Quantized feedback stabilization of hybrid impulsive control systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 3903-3908

  Yang, Zhichun ^a,b   Hong, Yiguang ^b   Jiang, Zhong Ping ^c   Wang, Xiaoli ^b  

^a CHONGQING NORMAL UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

^c POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Hybrid control; Impulsive systems; Quantization; Stabilization

Indexed keywords

LINEAR CONTROL SYSTEMS; STABILIZATION;

FEEDBACK STABILIZATION; HYBRID CONTROLS; IMPULSIVE CONTROL SYSTEMS; IMPULSIVE SYSTEMS; QUANTIZATION; QUANTIZED CONTROL; QUANTIZED FEEDBACK; QUANTIZED SYSTEMS;

FEEDBACK;

EID: 77950826822     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400333     Document Type: Conference Paper

References (21)

1. R.E. Kalman, Nonlinear aspects of sampled-data control systems, In Proceedings of the symposium on nonlinear circuit theory, Brooklyn, NY, 1956.
2. A. Bicchi, A. Marigo and B. Piccoli. On the reachability of quantized control systems. IEEE Transactions on Automatic Control, 47(4), 2002, pp.546C563.
3. D. F. Delchamps, Stabilizing a linear system with quantized state feedback, IEEE Transactions on Automatic Control, 35(8),1990, pp.916-924.
4. N. Elia and S. K. Mitter, Stabilization of linear systems with limited information, IEEE Transactions on Automatic Control, 46(9), 2001, pp. 1384-1400.
5. F. Fagnani and S. Zampieri, Stability analysis and synthesis for scalar linear systems with a quantized feedback, IEEE Transactions on Automatic Control, 48(9), 2003, pp. 1569-1584.
6. M. Fu and L. Xie, The sector bound approach to quantized feedback control, IEEE Transactions on Automatic Control, 50(11), 2005, pp.1698-1711.
7. W. S. Wong and R. W. Brockett, Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback, IEEE Transactions on Automatic Control, 44(5), 1049-1053.
8. H. Gao and T. Chen, A new approach to quantized feedback control systems, Automatica, 44, 2008, pp. 534-542.
9. R. W. Brockett and D. Liberzon, Quantized feedback stabilization of linear systems, IEEE Transactions on Automatic Control, 45(7), 2000, pp. 1279-1289.
10. D. Liberzon, Hybrid feedback stabilization of systems with quantized signals, Automatica, 39(9), 2003, pp.1543-1554.
11. Q. Ling and M. D. Lemmon, Stability of quantized control systems under dynamic bit assignment, IEEE Transactions on Automatic Control, 50(5), 2005, pp.734-740.
12. G. N. Nair and R. J. Evans, Stabilization with data-rate-limited feedback: Tightest attainable bounds, Systems & Control Letters, 41, 2000, pp.49-56.
13. G. N. Nair and R. J. Evans, Exponential stabilisability of finitedimensional linear systems with limited data rates, Automatica, 39(4), 2003, pp. 585-593.
14. S. Tatikonda and S. Mitter, Control under communication constraints, IEEE Transactions on Automatic Control, 49(7), 2004, pp. 1056-1068.
15. V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, Theory of Impulsive Differential Equations, Singapore: World Scientific, 1989.
16. T. Yang, Impulsive Systems and Control: Theory and Application, New York: Nova Science Publishers, 2001.
17. J. Hespanha, D. Liberzon, A. Teel. Lyapunov Characterizations of Input-to-State Stability for Impulsive Systems. Automatica, 44(11), Nov. 2008, 2735-2744.
18. Z. G. Li,Y. C. Wen, and Y. C. Soh, Analysis and design of impulsive control systems, IEEE Trans. Automat. Contr., vol.46, June 2001, pp. 894-897.
19. Z. Yang and D. Xu, Stability analysis and design of impulsive control system with time delay, IEEE Transactions on Automatic Control, 52(8), 2007, pp. 1148-1154.
20. Z. Yang and D. Xu, Robust stability of uncertain impulsive control systems with time-varying delay, Computers and Mathematics with Applications, Volume 53, Issue 5, March 2007, Pages 760-769.
21. Z. Yang and Y. Hong, Stability of hybrid impusive systems with time delays and stochastic effects, IFAC World Congress, Seoul, Korea, 2008, pp. 5933-5938.