Further results on limitations to the capability of feedback

International Journal of Control

Volumn 81, Issue 1, 2008, Pages 21-42

  Ma, H B ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; UNCERTAIN SYSTEMS; UNCERTAINTY ANALYSIS;

MULTIPLE LIPSCHITZ CONSTANTS; UNCERTAIN NON-LINEAR FUNCTIONS;

FEEDBACK CONTROL;

EID: 35948929835     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170701218333     Document Type: Article

References (13)

1. K.J. Åström and B. Wittenmark, Adaptive Control, 2nd ed., Reading, MA: Addison-Wesley, 1995.
2. H. F. Chen and L. Guo, Identification and Stochastic Adaptive Control, Boston, MA: Birkhäuser, 1991.
3. L. Guo, "On critical stability of discrete-time adaptive nonlinear control", IEEE Trans. Autom. Cont., 42, pp. 1488-1499, 1997.
4. P.A. Ioannou and J. Sun, Robust Adaptive Control, Englewood Cliffs, NJ: Prentice-Hall, 1996.
5. M. Krstić, I. Kanellakopoulos and P.V. Kokotović, Nonlinear and Adaptive Control Design, New York: John Wiley & Sons, 1995.
6. H. Ma, "Capability and limitation of feedback mechanism in dealing with uncertainties of some discrete-time control cystems", PhD dissertation, submitted to Graduate School of Chinese Academy of Sciences, June, 2006.
7. L.L. Xie and L. Guo, "Adaptive control of a class of discrete-time affine nonlinear systems", Syst. Cont. Lett., 35, pp. 201-206, 1998.
8. L.L. Xie and L. Guo, "Fundamental limitations of discrete-time adaptive nonlinear control", IEEE Trans. Autom. Cont., 44, pp. 1777-1782, 1999.
9. L.L. Xie and L. Guo, "How much uncertainty can be dealt with by feedback?", IEEE Trans. Autom. Cont., 45, pp. 2203-2217, 2000.
10. F. Xue and L. Guo, "Stabilizability, uncertainty and the choice of sampling rate", in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, December, pp. 695-699, 2000.
11. G. Zames, "Feedback and optimal sensitivity: model reference transformations, weighted seminorms and approximate inverses", IEEE Trans. Autom. Cont., 23, pp. 301-320, 1981.
12. Y.X. Zhang and L. Guo,"A limit to the capability of feedback", IEEE Trans. Autom. Cont., 47, pp. 687-692, 2002.
13. K. Zhou, J.C. Doyle and K. Glover, Robust and Optimal Control, Englewood Cliffs, NJ: Prentice-Hall, 1996.