Stability of zeros of discrete-time multivariable systems with GSHF

Proceedings of the 2009 IEEE International Conference on Networking, Sensing and Control, ICNSC 2009

Volumn , Issue , 2009, Pages 384-387

  Liang, Shan ^a   Xian, Xiaodong ^a   Xie, Kaiming ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME; DISCRETE TIME SYSTEM; DISCRETE-TIME; HOLD FUNCTION; LIMITING ZEROS; NATURAL EXTENSION; SINGLE INPUT SINGLE OUTPUT SYSTEMS; SMALL SAMPLING;

CONTINUOUS TIME SYSTEMS; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; MULTIVARIABLE SYSTEMS; SAMPLING;

SYSTEM STABILITY;

EID: 70349093565     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICNSC.2009.4919306     Document Type: Conference Paper

References (20)

1. D. W. Clarke, "Self-tuning control of nonminimum-phase systems," Automatica, vol.20, pp. 501-517, 1984.
2. K. J. Å ström and B. Wittenmark, Adaptive Control. Addison-Wesley, 1989.
3. -, Computer Controlled Systems: Theory and Design, 2nd ed. Englewood Cliffs, New Jersey: Prentice-Hall, 1990.
4. K. J. Åström, P. Hagander, and J. Sternby, "Zeros of sampled systems," Automatica, vol.20, pp. 31-38, 1984.
5. T. Hagiwara, T. Yuasa, and M. Araki, "Stability of the limiting zeros of sampled-data systems with zero- and first-order holds," International Journal of Control, vol.58, pp. 1325-1346, 1993.
6. M. J. Blachuta, "On zeros of pulse transfer functions," IEEE Transactions on Automatic Control, vol.44, pp. 1229-C1234, 1999.
7. M. Ishitobi, "Stable zeros of sampled low-pass systems," International Journal of Control, vol.57, pp. 1485-1498, 1993.
8. K. M. Passino and P. J. Antsaklis, "Inverse stable sampled low-pass systems," International Journal of Control, vol.47, pp. 1905-1913, 1988.
9. M. J. Blachuta, "On zeros of sampled systems," in Proceedings of 1997 American Control Conference, Albuquerque, NM, June 1997, pp. 3205-3210.
10. F. R. Gantmacher, The Theory of Matrices, Vols. I and II. NewYork: Chelsea, 1959.
11. Y. Hayakawa, S. Hosoe, and M. Ito, "On the limiting zeros of sampled multivariable systems," Systems and Control Letters, vol.2, no.5, pp. 292-300, 1983.
12. S. R. Weller, "Limiting zeros of decouplable MIMO systems," IEEE Transactions on Automatic Control, vol.AC-44, pp. 129-134, 1999.
13. M. Ishitobi, "A stability condition of zeros of sampled multivariable systems," IEEE Transactions on Automatic Control, vol.AC-45, pp. 295-299, 2000.
14. S. Liang, M. Ishitobi, W. Shi, and X. Xian, "On stability of the limiting zeros of discrete-time mimo systems," ACTA Automatica SINICA, vol.33, pp. 439-441, 2007, (in Chinese).
15. S. Liang, M. Ishitobi, and Q. Zhu, "Improvement of stability of zeros in discrete-time multivariable systems using fractional-order hold," International Journal of Control, vol.76, pp. 1699-1711, 20034.
16. J. T. Chan, "On the stabilization of discrete system zeros," International Journal of Control, vol.69, no.6, pp. 789-796, 1998.
17. S. Liang and M. Ishitobi, "Properties of zeros of discretised system using multirate input and hold," IEE Proceedings-Control Theory and Applications, vol.151, pp. 180-184, 2004.
18. C. B. Schrader and M. K. Sain, "Research on system zeros: a survey," International Journal of Control, vol.50, no.4, pp. 1407-1433, 1989.
19. P. J. Antsaklis and A. N. Michel, Linear Systems. NewYork: McGraw-Hill, 1997.
20. H. H. Rosenbrock, State-Space and Multivariable Theory. London: Nelson, 1970.