Identifiability issues for parameter-varying and multidimensional linear systems1

Proceedings of the ASME Design Engineering Technical Conference

Volumn 1A-1997, Issue , 1997, Pages

  Lee, Lawton H ^a   Poolla, Kameshwar ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS; MATHEMATICAL OPERATORS; MAXIMUM LIKELIHOOD ESTIMATION; NONLINEAR PROGRAMMING; SINGULAR VALUE DECOMPOSITION; VIBRATIONS (MECHANICAL);

ITERATIVE PARAMETER ESTIMATION; LINEAR OPERATORS; LINEAR PARAMETER VARYING; LINEAR TIME INVARIANT; MULTIDIMENSIONAL SYSTEMS; NONLINEAR PROGRAMS; ORTHOGONAL COMPLEMENTS; ORTHOGONAL DIRECTIONS;

UNCERTAINTY ANALYSIS;

EID: 34447504244     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC97/VIB-4240     Document Type: Conference Paper

References (23)

1. Apkarian, P., and Gahinet, P., 1995, \A Convex Char-acterization of Gain-Scheduled H1 Controllers," IEEE Transactions on Automatic Control, vol. 40, pp. 853-864
2. Apkarian, P., and Gahinet, P., 1995, \Erratum to A Convex Characterization of Gain-Scheduled H1 Con-trollers,' " IEEE Transactions on Automatic Control, vol. 40, p. 1681
3. Beck, C. L., D'Andrea, R., Paganini, F., Lu, W.-M., and Doyle, J., 1996, \A State-Space Theory of Uncertain Systems," Proceedings of the 13th IFAC World Congress, vol. G, pp. 291-296
4. Beck, C. L., Doyle, J., and Glover, K., 1996, \Model Re-duction of Multidimensional and Uncertain Systems," IEEE Transactions on Automatic Control, vol. 41, pp. 1466-1477
5. Belcastro, C. M., Chang, B.-C., and Fischl, R., 1996, \A Matrix Approach to Low-Order Uncertainty Modeling of Real Parameters," Proceedings of the 13th IFAC World Congress, vol. G, pp. 297-302
6. Callier, F. M., and Desoer, C. A., 1991, Linear System Theory, Springer-Verlag, New York
7. Cockburn, J. C., and Morton, B. G., 1996, \On Linear Fractional Representations of Systems with Parametric Un-certainty," Proceedings of the 13th IFAC World Congress, vol. G, pp. 315-320
8. Dennis, J. E., and Schnabel, R. B., 1983, Numeri-cal Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cli-s, NJ
9. Deutsch, R., 1965, Estimation Theory, Prentice-Hall, Englewood Cli-s, NJ
10. Doyle, J. C., 1982, \Analysis of Feedback Systems with Structured Uncertainties," IEE Proceedings, Part D, vol. 129, pp. 242-250
11. Gupta, N. K., and Mehra, R. K., 1974, \Computational Aspects of Maximum Likelihood Estimation and Reduction in Sensitivity Function Calculations," IEEE Transactions on Automatic Control, vol. 19, pp. 774-783
12. Hazewinkel, M., and Kalman, R., 1975, \On Invari-ants, Canonical Forms and Moduli for Linear, Constant, Finite-Dimensional, Dynamical Systems," Proceedings of the CNR-CISM Symposium on Algebraic System Theory, Udine, and in Lecture Notes in Economics Math. Syst. The-ory, vol. 131, Springer-Verlag, Heidelberg, pp. 48-60
13. Lambrechts, P., Terlouw, J., Bennani, S., and Stein-buch, M., 1993, \Parametric Uncertainty Modeling Using LFTs," Proceedings of the 1993 American Control Confer-ence, vol. 1, pp. 267-272
14. Lee, L. H., 1997, Identi-cation and Robust Control of Linear Parameter-Varying Systems, Ph.D. dissertation, De-partment of Mechanical Engineering, University of Califor-nia at Berkeley
15. Lee, L. H., and Poolla, K., 1996, \Identi-cation of Lin-ear Parameter-Varying Systems via LFTs," Proceedings of the 35th IEEE Conference on Decision and Control, vol. 2, pp. 1545-1550
16. Ljung, L., 1987, System Identi-cation: Theory for the User, Prentice-Hall, Englewood Cli-s, NJ
17. Luenberger, D., 1967, \Canonical Forms for Linear Multivariable Systems," IEEE Transactions on Automatic Control, vol. 12, pp. 290-293
18. Nemani, M., Ravikanth, R., and Bamieh, B. A., 1995, \Identi-cation of Linear Parametrically Varying Systems," Proceedings of the 34th IEEE Conference on Decision and Control, vol. 3, pp. 2990-2995
19. van Overbeek, A. J. M., and Ljung, L., 1982, \On-line structure selection for multivariable state space models," Automatica, vol. 18, pp. 529-543
20. Packard, A., 1994, \Gain Scheduling via Linear Frac-tional Transformations," Systems & Control Letters, vol. 22, pp. 79-92
21. Sandell, N. R., Jr., and Yared, K. I., 1978, \Maxi-mum Likelihood Identi-cation of State Space Models for Linear Dynamic Systems," Electron Systems Laboratory, MIT, Cambridge, MA, Rep. ESL-R-814
22. Segal, M., and Weinstein, E., 1989, \A New Method for Evaluating the Log-Likelihood Gradient, the Hessian, and the Fisher Information Matrix for Linear Dynamic Sys-tems," IEEE Transactions on Automatic Control, vol. 35, pp. 682-687
23. Zhou, K., Doyle, J. C., and Glover, K., 1995, Robust and Optimal Control, Prentice-Hall, Upper Saddle River, NJ