Minimum data rate for mean square stabilization of single input discrete systems over lossy channels

2009 IEEE International Conference on Control and Automation, ICCA 2009

Volumn , Issue , 2009, Pages 1-6

  You, Keyou ^a   Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

DATA RATES; DISCRETE SYSTEMS; EIGENVALUES; LINEAR TIME-INVARIANT SYSTEM; LOSSY CHANNEL; MATRIX; MEAN-SQUARE STABILIZATION; OPEN LOOPS; PACKET DROPOUTS; QUANTIZED CONTROL; SINGLE INPUT;

EIGENVALUES AND EIGENFUNCTIONS;

STABILIZATION;

EID: 77950426190     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCA.2009.5410276     Document Type: Conference Paper

References (23)

1. J. Baillieul and P. Antsaklis, "Control and Communication Challenges in Networked Real-Time Systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 9-28, 2007.
2. J. 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, 2007
3. L. Schenato, B. Sinopoli, M. Franceschetti, K. Poolla, and S. Sastry, "Foundations of control and estimation over lossy networks," Proceedings of the IEEE, vol. 95, no. 1, pp. 163-187, 2007
4. W. Wong and R. Brockett, "Systems with finite communication bandwidth constraints-Part I: State estimation problems," IEEE Transactions on Automatic Control, vol.42, no.9, pp. 1294-1299, 1997
5. -, "Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback," IEEE Transactions on Automatic Control, vol.44, no.5, pp. 1049-1053, 1999
6. J. Baillieul, "Feedback designs in information-based control," Stochastic Theory and Control, pp. 18-20, 2002
7. G. Nair and R. Evans, "Exponential stabilisability of finite-dimensional linear systems with limited data rates," Automatica, vol.39, no.4, pp. 585-593, 2003
8. - , "Stabilizability of stochastic linear systems with finite feedback data rates," SIAM Journal on Control and Optimization, vol.43, no.2, pp. 413-436, 2004
9. S. Tatikonda and S. Mitter, "Control under communication constraints," IEEE Transactions on Automatic Control, vol.49, no.7, pp. 1056-1068, 2004
10. 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, 2004
11. M. Huang and S. Dey, "Stability of Kalman filtering with Markovian packet losses," Automatica, vol.43, no.4, pp. 598-607, 2007
12. N. Elia, "Remote stabilization over fading channels," Systems & Control Letters, vol.54, no.3, pp. 237-249, 2005
13. V. Gupta, B. Hassibi, and R. Murray, "Optimal LQG control across packet-dropping links," Systems & Control Letters, vol.56, no.6, pp. 439-446, 2007
14. K. Plarre and F. Bullo, "On kalman filtering for detectable systems with intermittent observations," IEEE Transactions on Automatic Control, vol.54, no.2, pp. 386-390, 2009
15. 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, 2005
16. G. Gu and L. Qiu, "Networked stabilization of multi-input systems with channel resource allocation," Proc. 17th IFAC World Congress, pp. 625-630, 2008
17. K. You, W. Su, M. Fu, and L. Xie, "Optimality of the logarithmic quantizer for stabilization of linear systems: Achieving the minimum data rate," to appear in Proceedings of the 48th IEEE Conference on Decision and Control, 2009
18. S. Hu and W. Yan, "Stability of Networked Control Systems Under a Multiple-Packet Transmission Policy," IEEE Transactions on Automatic Control, vol.53, no.7, pp. 1706-1711, 2008
19. P. Minero, M. Franceschetti, S. Dey, and G. Nair, "Data rate theorem for stabilization over time-varying feedback channels," IEEE Transactions on Automatic Control, vol.54, no.2, pp. 243-255, 2009
20. C. Chen, Linear system theory and design. Saunders College Publishing Philadelphia, PA, USA, 1984
21. T. Cover and J. Thomas, Elements of information theory. Wiley-Interscience, 2006
22. R. Ash and C. Doléans-Dade, Probability and Measure Theory. Academic Press, 2000
23. S. Tatikonda and S. Mitter, "Control over noisy channels," IEEE Transactions on Automatic Control, vol.49, no.7, pp. 1196-1201, 2004