On pole-zero placement by unit-rank modification

Mechanical Systems and Signal Processing

Volumn 17, Issue 3, 2003, Pages 611-633

  Prells, U ^a   Mottershead, J E ^b   Friswell, M I ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS; POLYNOMIALS; VECTORS;

POLE ZERO PLACEMENT; SARS; UNIT RANK MODIFICATION;

DYNAMICS;

EID: 0345382813     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.2002.1529     Document Type: Article

References (25)

1. T. Kailath 1980 Linear Systems. Englewood Cliffs, NJ: Prentice-Hall.
2. D. J. Inman 1989 Vibration with Control, Measurement, and Stability. Englewood Cliffs, NJ: Prentice-Hall.
3. A. N. Andry, E. Y. Shapiro and J. C. Chung 1983 IEEE Transactions on Aerospace and Electronic Systems 19, 711-729. Eigenstructure assignment for linear-systems.
4. B. Porter and J. J. D'Azzo 1978 International Journal of Control 27, 487-492. Closed-loop eigenstructure assignment by state feedback in multivariable linear systems.
5. G. Klein and B. C. Moore 1977 IEEE Transactions on Automatic Control 22, 140-141. Eigenvalue-generalized eigenvector assignment with state feedback.
6. C. B. Schrader and M. K. Sain 1989 International Journal of Control 50, 1407-1433. Research of system zeros: a survey.
7. K. Karcanias and B. Kouvaritakis 1979 International Journal of Control 30, 395-415. The output zeroing problem and its relationship to the invariant zero structure: a matrix pencil approach.
8. P. Murdoch 1973 IEEE Transactions on Automatic Control 18, 542. Pole and zero assignment by proportional feedback.
9. R. G. Cameron and M. Zolghadri-Jahromi 1982 International Journal of Control 36, 419-427. Zero assignment by dyadic output feedback.
10. M. H. Tu and C. M. Lin 1992 IEE Proceedings-D Control Theory and Applications 139, 291-295. Synthesis of pole-zero assignment control law with minimum control input.
11. Y. M. Ram 1998 Journal of Vibration and Control 4, 145-165. Pole-zero assignment of vibratory systems by state feedback control.
12. M. J. Schulz and D. J. Inman 1995 Journal of Sound and Vibration 182, 259-282. Vibration suppression by eigenstructure optimization.
13. R. H. Cannon 1967 Dynamics of Physical Systems. New York: McGraw-Hill.
14. H. Frahm 1911 Jahrbuch der Schiffbautechnischen Gesellschaft 12, 283. Neuartige Schlingertanks zur Abdämpfung von Schiffsrollbewegungen und ihre Erfolgreiche Anwendung in der Praxis.
15. J. E. Mottershead 2001 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 68, 791-798. Structural modification for the assignment of zeros using measured receptances.
16. M. A. Akgun, J. H. Garcelon and R. T. Haftka 2001 International Journal for Numerical Methods in Engineering 50, 1587-1606. Fast exact linear and nonlinear structural reanalysis and the Sherman-Morrison-Woodbury formulas.
17. P. Lancaster 1966 Lambda-Matrices and Vibrating Systems. Oxford: Pergamon Press Inc.
18. J. E. Mottershead and G. Lallement 1999 Journal of Sound and Vibration 222, 833-851. Vibration nodes, and the cancellation of poles and zeros by unit-rank modifications to structures.
19. J. E. Mottershead, T. Li and J. He 2000 Journal of Sound and Vibration 231, 219-231. Pole-zero cancellation in structures: repeated roots.
20. U. Prells and M. I. Friswell 2000 Journal of Vibration and Acoustics 122, 180-182. A relationship between defective systems and unit-rank modifications of classical damping.
21. P. Lancaster and M. Tismenetsky 1985 Theory of Matrices, 2nd edn. New York: Academic Press.
22. A. C. Aitken 1956 Determinants and Matrices. 9th edn. Oliver and Boyd, Edinburgh and London, New York: Interscience Publishers, Inc.
23. U. Prells, M. I. Friswell and S. D. Garvey 2002 Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences to appear. Utilisation of geometric algebra: Grassmann products, compound matrices and the determinant of the sum of two matrices.
24. U. Prells, M. I. Friswell and S. D. Garvey 2001 Applied Geometrical Algebras in Computer Science and Engineering, pp. 109-118, Cambridge: Birkhaser, Compound matrices and Pfaffians: a representation of geometric algebra.
25. J. E. Mottershead, C. Mares and S. James 2002 Mechanical Systems and Signal Processing, 16, 741-755. Fictitous modifications for the separation of close modes.