Stabilization with data-rate-limited feedback: Tightest attainable bounds

Systems and Control Letters

Volumn 41, Issue 1, 2000, Pages 49-56

  Nair, Girish N ^a   Evans, Robin J ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Communication; Optimal control; Quantization; Stabilizability

Indexed keywords

EID: 0002663913     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(00)00037-2     Document Type: Article

References (16)

1. V.S. Borkar, S.K. Mitter, LQG control with communication constraints, in: A. Paulraj, V. Roychowdhury, C.D. Schaper (Eds.), Communications, Computation, Control and Signal Processing, Kluwer, Dordrecht, 1997, pp. 365-373.
2. J.A. Bucklew, G.L. Wise, Multidimensional asymptotic quantization with rth power distortion measures, IEEE Trans. Inform. Theory 28 (1982) 239-247.
3. D.F. Delchamps, Extracting state information from a quantized output record, Systems Control Lett. 13 (1989) 365-372.
4. D.F. Delchamps, Stabilizing a linear system with quantized state feedback, IEEE Trans. Automat. Control 35 (1990) 916-924.
5. A. Gersho, Asymptotically optimal block quantization, IEEE Trans. Inform. Theory 25 (1979) 373-380.
6. A. Gersho, R.M. Gray, Vector Quantization and Signal Compression, Kluwer, Boston, 1993.
7. X. Li, W.S. Wong, State estimation with communication constraints, Systems Control Lett. 28 (1996) 49-54.
8. T. Linder, On asymptotically optimal companding quantization, Problems Control Inform. Theory 20 (1991) 475-484.
9. X. Liu, W.S. Wong, Controllability of linear feedback control systems with communication constraints, Proceedings of 36th IEEE Conference on Decision and Control, 1997, pp. 60-65.
10. S.P. Lloyd, Least squares quantization in PCM, IEEE Trans. Inform. Theory 28 (1982) 129-137. Reproduction of unpublished Bell Laboratories manuscript, 1957.
11. G.N. Nair, State estimation under information constraints, Ph.D. Thesis, University of Melbourne, 1999.
12. G.N. Nair, R.J. Evans, State estimation via a capacity-limited communication channel, Proceedings of 36th IEEE Conference on Decision and Control, 1997, pp. 866-871.
13. G.N. Nair, R.J. Evans, A finite-dimensional coder-estimator for rate-constrained state estimation, Proceedings of 14th IFAC World Congress, Vol. I, 1999, pp. 19-24.
14. S. Tatikonda, A. Sahai, S.K. Mitter, Control of LQG systems under communication constraints, Proceedings of 37th IEEE Conference on Decision and Control, 1998, pp. 1165-1170.
15. W.S. Wong, R.W. Brockett, Systems with finite communication bandwidth constraints I, IEEE Trans. Automat. Control 42 (1997) 1294-1299.
16. W.S. Wong, R.W. Brockett, Systems with finite communication bandwidth constraints II: stabilization with limited information feedback, IEEE Trans. Automat. Control 44 (1999) 1049-1053.