Quantized stabilization of markov jump linear systems via state feedback

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 4020-4025

  Xiao, Nan ^a   Xie, Lihua ^a   Fu, Minyue ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR TIME-INVARIANT; LOGARITHMIC QUANTIZER; MARKOV JUMP LINEAR SYSTEMS; MARKOV JUMP SYSTEM; MEAN SQUARE; MODE INFORMATION; NETWORKED CONTROL SYSTEMS; QUADRATIC CONTROL; QUADRATIC STABILITY; QUANTIZED FEEDBACK; QUANTIZED STATE; QUANTIZER DESIGN; SECTOR BOUND APPROACH; STABILIZATION PROBLEMS;

CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; FEEDBACK; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; STABILIZATION; SYSTEM STABILITY;

STATE FEEDBACK;

EID: 70449672764     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5160106     Document Type: Conference Paper

References (17)

1. R. Kalman, "Nonlinear aspects of sampled-data control systems," Proceedings, Symposium on Nonlinear Circuit Analysis VI, pp. 273- 313, 1956.
2. N. Elia and S. Mitter, "Stabilization of linear systems with limited information," Automatic Control, IEEE Transactions on, vol. 46, no. 9, pp. 1384-1400, 2001.
3. M. Fu and L. Xie, "The sector bound approach to quantized feedback control," Automatic Control, IEEE Transactions on, vol. 50, no. 11, pp. 1698-1711, 2005.
4. H. Gao and T. Chen, "A new approach to quantized feedback control systems," Automatica, vol. 44, no. 2, pp. 534-542, 2008.
5. S. Hu and W. Yan, "Stability robustness of networked control systems with respect to packet loss," Automatica, vol. 43, no. 7, pp. 1243-1248, 2007.
6. P. Seiler and R. Sengupta, "An H1 approach to networked control," Automatic Control, IEEE Transactions on, vol. 50, no. 3, pp. 356-364, 2005.
7. J. Xiong and J. Lam, "Stabilization of linear systems over networks with bounded packet loss," Automatica, vol. 43, no. 1, pp. 80-87, 2007.
8. N. Elia, "Remote stabilization over fading channels," Systems & Control Letters, vol. 54, no. 3, pp. 237-249, 2005.
9. B. Sinopoli, L. Schenato, M. Franceschetti, K. Poolla, M. Jordan, and S. Sastry, "Kalman filtering with intermittent observations," Automatic Control, IEEE Transactions on, vol. 49, no. 9, pp. 1453-1464, 2004.
10. M. Huang and S. Dey, "Stability of Kalman filtering with Markovian packet losses," Automatica, vol. 43, no. 4, pp. 598-607, 2007.
11. L. Xie and L. Xie, "Peak covariance stability of a random Riccati equation arising from Kalman filtering with observation losses," Journal of Systems Science and Complexity, vol. 20, no. 2, pp. 262-272, 2007.
12. L. Schenato, B. Sinopoli, M. Franceschetti, K. Poolla, and S. Sastry, "Foundations of control and estimation over lossy networks," Proceedings of the IEEE, vol. 95, no. 1, pp. 163-187, 2007.
13. H. Hoshina, K. Tsumura, and H. Ishii, "The coarsest logarithmic quantizers for stabilization of linear systems with packet losses," Decision and Control, 46th IEEE Conference on, pp. 2235-2240, 2007.
14. E. Boukas and Z. Liu, "Robust H1 control of discrete-time Markovian jump linear systems with mode-dependent time-delays," Automatic Control, IEEE Transactions on, vol. 46, no. 12, pp. 1918-1924, 2001.
15. N. Xiao, L. Xie, and M. Fu, "Quantized stabilization of Markov jump linear systems," Nanyang Technological University, Singapore, Tech. Rep., 2009. [Online]. Available: http://www3.ntu.edu.sg/home2007/ xiao0023/TRQSMJL09. pdf
16. C. de Souza, "Robust stability and stabilization of uncertain discretetime Markovian jump linear systems," Automatic Control, IEEE Transactions on, vol. 51, no. 5, pp. 836-841, 2006.
17. Y. Fang and K. Loparo, "Stochastic stability of jump linear systems," Automatic Control, IEEE Transactions on, vol. 47, no. 7, pp. 1204- 1208, 2002.