Relations between uncertainty structures in identification for robust control

Automatica

Volumn 41, Issue 3, 2005, Pages 439-457

  Douma, Sippe G ^a   Van Den Hof, Paul M J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Gap metric; Identification for control; Model uncertainty; Robust control; Robust stability; System identification; Youla parametrization

Indexed keywords

CONTROL EQUIPMENT; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PRODUCT DESIGN; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING; UNCERTAIN SYSTEMS;

GAP METRICS; IDENTIFICATION FOR CONTROL; MODEL UNCERTAINTY; YOULA PARAMETRIZATION;

IDENTIFICATION (CONTROL SYSTEMS);

EID: 13244262986     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.11.005     Document Type: Conference Paper

References (35)

1. Albertos, P., & Sala, V. (Eds.), (2002). Iterative identification and control. London, UK: Springer.
2. X. Bombois, M. Gevers, G. Scorletti, and B.D.O. Anderson Robustness analysis tools for an uncertainty set obtained by prediction error identification Automatica 37 2001 1629 1636
3. Bombois, X., Scorletti, G., Gevers, M., Hildebrand, R., & Van den Hof, P. (2004). Cheapest open-loop identification for control, Proc. 43rd IEEE Conference on Decision and Control, Paradise Island, The Bahamas, December 2004, pp. 382-387.
4. M.C. Campi, A. Lecchini, and S.M. Savaresi Virtual reference feedback tuning a direct method for the design of feedback controllers Automatica 38 8 2002 1337 1346
5. Chen, J., & Gu, G. (2000). Control oriented system identification. New York: Wiley.
6. De Callafon, R. A. (1998). Feedback oriented identification for enhanced and robust control. Ph.D. thesis, Mechanical Engineering Systems and Control Group, Delft University Technology.
7. R.A. de Callafon, and P.M.J. Van den Hof Suboptimal feedback control by a scheme of iterative identification and control design Mathematical Modelling of Systems 3 1 1997 77 101
8. R.A. De Callafon, and P.M.J. Van den Hof Multivariable feedback relevant system identification of a wafer stepper system IEEE Transactions on Control Systems Technology 9 2 2001 381 390
9. D.K. de Vries, and P.M.J. Van den Hof Quantification of uncertainty in transfer function estimation a mixed probabilistic - worst-case approach Automatica 31 4 1995 543 557
10. Dötsch, J. G. M., 1998. Identification for control design with application to a compact disk mechanism. Ph.D. thesis, Mechanical Engineering Systems and Control Group, Delft University Technology.
11. Douma, S. G., 2005. From data to robust control. System identification uncertainty and robust control design. Ph.D. thesis, Delft Center for Systems and Control, Delft University Technology.
12. S.G. Douma, P.M.J. Van den Hof, and O.H. Bosgra Controller tuning freedom under plant identification uncertainty double youla beats gap in robust stability Automatica 39 2 2003 325 333
13. Gevers, M., 1993. Towards a joint design of identification and control. In H. L. Trentelman & J. C. Willems (Eds.), Essays on control: perspectives in the theory and its applications (pp. 111-115). Boston: Birkhäuser, 1993.
14. M. Gevers, X. Bombois, B. Codrons, G. Scorletti, and B.D.O. Anderson Model validation for control and controller validation in a prediction error identification framework Automatica 39 3 2003 403 428
15. ∞-norm bound and relations to risk sensitivity Systems and Control Letters 11 1988 167 172
16. G.C. Goodwin, M. Gevers, and B.M. Ninness Quantifying the error in estimated transfer functions with application to model order selection IEEE Transactions on Automatic Control 37 1992 913 928
17. Hakvoort, R. G. (1994). A linear programming approach to the identification of frequency domain error bounds. In Proceedings of the 10th IFAC symposium on system identification, vol. 2 (pp. 195-200).
18. R.G. Hakvoort, and P.M.J. Van den Hof Identification of probabilistic uncertainty regions by explicit evaluation of bias and variance errors IEEE Transactions on Automatic Control 42 11 1997 1516 1528
19. W.P. Heath Bias of indirect non-parametric transfer function estimates for plants in closed loop Automatica 37 2001 1529 1540
20. R. Hildebrand, and M. Gevers Identification for control optimal input design with respect to a worst-case ν-gap cost function SIAM Journal on Control and Optimization 41 5 2003 1586 1608
21. Hjalmarsson, H. (2005). From experiment design to closed-loop control. Automatica, 41(3), this issue.
22. I. Horowitz Synthesis of feedback systems 1963 Academic Press New York, USA
23. I. Horowitz Survey of quantitative feedback theory (QFT) International Journal of Control 53 2 1991 255 291
24. Lindqvist, K., & Hjalmarsson, H. (2001). Identification for control: adaptive input design using convex optimization. In 40th IEEE conference on decision and control, Orlando, FL, USA, pp. 4326-4331.
25. L. Ljung System identification theory for the user 1987 Prentice-Hall Englewood Cliffs, New Jersey, USA
26. ∞ synthesis IEEE Transactions Automatic Control 37 1992 759 769
27. Milanese, M., Norton, J., Piet-Lahanier, H., & Walter, E. (Eds.) (1996). Bounding approaches to system identification. New York: Plenum Press.
28. ∞ identification IEEE Transactions on Automatic Control 47 10 2002 1682 1690
29. T.T. Tay, J.B. Moore, and R. Horowitz Indirect adaptive techniques for fixed controller performance enhancement International Journal of Control 50 5 1989 1941 1959
30. P.M.J. Van den Hof Closed-loop issues in system identification Annual Reviews in Control 22 1998 173 186
31. P.M.J. Van den Hof, and R.J.P. Schrama Identification and control-closed loop issues Automatica 31 12 1995 1751 1770
32. Van den Hof, P. M. J., Schrama, R. J. P., & Bongers, P. M. M. (1994). On nominal models, model uncertainty and iterative methods in identification and control design. In R.S. Smith & M.A. Dahleh (Eds.), The modeling of uncertainty in control systems. Lecture notes in control and information sciences, vol. 192 (pp. 39-50). New York: Springer.
33. Vidyasagar, M. (1985). Control system synthesis: a factorization approach. Cambridge, MA, USA: MIT Press.
34. ∞ loop-shaping and the ν-gap metric. London, UK: Imperial College Press.
35. Zhou, K., Doyle, J.C., Glover, K. (1996) Robust and optimal control. New Jersey, USA: Prentice-Hall.