Active boundary control of an Euler-Bernoulli beam for generating vibration-free state

Journal of Sound and Vibration

Volumn 304, Issue 3-5, 2007, Pages 570-586

  Tanaka, Nobuo ^a   Iwamoto, Hiroyuki ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; BOUNDARY CONDITIONS; FEEDFORWARD CONTROL; OPTIMAL CONTROL SYSTEMS; TRANSFER MATRIX METHOD; VIBRATION ANALYSIS;

ADAPTIVE FEEDFORWARD CONTROL; EULER BERNOULLI BEAMS; VIBRATION FREE STATE;

BEAMS AND GIRDERS;

EID: 34248593294     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.03.015     Document Type: Article

References (28)

1. Rosenbrock H.H. Distinctive problems of process control. Chemical Engineering Progress 58 9 (1962) 43-50
2. Gould L.A., and Murray-Lasso M.A. On the modal control of distributed systems with distributed feedback. IEEE Transactions on Automatic Control AC-11 4 (1966) 729-737
3. Simon J.D., and Mitter S.K. A theory of modal control. Information and Control 13 (1968) 316-353
4. Meirovitch L., and Baruh H. The implementation of modal filters for control of structures. Journal of Guidance 8-6 (1985) 707-716
5. Vaughan D.R. Application of distributed parameter concepts to dynamic analysis and control of bending vibrations. ASME Journal of Basic Engineering June (1968) 157-166
6. von Flotow A.H., and Schafer J.B. Wave absorbing controllers for a flexible beam. Journal of Guidance 9-6 (1986) 673-680
7. G.M. Procopio, J.E. Hubbard Jr., Active damping of a Bernoulli-Euler beam via end point impedance control using distributed parameter techniques, ASME Design Technology Conference, 1987, pp. 35-46.
8. Mace B.R. Active control of flexural vibrations. Journal of Sound and Vibration 114-2 (1987) 253-270
9. Miller D.W., Hall S.R., and von Flotow A.H. Optimal control power flow at structural junctions. Journal of Sound and Vibration 140 3 (1990) 475-497
10. MacMartin D.G., and Hall S.R. Control of uncertain structures using an H-infinity power flow approach. Journal of Guidance 14 3 (1990) 521-530
11. Tanaka N., and Kikushima Y. Active wave control of a flexible beam (Proposition of the active sink method). JSME International Journal 34-2 (1991) 159-167
12. Tanaka N., and Kikushima Y. Active wave control of a flexible beam (Fundamental characteristics of an active sink system and its verification). JSME International Journal 35-2 (1992) 236-244
13. Tanaka N., and Kikushima Y. Optimal vibration feedback control of an Euler-Bernoulli beam: toward realization of the active sink method. ASME,Journal of Vibration and Acoustics 121 (1999) 174-182
14. Kosut R.L., Salzwedel H., and Emami-Naeini A. Robust control of flexible spacecraft. Journal of Guidance 6-2 (1983) 104-111
15. Stein G., and Doyle J.C. Beyond singular values and loop shapes. Journal of Guidance and Control 14 1 (1991) 5-16
16. S. Boyd, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, 1994.
17. Aubrun J.N. Theory of the control of structures by low-authority control. Journal of Guidance and Control 3 (1980) 444-451
18. Balas M.J. Direct velocity feedback control of large space structures. Journal of Guidance 2-3 (1979) 252-253
19. Balas M.J. Trends in large space structure control theory: fondest hopes. Wildest Dreams, IEEE Transactions on Automatic Control AC 27 (1982) 522-535
20. Joslin R.D., Nicolaides R.A., Erlebacher G., Hussaini M.Y., and Gunzburger M.D. Active control of boundary-layer instabilities: use of sensors and spectral controller. AIAA Journal 33 8 (1995) 1521-1523
21. R.W. Metcalfe, D. Rutland, J.H. Duncan, J.J. Riley, Numerical simulations of active stabilization of laminar boundary layers, AIAA paper, 85-0567, 1985.
22. Athnasingham R., and Breuer K. Active control of turbulent boundary layers. Journal of Fluid Mechanics 495 (2003) 209-233
23. Baicu C.F., Rahn C.D., and Nibali B.D. Active boundary control of elastic cables: theory and experiment. Journal of Sound and Vibration 198 1 (1996) 17-26
24. Datko R., Lagnese J., and Polis M.P. An example on the effect of time delays in boundary feedback stabilization of wave equations. SIAM Journal of Control and Optimization 24 (1986) 152-156
25. Contrad F., and Morgul O. On the stability of a flexible beam with a tip mass. SIAM Journal of Control and Optimization 36 6 (1998) 1962-1986
26. J. Liang, Y. Chen, B.Z. Guo, A new boundary control method for beam equation with delayed boundary measurement using modified Smith prediction, Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 2003, pp. 809-814.
27. Baz A. Boundary control of beams using active constrained layer damping. Transactions of ASME, Journal of Vibration and Acoustics 119 April (1997) 166-172
28. Pestel E.C., and Leckie F.A. Matrix Methods in Elastomechanics (1963), McGraw-Hill Book Co., New York