Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data

Automatica

Volumn 47, Issue 8, 2011, Pages 1721-1728

  Rapisarda, P ^a   Trentelman, H L ^b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Dissipative systems; Gramian; Identification; Lossless systems; Model reduction; Quadratic difference forms; Rank revealing factorization

Indexed keywords

DISSIPATIVE SYSTEMS; GRAMIANS; LOSSLESS SYSTEMS; MODEL REDUCTION; QUADRATIC DIFFERENCE FORMS; RANK-REVEALING;

ENERGY DISSIPATION; FACTORIZATION;

EQUATIONS OF STATE;

EID: 79960927020     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2011.02.048     Document Type: Article

References (24)

1. A.C. Antoulas A new result on passivity-preserving model reduction Systems and Control Letters 54 2005 361 374 (Pubitemid 40307811)
2. A.C. Antoulas Approximation of large-scale dynamical systems 2004 SIAM Press Philadelphia
3. A. Dahlén, and W. Scherrer The relation of CCA subspace method to a balanced reduction of an autoregressive model Journal of Econometrics 118 12 2004 293 312
4. U.B. Desai, and D. Pal A transformation approach to stochastic model reduction IEEE Transactions on Automatic Control AC-29 1984 1079 1100
5. S. Gugerin, and A.C. Antoulas A survey of model reduction by balanced truncation and some new results International Journal of Control 77 8 2004 748 766
6. O. Kaneko, and T. Fujii Discrete-time average positivity and spectral factorization in a behavioral framework Systems and Control Letters 39 2000 31 44
7. O. Kaneko, and T. Fujii When is a storage function a state function in discrete-time? SIAM Journal on Control and Optimization 42 2003 1374 1394
8. T. Katayama Subspace methods for system identification 2005 Springer Verlag Berlin
9. C. Kojima, K. Takaba, O. Kaneko, and P. Rapisarda Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms Lin. Alg. Appl. 416 23 2006 1060 1082 (Pubitemid 43795671)
10. A. Lindquist, and G. Picci Canonical correlation analysis, approximate covariance extension, and identification of stationary time series Automatica 32 5 1996 709 733 (Pubitemid 126375109)
11. M. Moonen, B. De Moor, L. Vandenberghe, and J. Vandewalle On-and off-line identification of linear state space models International Journal of Control 49 1989 219 232
12. M. Moonen, and J. Ramos A subspace algorithm for balanced state space system identification IEEE Transactions on Automatic Control 38 1993 1727 1729
13. P.C. Opdenacker, and E.A. Jonckheere A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds IEEE Transactions on Circuits and Systems 35 2 1988 184 189
14. R.V. Polyuga, and A.J. van der Schaft Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity Automatica 46 4 2010 665 672
15. D.C. Sorensen Passivity preserving model reduction via interpolation of spectral zeros Systems and Control Letters 54 4 2005 347 360 (Pubitemid 40304804)
16. H. Tanaka, and T. Katayama A stochastic realization algorithm via block LQ decomposition in Hilbert space Automatica 42 2006 741 746
17. H.L. Trentelman, B.M. Ha, and P. Rapisarda Dissipativity preserving model reduction by retention of trajectories of minimal dissipation Mathematics of Control, Signals, and Systems 21 3 2009 171 201
18. H.L. Trentelman, and J.C. Willems Synthesis of dissipative systems using quadratic differential forms part II IEEE Transactions on Automatic Control 47 1 2002 70 86 (Pubitemid 34504323)
19. P. Van Overschee, and B. De Moor Subspace identification for linear systems: theory, implementation, applications 1996 Kluwer Academic Publishers
20. P Van Overschee, and B. De Moor Choice of state-space basis in combined deterministicstochastic subspace identification Automatica 31 12 1995 1877 1883
21. J.C. Willems Paradigms and puzzles in the theory of dynamical systems IEEE Transactions on Automatic Control 36 1991 259 294
22. J.C. Willems, P. Rapisarda, M. Markovsky, and B.L.M. De Moor A note on persistency of excitation Systems and Control Letters 54 2005 325 329 (Pubitemid 40304801)
23. J.C. Willems, and H.L. Trentelman On quadratic differential forms SIAM Journal on Control and Optimization 36 1998 1703 1749 (Pubitemid 128493569)
24. K. Zhou Robust and optimal control 1996 Prentice-Hall Upper Saddle River, NJ