Stabilizability of SISO Control Systems under Constraints of Channel Capacities

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2003, Pages 193-198

  Tsumura, Koji ^a   Maciejowski, Jan ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CHANNEL CAPACITY; CONSTRAINT THEORY; CONTROL EQUIPMENT; PROBLEM SOLVING; SIGNAL PROCESSING; THEOREM PROVING;

MINIMIZATION PROBLEMS; TRANSMISSION CHANNELS;

CONTROL SYSTEM ANALYSIS;

EID: 1542329221     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. R. W. Brockett and D. Liberzon. Quantized feedback stabilization of linear systems. IEEE Trans. Automat. Control AC-45-7:1279-1289, 2000.
2. T.M. Cover and Y.A. Thomas. Element of information theory. Jhon Wiley & Sons, Inc., New York, 1991.
3. R. E. Curry. Estimation and control with quantized measurements. Cambridge, MA, M.I.T. Press, 1970.
4. D. F. Delchamps. Extracting state information from a quantized output record. System & Control Letters, 13:365-372, 1989.
5. D. F. Delchamps. Stabilizing a linear system with quajtized state feedback. IEEE Trans. Automat. Control, AC-35-8:916-924, 1990.
6. N. Elia and S. K. Mitter. Stabilization of linear systems with limited information. IEEE Trans. on Automatic Control, AC-46-9:1384-1400, 2001.
7. T. T. Geougiou and M. C. Smith. Robustness analysis of nonlinear feedback systems: An input-output approach. IEEE Trans. Auto. Control, AC-42-9:1200-1221, 1997.
8. U. Grenander and G. Szegö. Toeplitz forms and their applications. Chelsea Publishing Company, New York, 2nd edition, pp.65, 1984.
9. G. N. Nair and R. J. Evans. Stabilization with data-rate-limited feedback: tightest attainable bounds. Systems and Control Letters, 41:49-56, 2000.
10. G. N. Nair and R. J. Evans. Mean square stabilisability of stochastic linear systems with data rate constraints. In Proceedings of the 41st IEEE Conference on Decision and Control, pages 1632-1637, 2002.
11. A. Papoulis and S.U. Pillai. Probability, random variables and stochastic processes. McGraw Hill, New York, 2002.
12. A. Sahai. Evaluating channels for control: Capacity reconsidered. In Proceedings of the American Control Conference, pages 2358-2362, 2000.
13. S.C. Tatikonda. Control under communication constraints. PhD thesis, Massachusetts Institute of Technology, 2000.
14. W. S. Wong and R. W. Brockett. Systems with finite communication bandwidth constraints, i. state estimation problems. IEEE Trans. Automat. Control, AC-42-9:1294-1299, 1997.
15. W. S. Wong and R. W. Brockett. Systems with finite communication bandwidth constraints, ii. stabilization with limited information feedback. IEEE Trans. Automat. Control, AC-44-5:1049-1053, 1999.
16. D.C. Youla, J.J. Bongiorno, and C.N. Lu. Singla-loop feedback-stabilization of linear multivariable dynamical plants. Automatica, 10:159-173, 1974.