43, no. 7, pp. 1243-1248, July 2007.
4. N. Elia and S. Mitter, "Stabilization of linear systems with limited information," IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1384-1400, Sep. 2001.
5. M. Fu and L. Xie, "The sector bound approach to quantized feedback control," IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1698-1711, Nov. 2005.
6. J. Nission, "Real-Time Control Systems with Delays," Ph.D. dissertation, Lund, Sweden: Lund Institute of Technology, 1998.
7. N. Elia, "Remote stabilization over fading channels," Systems and Control Letters, vol. 54, no. 3, pp. 237-249, Mar. 2005.
8. S. Dey, A. Leong, and J. Evans, "Kalman filtering with faded measurements," Automatica, vol. 45, no. 10, pp. 2223-2233, Oct. 2009.
9. G. Nair and R. Evans, "Stabilizability of stochastic linear systems with finite feedback data rates," SIAM Journal on Control and Optimization, vol. 43, no. 2, pp. 413-436, 2004.
10. J. Braslavsky, R. Middleton, and J. Freudenberg, "Feedback stabilization over signal-to-noise ratio constrained channels," IEEE Transactions on Automatic Control, vol. 52, no. 8, pp. 1391-1403, Aug. 2007.
11. N. Elia, "When Bode meets Shannon: control-oriented feedback communication schemes," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1477-1488, Sep. 2004.
12. K. You and L. Xie, "Minimum data rate for mean square stabilization of single input discrete systems over lossy channels," in Proceedings of the 7th IEEE International Conference on Control and Automation, Christchurch, New Zealand, Dec. 2009, pp. 1-6.
13. G. Gu and L. Qiu, "Networked stabilization of multi-input systems with channel resource allocation," in Proceedings of the 17th IFAC World Congress, Seoul, South Korea, July 2008, pp. 625-630.
14. Y. Li, E. Tuncel, J. Chen, and W. Su, "Optimal tracking performance of discrete-time systems over an additive white noise channel," in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, Dec. 2009, pp. 2070-2075.
15. N. Xiao, L. Xie, and L. Qiu, "Mean square stabilization of multi-input systems over stochastic multiplicative channels," in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, Dec. 2009, pp. 6893-6898.
16. T. Cover and J. Thomas, Elements of Information Theory. Wiley-Interscience, 2006.
17. D. Tse and P. Viswanath, Fundamentals of Wireless Communication. Cambridge University Press, 2005.
18. O. Costa, M. Fragoso, and R. Marques, Discrete-Time Markov Jump Linear Systems. Springer, 2005.
19. F. Deng, Z. Feng, and Y. Liu, "Necessary and sufficient condition for mean-square stability of time-invariant linear Itô stochastic systems," Acta Automatica Sinica, vol. 22, no. 4, pp. 510-512, 1996.
20. W. Wonham, "On pole assignment in multi-input controllable linear systems," IEEE Transactions on Automatic Control, vol. 12, no. 6, pp. 660-665, June 1967.
21. K. Zhou and J. Doyle, Essentials of Robust Control. Prentice Hall New Jersey, 1998.
22. O. Toker, J. Chen, and L. Qiu, "Tracking performance limitations in LTI multivariable discrete-time systems," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 49, no. 5, pp. 657-670, May 2002.
23. R. Horn and C. Johnson, Matrix Analysis. Cambridge University Press, 1985.
24. P. Seiler, A. Pant, and K. Hedrick, "Disturbance propagation in vehicle strings," IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1835-1842, Oct. 2004.
25. R. Middleton and J. Braslavsky, "String instability in classes of linear time invariant formation control with limited communication range," IEEE Transactions on Automatic Control, vol. 55, no. 7, pp. 1519-1530, July 2010.