Balanced canonical forms for system identification

IEEE Transactions on Automatic Control

Volumn 44, Issue 6, 1999, Pages 1118-1131

  Bauer, Dietmar ^b   Deistler, Manfred ^a,b  

^a IEEE

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FUNCTIONS; LINEAR SYSTEMS; PARAMETER ESTIMATION; STATE SPACE METHODS;

BALANCED CANONICAL FORMS;

CONTROL SYSTEM ANALYSIS;

EID: 0032647367     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.769367     Document Type: Article

References (24)

1. J. M. Maciejowski and R. Ober, "Balanced parametrizations and canonical forms for system identification," in Proc. 8th IFAC Symp. Identification and Parameter Estimation, Beijing, China, 1988, pp. 989-996.
2. J. M. Maciejowski, "Balanced realizations in system identification," in Proc. 7th IFAC Symp. Identification and Parameter Estimation, 1985.
3. B. P. McGinnie, "A balanced view of system identification," Ph.D. dissertation, Univ. Cambridge, 1993.
4. C. T. Chou and J. M. Maciejowski, "System identification using balanced parametrizations," IEEE Trans. Automat. Contr., vol. 42, pp. 956-974, 1997.
5. B. C. Moore, "Principal component analysis in linear systems: Controllability, observability and model reduction," IEEE Trans. Automat. Contr., vol. 26, pp. 17-31, 1981.
6. E. Verriest and T. Kailath, "On generalized balanced realizations," IEEE Trans. Automat. Contr., vol. 28, pp. 833-844, Aug. 1983.
7. R. Ober, "Balanced parametrization of classes of linear systems," SIAM J. Contr. Optimization, vol. 29, no. 6, pp. 1251-1287, 1991.
8. _, "Balanced realizations: Canonical forms, parametrization, model reduction," Int. J. Contr., vol. 46, no. 2, pp. 643-670, 1987.
9. E. J. Hannan and M. Deistler, The Statistical Theory of Linear Systems. New York: Wiley, 1988.
10. C. T. Mullis and R. A. Roberts, "Synthesis of minimum roundoff noise fixed point digital filters," IEEE Trans. Circuits Syst., vol. 23, pp. 551-561, 1976.
11. L. Thiele, "On the sensitivity of linear state space systems," IEEE Trans. Circuits Syst., vol. 33, pp. 502-510, 1986.
12. E. I. Verriest and W. S. Gray, "A geometric approach to the minimum sensitivity design problem," SIAM J. Contr. Optim., vol. 33, no. 3, pp. 863-881, 1995.
13. D. Bauer and M. Deistler, "Balanced parametrizations: A structure theory for identification," in Lecture Notes in Statistics, Athens Conf. Applied Probability and Time Series, Volume II: Time Series Analysis, In Memory of E. J. Hannan, P. M. Robinson and M. Rosenblatt, Eds. New York: Springer, 1996, pp. 27-41.
14. L. Pernebo and L. Silverman, "Model reduction via balanced state space systems," IEEE Trans. Automat. Contr., vol. 27, pp. 382-387, 1982.
15. T. Kabamba, "Balanced forms: Canonicity and parametrization," IEEE Trans. Automat. Contr., vol. 30, pp. 1106-1109, 1985.
16. M. Hazewinkel and R. E. Kalman, "Invariants, canonical forms and moduli for linear, constant, finite dimensional, dynamical systems," in Lecture Notes in Economics and Mathematical Systems, G. Maresini and S. K. Mitter, Eds. Berlin, Germany: Springer-Verlag, 1976, pp. 48-60.
17. F. Chatelin, Spectral Approximation of Linear Operators. New York: Academic, 1983.
18. G. Golub and C. Van Loan, Matrix Computations, 2nd ed. Baltimore, MD: John Hopkins Univ. Press, 1989.
19. K. Peternell, "Identification of linear dynamic systems by subspace and realization-based algorithms," Ph.D. dissertation, TU Wien, 1995.
20. P. Van Overschee, "Theory, implementation and practice of subspace identification algorithms," Ph.D. dissertation, Katholieke Univ. Leuven, Leuven, 1995.
21. B. Hanzon and R. Ober, "Overlapping block-balanced forms and parametrizations: The stable SISO case," SIAM J. Contr. Optim., vol. 35, no. 1, pp. 228-242, 1997.
22. R. Ober, "Balanced canonical forms," in Identification, Adaptation, Learning, S. Bittanti and G. Picci, Eds. New York: Springer, 1996, pp. 120-183.
23. C. T. Chou, "Geometry of linear systems and identification," Ph.D. dissertation, Univ. Cambridge, 1994.
24. A. S. Deif, Advanced Matrix Theory for Scientists and Engineers. London, U.K.: Abacus/Gordon & Breach, 1991.