Feedback control performance over a noisy communication channel

2008 IEEE Information Theory Workshop, ITW

Volumn , Issue , 2008, Pages 232-236

  Freudenberg, J S ^a   Middleton, R H ^b  

^a Department of Ecology and Evolutionary Biology   (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY; TRELLIS CODES;

A-PLANT; COMMUNICATION AND CONTROL; COMMUNICATION CHANNELS; CONTROL PERFORMANCES; GAUSSIAN; GAUSSIAN CHANNELS; PLANT OUTPUT;

CYBERNETICS;

EID: 51849110774     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ITW.2008.4578657     Document Type: Conference Paper

References (22)

1. G. N. Nair and R. J. Evans, "Exponential stabilizabiity of finite-dimensional linear systems with limited data rates", Automatica, vol. 39, no. 2, pp. 585-593, April 2003.
2. G. N. Nair and R. J. Evans, "Stabilizabiity of stochastic linear systems with finite feedback data rates", SIAM Journal on Control and Optimization, vol. 43, no. 2, pp. 413-436, July 2004.
3. S. Tatikonda and S. K. Mitter, "Control under communication constraints", IEEE Transactions on Automatic Control, vol. 49, no. 7, pp. 1056-1068, July 2004.
4. J. H. Braslavsky, R. H. Middleton, and J. S. Freudenberg, "Feedback stabilization over signal-to-noise ratio constrained channels", IEEE Transactions on Automatic Control, vol. 52, no. 8, pp. 1391-1403, August 2007.
5. H. S. Witsenhausen, "Separation of Estimation and Control for Discrete Time Systems", IEEE Transactions on Automatic Control, vol. 59, no. 11, pp. 1557-1566, November 1971.
6. H. S. Witsenhausen, "A counterexample in stochastic optimal control", SIAM Journal of Control, vol. 6, pp. 131-147, 1968.
7. R. Bansal and T. Basar, "Stochastic Teams with Nonclassical Information Revisited: When is an Affine Law Optimal?", IEEE Transactions on Automatic Control, vol. 32, no. 6, pp. 554-559, June 1987.
8. R. Bansal and T. Basar, "Solutions to a class of linear-quadratic-Gaussian (LQG) stochastic team problems with nonclassical information", Systems and Control Letters, vol. 9, pp. 125-130, 1987.
9. N. C. Martins and M. A. Dahleh, "Feedback control in the presence of noisy channels: "Bode-like" fundamental limitations of performance", IEEE Transactions on Automatic Control, to appear, 2008.
10. S. Tatikonda, A. Sahai, and S. K. Mitter, "Stochastic linear control over a communication channel" IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1549-1561, September 2004.
11. N. Elia, "When Bode meets Shannon: Control-oriented feedback communication schemes" IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1477-1488, September 2004.
12. G. N. Nair, F. Fagnani, S. Zampieri, and R. J. Evans, "Feedback control under data rate constraints: An overview" Proceedings of the IEEE, vol. 95, no. 1, pp. 108-137, January 2007.
13. A. S. Matveev and A. V. Savkin, "The problem of LQG optimal control via a limited capacity communication channel", Systems and Control Letters, vol. 53, no. 1, pp. 51-64, 2004.
14. R. Bansal and T. Basar, "Simultaneous Design of Measurement and Control Strategies for Stochastic Systems with Feedback", Automatica, vol. 25, no. 5, pp. 679-694, 1989.
15. P. R. Kumar and P. Varaiya, Stochastic Systems: Estimation, Identification, and Adaptive Control, Prentice-Hall, New Jersey, 1986.
16. R. G. Gallager, Information Theory and Reliable Communication, Wiley, New York, 1968.
17. T. Berger, Rate Distortion Theory: A Mathematical Basis for Data Compression, Prentice-Hall, New Jersey, 1971.
18. B. D. O. Anderson and J. B. Moore, Optimal Filtering, Prentice-Hall, New Jersey, 1979.
19. C. E. Shannon, "Communication in the Presence of Noise", Proceedings of the IRE, vol. 37, no. 1, pp. 10-21, 1949.
20. T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed. Wiley, New Jersey, 2006.
21. J. S. Freudenberg, R. H. Middleton, and V. Solo, "The Minimal Signal-to-Noise Ratio Required to Stabilize over a Noisy Channel", Proceedings of the 2006 American Control Conference, Minneapolis MN, June 2006.
22. J. S. Freudenberg, R. H. Middleton, and J. H. Braslavsky, "Minimum Variance Control over a Gaussian Communication Channel", to appear in the Proceedings of the 2008 American Control Conference, Seattle WA, June 2008.