An analogue of Shannon information theory for networked control systems. Stabilization via a noisy discrete channel

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2004, Pages 4491-4496

  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

CHANNEL CAPACITY; CODES (SYMBOLS); COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTER SOFTWARE; ENCODING (SYMBOLS); FEEDBACK CONTROL; LINEAR SYSTEMS; REMOTE CONTROL; SIGNAL PROCESSING;

NETWORKED CONTROL SYSTEMS; NOISY DISCRETE CHANNELS; REMOTE CONTROL SETUP; SHANNON INFORMATION THEORY;

INFORMATION THEORY;

EID: 9744254614     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2004.1429458     Document Type: Conference Paper

References (26)

1. K. Aström and B. Wittenmark. Computer-Controlled Systems: Theory and Design. Prentice Hall, New York, 1997.
2. A.V.Savkin and I.R.Petersen. Robust state estimation and model validation for discrete-time uncertain systems with deterministic description of noise and uncertainty. Automatica, 34(2):271-274, 1998.
3. J. Baillieul. Feedback designs for controlling device arrays with communication channel bandwidth constraints. In ARO Workshop on Smart Structures, 1999.
4. R.W. Brockett and D. Liberzon. Quantized feedback stabilization of linear systems. IEEE Trans. on Autom. Contr., 45:1279-1289, 2000.
5. I. Csisár. The method of types. IEEE Trans. on Information Theory, 44(6):2505-2523, 1998.
6. N. Elia and S. Mitter. Stabilization of linear systems with limited information. IEEE Trans. on Autom. Contr., 46(9):1384-1400, 2001.
7. R.M. Fano. Transmission of Information, A Statistical Theory of Communication. Wiley, New York, 1961.
8. R.G. Gallager. A simple derivation of the coding theorem and some applications. IEEE Trans. on Information Theory, IT-11:3-18, 1965.
9. S. Guiasu. Information Theory with Applications. McGraw-Hill Int., New York, 1977.
10. H. Ishii and T. Basar. Remote control of lti systems over networks with state quantization. In Proc. of the 41st IEEE Conf. on Decision and Control, pages 830-835, Las Vegas, USA, December 2002.
11. H. Ishii and B. Francis. Limited data rate in control systems with networks. In M. Thoma and M. Morari, editors, Lecture Notes in Control and Information Sciences. Springer, Berlin, 2002.
12. R. Jain, T. Simsek, and P. Varaiya. Control under communication constaints. In Proc. of the 41st IEEE Conf. on Decision and Control, pages 3209-3216, Las Vegas, USA, December 2002.
13. A.S. Matveev and A.V. Savkin. Optimal LQG control via limited capacity communication networks. In Proc. of the 41st Conf. on Decision and Control, Las Vegas, December 2002.
14. A.S. Matveev and A.V. Savkin. Optimal computer control via communication channels with irregular transmission times. International Journal of Control, 76(2):165-177, 2003.
15. A.S. Matveev and A.V. Savkin. The problem of state estimation via asynchronous communication channels with irregular transmission times. IEEE Trans. on Autom. Contr., 48(4):670-676, 2003.
16. G.N. Nair and R.J. Evans. Stabilization with data-rate-limited feedback: tightest attainable bounds. Systems and Control Letters, 41(1):49-56, 2000.
17. G.N. Nair and R.J. Evans. Exponential stabilisability of multidimensional linear systems with limited data rates. In Proc. 15th IFAC World Congress, Barselona, July 2002.
18. G.N. Nair and R.J. Evans. Mean square stabilisability of stochastic linear systems with data rate constraints. In Proc. of 41st IEEE Conf. Decision and Control, pages 1632-1637, Las Vegas, December 2002.
19. I.R. Petersen and A.V. Savkin. Multi-rate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel. In Proc. of the 40th IEEE Conference on Decision and Control, Orlando, Florida, December 2001.
20. ∞ Methods. Springer-Verlag, London, 2000.
21. A. Sahai. Anytime Information Theory. PhD thesis, Massachusetts Institute of Technology, February 2001.
22. C.E. Shannon. A mathematical theory of communication. Bell Sys. Tech. J., 27:379-423, 623-656, 1948.
23. T. Simsek and P. Varaiya. Noisy data-rate estimation: renewal codes. In Proc. of the 42nd IEEE Conference on Decision and Control, pages 3148-3154, Maui, Hawaii USA, December 2003.
24. D.J. Stiwell and B.E. Bishop. Platoons of underwater vehicles. IEEE Control Systems Magazine, 20(6):45-52, 2000.
25. S.C. Tatikonda. Control Under Communication Constraints. PhD thesis, Massachusetts Institute of Technology, 2000.
26. W.S. Wong and R.W. Brockett. Systems with finite communication bandwidth constraints - part 2: stabilization with limited information feedback. IEEE Trans. Autom. Contr., 44:1049-11053, 1999.