Stabilization of stochastic linear plants via limited capacity stochastic communication channels

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 484-489

  Matveev, Alexey S ^a   Savkin, Andrey V ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTATIONAL COMPLEXITY; DATA TRANSFER; ERROR ANALYSIS;

SHANNON CAPACITY; STOCHASTIC LINEAR PLANTS;

RANDOM PROCESSES;

EID: 39549109017     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376985     Document Type: Conference Paper

References (24)

1. I.R. Petersen and A.V. Savkin, "Multi-rate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel", in 40th IEEE CDC, Orlando, Florida, 2001, pp.304-309.
2. G.N. Nair and R.J. Evans, Stabilization with data-rate-limited feedback: tightest attainable bounds, Systems and Control Letters, vol. 41, no. 1, 2000, pp. 49-56.
3. A.V. Savkin, Analysis and synthesis of networked control systems: topological entropy, observability, robustness, and optimal control, Automatica, vol. 42, no. 1, 2006, pp. 51-62.
4. 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., Springer, Berlin; 2002.
5. G.N. Nair and R.J. Evans, Exponential stabilisability of finite-dimensional linear systems with limited data rate, Automatica, vol. 39, 2003, pp. 585-593.
6. A.S. Matveev and A.V. Savkin, Comments on "Control over Noisy Channels" and relevant negative results, IEEE Transactions on Automatic Control, vol. 50, no. 12, 2005, pp. 2105-2110.
7. Special issue on networked control systems, IEEE Control Systems Magazine, vol. 21, no. 2, 2001.
8. D. Liberzon, On stabilization of linear systems with limited information, IEEE Trans. Autom. Control, vol. 48, no. 2, 2003, pp. 304-307.
9. G.N. Nair and R.J. Evans, Stabilisability of stochastic linear systems with finite feedback data rates, SIAM Journal on Control and Optimization, vol. 43, no. 2, 2004, pp. 413-436.
10. A.S. Matveev and A.V. Savkin, Multi-rate stabilization of linear multiple sensor systems via limited capacity communication channels, SIAM J. Control and Optimization, vol. 44, no. 2, 2005, pp. 584-618.
11. C.E. Shannon and W Weaver, The Mathematical Theory of Communication, University of Illinois Press, Urbana; 1949.
12. R. Ahlswede, N. Cai, and Z. Zhang, Erasure, list, and detection zeroerror capacities for low noise and a relation to identification, IEEE Transactions on Information Theory, vol. 42, no. 1, 1996, pp. 55-62.
13. I. Csiszar and P. Narayan, Secrecy capacities for multiple terminals, IEEE Trans. on Inform. Theory, vol. 50, no. 2, 2004, pp. 3047-3061.
14. C.E. Shannon, The zero error capacity of a noisy channel, IEEE Transactions on Information Theory, vol. IT-2, 1956, pp. 8-19.
15. A.S. Matveev and A.V. Savkin, "An analogue of Shannon information theory for networked control systems: Stabilization via a noisy discrete channel", in 43rd IEEE CDC, Atlantis, Bahamas, 2004, pp. 4491-4496.
16. _, "Zero error capacity as the border of the domain of almost sure observability over noisy channels", in 44th IEEE CDC, Seville, 2005.
17. _, "Almost sure nonobservability and nontabilizability of unstable noisy plants via communication channels with packet losses", in 44th IEEE CDC, Seville, 2005.
18. _, "On a problem related to application of digital networked communication technology to stabilization of noisy plants over noisy channels", in 2006 IEEE Conf. on Contr. Applic., Munich, 2006.
19. J. Körner and A. Orlitsky, Zero-error information theory, IEEE Trans. on Inform. Theory, vol. 44, no. 6, 1998, pp. 2207-2229.
20. T. Simsek, R. Jain, and P. Varaiya, Scalar estimation and control with noisy binary observation, IEEE Transactions on Automatic Control, vol. 49, no. 9, 2004, pp. 1598-1603.
21. I.R. Petersen and A.V. Savkin, Robust Kalman Filtering for Signals and Systems with Large Uncertainties, Birkhauzer, Boston; 1999.
22. B.D.O. Anderson and J.B. Moore, Optimal Filtering, Englewood Cliffs, NY; 1979.
23. I. Csisár, The method of types, IEEE Transactions on Information Theory, vol. 44, no. 6, 1998, pp. 2505-2523.
24. K. Aström and B. Wittenmark, Computer-Controlled Systems: Theory and Design, Prentice Hall, NY; 1997.