Discrete-time quantized H∞ filtering with quantizer ranges consideration

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 5659-5664

  Che, Wei Wei ^a,b   Yang, Guang Hong ^a  

^a NORTHEASTERN UNIVERSITY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

AUGMENTED SYSTEMS; DISCRETE TIME SYSTEM; DISCRETE-TIME; DYNAMIC SCALING; FILTER DESIGNS; FILTERING PROBLEMS; NUMERICAL EXAMPLE; PERFORMANCE REQUIREMENTS; QUANTIZERS; TRANSMISSION CHANNELS;

CONTINUOUS TIME SYSTEMS; CONVEX OPTIMIZATION; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS;

FILTER BANKS;

EID: 70449642953     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5160071     Document Type: Conference Paper

References (24)

1. ∞ FIR filters for linear continuous- time state-space systems," IEEE Signal Processing Letters, vol. 13, no. 9, pp. 557-560, Sep. 2006.
2. R. W. Brockett and D. Liberzon, "Quantized feedback stabilization of linear systems," IEEE Transactions on Automatic Control, vol. 45, no. 7, pp. 1279-1289, 2000.
3. J. Baillieul, "Feedback designs in information-based control," Stochastic Theory and Control, Lecture Notes in Control and Information Sciences, B. Pasik-Duncan (ed.),Springer-Veralg LNCIS 280, pp. 35-37.
4. ∞ control of linear systems with state quantization," Information Sciences, pp. 5763-5774, 2007.
5. D. F. Delchamps, "Stabilizing a linear system with quantized state feedback," IEEE Transactions on Automatic Control, vol. 35, no. 8, pp. 916-924, 1990.
6. N. Elia and S. K. Mitter, "Stabilization of linear systems with limited information," IEEE Transactions on Automatic Control, vol. 46, no. 9, pp. 1384-1400, 2001.
7. R. W. Eustace, B. A. Woodyatt, G. L. Merrington, and A. Runacres, "Fault signatures obtained from fault implant tests on an F404 engine," ASME Trans. J. Engine, Gas Turbines, Power, vol. 116, no. 1, pp. 178-183, 1994.
8. F. Fagnani and S. Zampieri, "Stability analysis and synthesis for scalar linear systems with a quantized feedback," IEEE Transactions on Automatic Control, vol. 48, no. 9, pp. 1569-1584, 2003.
9. M. Y. Fu and L. H. Xie, "The sector bound approach to quantized feedback control," IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1698-1711, 2005.
10. M. Y. Fu and L. H. Xie, "Finite-level quantized feedback control for linear systems," Proceedings of the 45th IEEE Conference on Decision and Control, USA, pp. 1117-1122, 2006.
11. Gahinet P, Nemiovski A, Laub A J, Chilali M. LMI Control Toolbox, Natick, MA: The MathWorks, 1995.
12. H. Gao and T. Chen, "A poly-quadratic approach to quantized feedback systems," Proceedings of the 45th IEEE Conference on Decision and Control, USA, pp. 5495-5500, 2006.
13. D. Liberzon, "Hybrid feedback stabilization of systems with quantized signals", Automatica, vol. 39, pp. 1543-1554, 2003.
14. Q. Ling and M. D. Lemmon, "Stability of quantized control systems under dynamic bit assignment," IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 734-740, 2005.
15. A. Mitra, M. Chakrabory and H. Sakai, " A block floating- pointtreatment to the LMS algorithm: efficient realizaiton and a roundoff eror analysis," IEEE Transactions on Signal Processing, vol. 53, no. 12, pp. 4536 - 4544 , 2005.
16. G. N. Nair and R. J. Evans, "Exponential stabilizability of finitedimensional linear systems with limited data rates," Automatica, vol. 39, pp. 585-593, 2003.
17. R. L. de Queiroz and P. A. Stein, "LUT filters for quantized processing of signals,"IEEE Transactions on Signal Processing, vol. 52, no. 3, pp. 687-693, 2004.
18. A. Sahai, "The necessity and sufficiency of anytime capacity for control over a noisy communication link," Proceedings of the 43th IEEE Conference on Decision and Control, vol. 2, pp. 1896-1901, Bahamas, 2004.
19. S. Tatikonda, "Control under Communication Constraints," Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, 2000.
20. S. Tatikonda and S. Mitter, "Control over noisy channels, "IEEE Transactions on Automatic Control, vol. 49, no. 7, pp. 1196-1201, 2004.
21. T. Wigren, "Adaptive filtering using quantized output measurements," IEEE Transactions on Signal Processing, vol. 46, no. 12, pp. 3423-3426, 1998.
22. W. S. Wong and R. W. Brockett, "Systems with finite communication bandwidth constraints II: stabilization with limited information feedback," IEEE Transactions on Automatic Control, vol. 44, pp. 1049-1053, 1999.
23. ∞ Filtering Against Sensor Failures," IEEE Transactions on Signal Processing, vol. 55, no. 7, pp. 3161-3171, 2007.
24. ∞ feedback control systems with two quantized signals," Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, pp. 346-350, 2006.