Robust stabilization over communication channels in the presence of unstructured uncertainty

IEEE Transactions on Automatic Control

Volumn 54, Issue 4, 2009, Pages 830-834

  Sun, Junqing ^a   Djouadi, Seddik M ^a  

^a University of Tennessee   (United States)

Author keywords

Communication constraints; Control over networks; Robust stability; Robustness; Uncertainty

Indexed keywords

COMMUNICATION CHANNELS; COMMUNICATION CONSTRAINTS; COPRIME; FIXED POINTS; ILLUSTRATIVE EXAMPLES; LINEAR FRACTIONAL TRANSFORMATIONS; LOWER BOUNDS; ROBUST STABILITY; ROBUST STABILIZATIONS; ROBUSTNESS; TECHNICAL NOTES; UNCERTAINTY; UNSTRUCTURED UNCERTAINTIES;

CHANNEL CAPACITY; COMMUNICATION; COMMUNICATION CHANNELS (INFORMATION THEORY); ROBUSTNESS (CONTROL SYSTEMS); STABILIZATION; SYSTEM STABILITY;

UNCERTAINTY ANALYSIS;

EID: 67349124854     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.2009672     Document Type: Article

References (18)

1. G. N. Nair and R. J. Evans, "Stabilization with data-rate-limited feedback: Tightest attainable bounds," Syst. Control Lett., vol. 41, no. 1, pp. 49-56, Sep. 2000.
2. S. Tatikonda and S. Mitter, "Control over noisy channels," IEEE Trans. Automat. Control, vol. 49, no. 7, pp. 1196-1201, Jul. 2004.
3. N. Elia and S. K. Mitter, "Stabilization of linear systems with limited information," IEEE Trans. Automat. Control, vol. 46, no. 9, pp. 1384-1400, Sep. 2001.
4. C. D. Charalambous, A. Farhadi, S. Denic, and F. Rezaei, "Robust control over uncertain communication channels," in Proc. 13th Med. Conf. Control Automat., Limassol, Cyprus, Jun. 27-29, 2005, pp. 737-742.
5. K. Zhou, Essentials of Robust Conrol. Englewood Cliffs, NJ: Prentice Hall, 1998, pp. 142-145.
6. M. S. Verma, J. W. Helton, and E. A. Jonckheere, "Robust stabilization of a family of plants with varying number of right half plane poles," in Proc. Amer. Control Conf., 1986, pp. 1827-1832.
7. P. P. Khargonekar, T. T. Georgiou, and A. M. Pascoal, "On the robust stabilizability of linear time-invariant plants with unstructured uncertainty," IEEE Trans. Automat. Control, vol. AC-32, no. 3, pp. 201-207, Mar. 1987.
8. M. Vidyasagar and H. Kimura, "Robust controllers for uncertain linear multivariable systems," Automatica, vol. 22, pp. 85-94, 1986.
9. M. Vidyasagar, Control System Synthesis: A Factorization Approach. Cambridge, MA: MIT Press, 1985.
10. T. T. Kadota, M. Zakai, and J. Ziv, "Mutual information of the white Gaussian channel with and withought feedback," IEEE Trans. Inform. Theory, vol. IT-17, no. 4, pp. 368-371, Nov. 1971.
11. C. D. Charalambous, S. Z. Denic, and A. Farhadi, "Control of continuous-time systems over wireless communication channels," IEEE Trans. Automat. Control, vol. 53, no. 4, pp. 1013-1019, May 2008.
12. R. M. Redheffer, "On a certain linear fractional transformations," J. Math. Phys., vol. 39, pp. 269-286, 1960.
13. K. Tsumura and J. Maciejowski, "Stabilizability of SISO control systems under constraints of channel capacities," in Proc. 42nd IEEE Conf. Decision Control, 2003, pp. 193-198.
14. S. M. Djouadi, "Operator theoretic approach to the optimal two-disk problem," IEEE Trans. Automat. Control, vol. 49, no. 10, pp. 1607-1622, Oct. 2004.
15. S. Tatikonda and S. Mitter, "Stochastic linear control over a communication channel," IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1549-1561, Sep. 2004.
16. N. C. Martins and M. A. Dahleh, "Fundamental limitations of performance in the presence of finite capacity feedback," in Proc. ACC, Jun. 2005, pp. 79-86.
17. N. C. Martins, M. A. Dahleh, and N. Elia, "Feedback stabilization of uncertain systems using a stochastic digital link," in Proc. CDC, Dec. 2004, pp. 1889-1895.
18. N. C. Martins, Finite Gain l_p Stabilization Requires Analog Control Institute for Systems Research, Technical Research Report TR 2005-111 [Online]. Available: http://www.isr.umd.edu