Data rate limitations for stabilization of uncertain systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2012, Pages 3286-3291

  Okano, Kunihisa ^a   Ishii, Hideaki ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

UNCERTAIN SYSTEMS;

CONSTRAINED CHANNELS; DATA RATE LIMITATIONS; PACKET LOSS PROBABILITY; PLANT PARAMETERS; QUANTIZATION SCHEMES; QUANTIZERS; UNCERTAINTY BOUNDS; UNIFORM QUANTIZER;

STABILIZATION;

EID: 84874231535     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2012.6426509     Document Type: Conference Paper

References (18)

1. P. J. Antsaklis and J. Baillieul (Guest Editors), "Special issue on technology of networked control systems," Proc. IEEE, vol. 95, no. 1, 2007.
2. A. Bemporad, M. Heemels, and M. Johansson (Editors), Networked Control Systems, volume 406 of Lect. Notes Contr. Info. Sci., Springer, 2010.
3. G. N. Nair and R. J. Evans, "Stabilizability of stochastic linear systems with finite feedback data rates," SIAM J. Control Optim., vol. 43, no. 2, pp. 413-436, 2004.
4. S. Tatikonda and S. Mitter, "Control under communication constraints," IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1056-1068, 2004.
5. N. Elia, "Remote stabilization over fading channels," Syst. Control Lett., vol. 54, no. 3, pp. 237-249, 2005.
6. S. Tatikonda and S. Mitter, "Control over noisy channels," IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1196-1201, 2004.
7. K. You and L. Xie, "Minimum data rate for mean square stabilization of discrete LTI systems over lossy channels," IEEE Trans. Autom. Control, vol. 55, no. 10, pp. 2373-2378, 2010.
8. D. Liberzon and J. P. Hespanha, "Stabilization of nonlinear systems with limited information feedback," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 910-915, 2005.
9. D. Nešić and D. Liberzon, "A unified framework for design and analysis of networked and quantized control systems," IEEE Trans. Autom. Control, vol. 54, no. 4, pp. 732-747, 2009.
10. W. P. M. H. Heemels, A. R. Teel, N. van de Wouw, and D. Nešić, "Networked control systems with communication constraints: Tradeoffs between transmission intervals, delays and performance," IEEE Trans. Autom. Control, vol. 55, no. 8, pp. 1781-1796, 2010.
11. V. N. Phat, J. Jiang, A. V. Savkin, and I. R. Petersen, "Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel," Syst. Control Lett., vol. 53, no. 5, pp. 347-360, 2004.
12. M. Fu and L. Xie, "Quantized feedback control for linear uncertain systems," Int. J. Robust Nonlin., vol. 20, no. 8, pp. 843-857, 2010.
13. N. C. Martins, M. A. Dahleh, and N. Elia, "Feedback stabilization of uncertain systems in the presence of a direct link," IEEE Trans. Autom. Control, vol. 51, no. 3, pp. 438-447, 2006.
14. K. Okano and H. Ishii, "Data rate limitations for stabilization of uncertain systems over lossy channels," in Proc. of the 2012 American Control Conf., pp. 1260-1265, 2012.
15. 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, 2000.
16. J. Rohn, "Systems of linear interval equations," Linear Algebra Appl., vol. 126, pp. 39-78, 1989.
17. O. L. V. Costa, M. D. Fragoso, and R. P. Marques, Discrete-Time Markov Jump Linear Systems, Springer, 2005.
18. K. Okano and H. Ishii, "Data rate limitations for stabilization of uncertain systems," Technical Report, 2012.