On quantized control for Markovian jump linear system over networks with limited information

Proceedings of 2009 7th Asian Control Conference, ASCC 2009

Volumn , Issue , 2009, Pages 226-231

  Liu, Ming ^a   Ho, Daniel W C ^a   Lu, Jianquan ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME; LIMITED COMMUNICATION; LIMITED INFORMATION; LOGARITHMIC MODES; LOGARITHMIC QUANTIZER; MARKOVIAN JUMP LINEAR SYSTEMS; MARKOVIAN JUMP PARAMETERS; MARKOVIAN SWITCHING; NUMERICAL EXAMPLE; QUANTIZED CONTROL; QUANTIZER DESIGN; QUANTIZERS; STOCHASTIC STABILITY; TRANSITION RATES;

LINEAR SYSTEMS; STOCHASTIC SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 71449120940     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. J. Baillieul. Feedback designs in information-based control. Lecture Notes in Control and Information Sciences, pages 35-58, 2002.
2. E.K. Boukas and Z.K. Liu. Deterministic and stochastic time delay systems. Birkhauser, 2002.
3. R.W. Brockett and D. Liberzon. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control, 45(7): 1279-1289, 2000.
4. ∞ control of uncertain Markovian jumpsystems with time-delay. IEEE Transactions on Automatic Control, 45(1):77-83, 2000.
5. C.A. Desoer and M. Vidyasagar. Feedback systems: input-output properties. Academic Press, Inc. Orlando, FL, USA, 1975.
6. N. Elia. Design of hybrid systems with guaranteed performance. In Decision and Control, 2000. Proceedings of the 39th IEEE Conference on, volume 1, 2000.
7. N. Elia. Coarsest quantizer density for quadratic stabilization of two-input linear systems. In Proc. Mediterranean Conf. Control and Automation, 2002.
8. N. Elia and E. Frazzoli. Quantized stabilization of two-input linear systems: a lower bound on the minimal quantization density. Lecture Notes in Computer Science, pages 179-193, 2002.
9. N. Elia and SK Mitter. Stabilization of linear systems with limited information. IEEE Transactions on Automatic Control, 46(9): 1384-1400, 2001.
10. M. Fu. Robust stabilization of linear uncertain systems via quantized feedback. In 42nd IEEE Conference on Decision and Control, 2003. Proceedings, volume 1, 2003.
11. M. Fu and L. Xie. The sector bound approach to quantized feedback control. IEEE Transactions on Automatic Control, 50(11):1698-1711, 2005.
12. M. Jankovic. Control Lyapunov-Razumikhin functions and robust stabilization oftime delay systems. IEEE Transactions on Automatic Control, 46(7):1048-1060, 2001.
13. C.Y. Kao and SR Venkatesh. Stabilization of linear systems with limited information multiple input case. In American Control Conference, 2002. Proceedings of the 2002, volume 3, 2002.
14. RK Miller, AN Michel, and JA Farrell. Quantizer effects on steady-state error specifications of digitalfeedback control systems. IEEE Transactions on Automatic Control, 34(6):651-654, 1989.
15. G.N. Nair, S. Dey, and R.J. Evans. Communication-lim ited stabilisability of jump Markov linear systems. In Proc. 15th Int. Symp. Math. The. New. Sys., U. Notre Dame, USA, 2002.
16. G.N. Nair and R.J. Evans. Stabilizationwithdata-rate-limitedfeedback: tightestattainablebounds. Systems & Control Letters, 41:49-56, 2000.
17. G.N. Nair and R.J. Evans. Exponential stabilisability of finite-dimensional linear systems with limited data rates. Automatica, 39(4):585-593, 2003.
18. Y. Niu, D.W.C. Ho, and X. Wang. Sliding mode control for Itô stochastic systems with Markovian switching. Automatica, 43(10):1784-1790, 2007.
19. J. Xiong and J. Lam. Stabilization of discrete-time Markovian jump linear systems via time-delayed controllers. Automatica, 42(5):747-753, 2006.
20. J. Xiong and J. Lam. Stabilization of linear systems over networks with bounded packet loss. Automatica, 43(1):80-87, 2007.
21. J. Xiong, J. Lam, H. Gao, and D.W.C. Ho. On robust stabilization of Markovian jump systems with uncertain switching probabilities. Automatica, 41(5):897-903, 2005.