Abstract
In this chapter recent results on nonparametric and mixed parametric-nonparametric l 1 identification are reviewed. These results mainly concern the evaluation of the identification errors, the design of experiment, the selection of the model structure, the construction of optimal and almost optimal algorithms, and the convergence properties of the identification algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Milanese and A. Vicino, Automatica 27, 997 (1991).
E. Walter and H. Piet-Lahanier, Math. Comp. Sim. 32, 499 (1990).
A. B. Kurzhanski, Control and Observation under Conditions of Uncertainty, Nauka, Moscow, Russia (1977).
V. M. Kuntzevich and M. Lychak, Guaranteed Estimates, Adaptation and Robustness in Control Systems, Lectures Notes in Control and Information Sciences, Springer-Verlag, Berlin, Germany (1992).
M. Milanese and A. Vicino, J. Complex. 9, 427 (1993).
G. C. Goodwin, M. Gevers, and B. Ninness, IEEE Trans. Autom. Control 37, 913 (1992).
B. Wahlberg and L. Ljung, IEEE Trans. Autom. Control 37, 900 (1992).
R. L. Kosut, M. K. Lau, and S. P. Boyd, IEEE Trans. Autom. Control 37, 929 (1992).
N. Elia and M. Milanese, in: Proceedings of the 32nd IEEE CDC, San Antonio, Texas, pp. 545-550 (1993).
M. A. Dahleh and J. B. Pearson, IEEE Trans. Autom. Control 32, 314 (1987).
C. A. Desoer and M. Vidyasagar, Feedback Systems: Input-Output Properties, Academic Press, New York (1975).
J. F. Traub, G. W. Wasilkowski, and H. Wozniakowski, Information-Based Complexity, Academic Press, New York (1988).
P. M. Makila and J. R. Partington, in: Proceedings of the 1991 ACC, pp. 70-76 (1991).
L. Lin, L. Y Wang, and G. Zames, in: Proceedings of the ACC 1992, pp. 296-300 (1992).
A. Pinkus, n-Widths in Approximation Theory, Springer-Verlag, Berlin, Germany (1985).
B. Kacewicz and M. Milanese, in: Proceedings of the IEEE 31 st Control and Decision Conference, Tucson, AZ, pp. 56-61 (1992).
B. Kacewicz and M. Milanese, Jour. Adapt. Contr. Signal Process 9, 87–96 (1994).
J. Chen, C. N. Nett, and M. K. Fan, in: Proceedings of the 1992 American Control Conference, pp. 279-286, Chicago, IL (1992).
M. Milanese and B. Kacewicz, in: IIASA 1992 Workshop on Modeling Techniques for Uncertain Systems (Kurzhansky and Veliov, eds.), Birkhauser, Boston, MA (1994).
M. A. Dahleh, T. Theodosopoulos, and J. N. Tsitsiklis, in: Proceedings of the 32nd IEEE CDC, San Antonio, Texas (1993).
K. Poolla and A. Tikku, Proceedings of the 1993 ACC, San Francisco, pp. 141-145 (1993).
M. Milanese, Proceedings of IFAC-SYSID’94, Copenhagen (1994), also Automatica 31, 327 (1995).
N. Dunford and J. T. Schwarz, Linear Operators, vol. 1, Interscience, New York (1958).
M. Milanese and R. Tempo, IEEE Trans. Autom. Control 30, 730 (1985).
K. Trustrum, Linear Programming, Chap. 2, Routledge and Kegan Paul, London (1971).
T. H. Matheiss and D. S. Rubin, Math. Oper. Res. 5, 167 (1980).
S. H. Mo and J. P. Norton, Math. Conput. Simul. 32, 481 (1990).
A. Vicino and M. Milanese, IEEE Trans. Autom. Control 36, 759 (1991).
M. L. Overton, in: Nonlinear Optimization 1981 (M. J. D. Powell, ed.), Academic Press, New York (1982).
B. Z. Kacewicz, M. Milanese, R. Tempo, and A. Vicino, Syst. Control Lett. 8, 161 (1986).
P. M. Mäkä, International J. Control 54, 1189 (1991).
D. C. N. Tse, M. A. Dahleh, and J. N. Tsitsiklis, in: Control of Uncertain Dynamic Systems (S. P. Bhattacharyya and L. H. Keel, eds.), CFC Press, pp. 311-328 (1991).
C. A. Jacobson and C. N. Nett, in: Proceedings of the 1991 American Control Conference, Boston (1991).
P. M. Makila and J. R. Partington, in: Proceedings of the 1992 American Control Conference, pp. 301-306, Chicago (1992).
L. Ljung, System Identification: Theory for the User, Prentice-Hall, Englewood Cliffs, NJ (1987).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media New York
About this chapter
Cite this chapter
Milanese, M. (1996). Worst-Case l 1 Identification. In: Milanese, M., Norton, J., Piet-Lahanier, H., Walter, É. (eds) Bounding Approaches to System Identification. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9545-5_11
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9545-5_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9547-9
Online ISBN: 978-1-4757-9545-5
eBook Packages: Springer Book Archive