On control of linear systems using quantized feedback

Proceedings of the American Control Conference

Volumn 6, Issue , 2003, Pages 4567-4572

  Fu, Minyue ^a   Xie, Lihua ^b  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK CONTROL; SYSTEM STABILITY; THEOREM PROVING;

MULTIPLE-INPUT-MULTIPLE-OUTPUT (MIMO) SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0142199974     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. R. .E. Kalman, "Nonlinear aspects of sampled-data control systems," in Proceedings of the Symposium on Nonlinear Circuit Theory, vol. VII. Brooklyn, NY: Polytechnic Press, 1956.
2. R. E. Curry, Estimation and Control with Quantized Measurements, Cambridge, MA: M.I.T. Press, 1970.
3. D. F. Delchamps, "Stabilizing a linear system with quantized state feedback," IEEE Transactions on Automatic Control, vol. 35, no. 8, pp. 916-924, August, 1990.
4. R. K. Miller, A. N. Michel, and J. A. Farrel, "Quantizer effects on steady state error specifications of digital control systems," IEEE Transactions on Automatic Control, vol. 34, no. 6, pp. 651-654, June, 1989.
5. C. A. Desoer and M. Vidyasagar, Feedback Systems: InputOutput Properties. New York: Academic, 1975.
6. J. C. Willems, The Analysis of Feedback Systems. Cambridge, MA: MIT Press, 1971.
7. W. S. Wong and R. W. Brockett, "Systems with finite communication bandwidth constraints I: state estimation problems," Transactions on Automatic Control, vol. 42, no. 9, pp. 1294-1299, September, 1997.
8. W. S. Wong and R. W. Brockett, "Systems with finite communication bandwidth constraints II: stabilization with limited information feedback, " Transactions on Automatic Control, vol. 44, no. 5, pp. 1049-1053, May, 1999.
9. R. W. Brockeet and D. Liberzon, "Quantized feedback stabilization of linear systems," IEEE Transactions on Automatic Control, vol. 45, no. 7, pp. 1297-1289, July, 2000.
10. G. N. Nair and R. J. Evans, "Stabilization with data-rate-limited feedback: tightest attainable bounds," Systems and Control Letters, vol. 41, pp. 49-56, 2000.
11. N. Elia and K. Mitter, "Stabilization of Linear Systems with Limited Information," IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1384-1400, September, 2001.
12. N. Elia, "Design of hybrid systems with guaranteed performance," Proc. IEEE Conf. Decision and Contr., pp. 993-998, 2000.
13. N. Elia and E. Frazzoli, "Quantized stabilization of two-input linear systems: a lower bound on the minimal quantization density," Hybrid Systems Computation and Control, Lecture Notes in Computer Science, pp. 179-193, Springer 2002.
14. C.-Y. Kao and S. R. Venkatesh, "Stabilization of linear systems with limited information multiple input case," Proc. American Contr. Conf., pp. 2406-2411, 2002.
15. A. Packard and J. C. Doyle, "Quadartic stability with real and complex perturbations," IEEE Transactions on Automatic Control, vol. 35, pp. 198-201, 1990.
16. C. E. de Souza, M. Fu and L. Xie, "H-infinity analysis and synthesis of discrete-time systems with time-varying uncertainty," IEEE Transactions on Automatic Control, vol. 38, no. 3, pp. 459-462, 1993.