On a problem related to application of digital networked communication technology to stabilization of noisy plants over noisy channels

Proceedings of the IEEE International Conference on Control Applications

Volumn , Issue , 2007, Pages 2072-2077

  Matveev, Alexey ^a   Savkin, Andrey ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

NOISY CHANNELS; NOISY PLANTS;

CHANNEL ESTIMATION; DISCRETE TIME CONTROL SYSTEMS; LINEAR SYSTEMS; PROBLEM SOLVING;

DIGITAL COMMUNICATION SYSTEMS;

EID: 43049152916     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCA.2006.286185     Document Type: Conference Paper

References (24)

1. W. Wong and R. Brockett, "Systems with finite communication bandwidth constraints - part 2: stabilization with limited information feedback," IEEE Trans. Autom. Contr., vol. 44, pp. 1049-1053, 1999.
2. R. Brockett and D. Liberzon, "Quantized feedback stabilization of linear systems," IEEE Trans. Autom. Contr., vol. 45, pp. 1279-1289, 2000.
3. G. Nair and R. Evans, "Stabilization with data-rate-limited feedback: tightest attainable bounds," Systems and Control Letters, vol. 41, no. 1, pp. 49-56, 2000.
4. A. Savkin, "Analysis and synthesis of networked control systems: topological entropy, observability, robustness, and optimal control," Automatica, vol. 42, no. 1, pp. 51-62, 2006.
5. J. Hespanha, A. Ortega, and L. Vasudevan, "Towards the control of linear systems with minimum bit-rate," in Proc. of the International Symp. on the Mathematical Theory of Networks and Systems, 2002, available at http://www.ece.ucsb.edu/hespanha/published.html.
6. H. Ishii and B. Francis, "Limited data rate in control systems with networks," in Lecture Notes in Control and Information Sciences, M. Thoma and M. Morari, Eds. Berlin: Springer, 2002.
7. H. Ishii and T. Basar, "Feedback designs in information-based control," in Proc. of the 15th IFAC World Congress, Barselona, 2002.
8. G. Nair and R. Evans, "Exponential stabilisability of finite-dimensional linear systems with limited data rate," Automatica, vol. 39, pp. 585-593, 2003.
9. A. Matveev and A. Savkin, "Comments on "Control over Noisy Channels" and relevant negative results," IEEE Trans. Autom. Contr., vol. 50, no. 12, pp. 2105-2110, December 2005.
10. "Special issue on networked control systems," IEEE Control Systems Magazine, vol. 21, no. 2, 2001.
11. S. Yüksel and T. Basar, "Achievable rates for stability of LTI systems over noisy forward and feedback channels," in Proc. of the Conf. on Inform. Science and Systems, The John Hopkins Univ., March 2005.
12. D. Liberzon, "Hybrid feedback stabilization of systems with quantized signals," Automatica, vol. 39, pp. 1543-1554, 2003.
13. G. Nair and R. Evans, "Stabilisability of stochastic linear systems with finite feedback data rates," SIAM Journal on Control and Optimization, vol. 43, no. 2, pp. 413-136, 2004.
14. D. Liberzon, "On stabilization of linear systems with limited information," IEEE Trans. Autom. Contr., vol. 48, no. 2, pp. 304-307, 2003.
15. A. Matveev and A. Savkin, "An analogue of Shannon information theory for networked control systems: State estimation via a noisy discrete channel," in Proc. of the 43rd IEEE Conference on Decision and Control, Atlantis, Bahamas, December 2004, pp. 4485-4490.
16. _, "An analogue of Shannon information theory for networked control systems: Stabilization via a noisy discrete channel," in Proc. of the 43rd IEEE Conference on Decision and Control, Atlantis, Bahamas, December 2004, pp. 4491-4496.
17. T. Simsek, R. Jain, and P. Varaiya, "Scalar estimation and control with noisy binary observation," IEEE Trans. Autom. Contr., vol. 49, no. 9, pp. 1598-1603, 2004.
18. J. Körner and A. Orlitsky, "Zero-error information theory," IEEE Trans. on Information Theory, vol. 44, no. 6, pp. 2207-2229, 1998.
19. C. Shannon, "The zero error capacity of a noisy channel," IEEE Trans. on Information Theory, vol. IT-2, pp. 8-19, 1956.
20. N. Elia, "When Bode meets Shannon: control-oriented feedback communication schemes," IEEE Trans. Autom. Contr., vol. 49, no. 9, pp. 1477-1492, 2004.
21. C. Shannon and W. Weaver, The Mathematical Theory of Communication. Urbana: University of Illinois Press, 1949.
22. A. Matveev and A. Savkin, "Almost sure nonobservability and nontabilizability of unstable noisy plants via communication channels with packet losses," in Proc. of the 44th IEEE CDC and ECC 2005, Seville, Spain, 2005.
23. _, "Zero error capacity as the border of the domain of almost sure observability over noisy channels." in Proc. of the 44th IEEE CDC and ECC 2005, Seville, Spain, 2005.
24. _, "Multi-rate stabilization of linear multiple sensor systems via limited capacity communication channels," SIAM J. Control and Optimization, vol. 44, no. 2, pp. 584-618, 2005.