Nonlinear state observation for cable dynamics

JVC/Journal of Vibration and Control

Volumn 15, Issue 7, 2009, Pages 1049-1077

  Faravelli, Lucia ^a   Ubertini, Filippo ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

Feedback control.; Non linear cables; Non linear observer; State estimation

Indexed keywords

CONTROL ALGORITHMS; ESTIMATED STATE; FEEDBACK CONTROL STRATEGIES; NON-LINEAR CABLES; NON-LINEAR OBSERVER; NONLINEAR STATE; NONRESONANT; NUMERICAL SIMULATION; OBSERVATION ERRORS; OBSERVER CONTROL; SEMIACTIVE CONTROL; STRUCTURAL CABLES;

ALGORITHMS; ASYMPTOTIC STABILITY; CABLES; COMPUTER SIMULATION LANGUAGES; CONTROL SYSTEM ANALYSIS; CONVERGENCE OF NUMERICAL METHODS; FEEDBACK CONTROL; OBSERVABILITY; STATE ESTIMATION; STATE FEEDBACK; SYSTEM STABILITY;

FEEDBACK;

EID: 68149168841     PISSN: 10775463     EISSN: 17412986     Source Type: Journal    
DOI: 10.1177/1077546308094253     Document Type: Article

References (37)

1. Abdel-Rohman, M. and Spencer, B.F., 2004, " Control of wind-induced nonlinear oscillations in suspended cables, " Nonlinear Dynamics 37, 341-355.
2. Arafat, H.N. and Nayfeh, A.H., 2002, " Nonlinear responses of suspended cables to primary resonance excitations, " Journal of Sound and Vibration 266, 325-354.
3. Benedettini, F., Rega, G., and Alaggio, R., 1995, " Nonlinear oscillations of a four-degree of freedom model of a suspended cable under multiple internal resonance conditions, " Journal of Sound and Vibration 182, 775-798.
4. Cai, C.S., Wu, W.J., and Shi, X.M., 2006, " Cable vibration reduction with a hung-on TMD system. Part I: Theoretical study, " Journal of Vibration and Control 12 (7). 801-814. (Pubitemid 44179478)
5. Cai, C.S., Wu, W.J., and Shi, X.M., 2006, " Cable vibration reduction with a hung-on TMD system. Part II: parametric study, " Journal of Vibration and Control 12 (8). 881-899. (Pubitemid 44843725)
6. Casciati, F., Magonette, G., and Marazzi, F., 2006, Technology of Semiactive Devices and Applications in Vibration Mitigation, Wiley, Chichester.
7. Casciati, F., Faravelli, L., and Fuggini, C., 2008, " Cable vibration mitigation by added SMA wires ", Acta Mechanica 195, 141-155.
8. Casciati, F. and Ubertini, F., 2008, " Nonlinear vibration of shallow cables with semi-active tuned mass damper, " Nonlinear Dynamics 53, 89-106.
9. Cluni, F., Gusella, V., and Ubertini, F., 2007, " A parametric investigation of wind-induced cable fatigue, " Engineering Structures 29 (11). 3094-3105. (Pubitemid 47629858)
10. Dalla Mora, M., Germani, A., and Manes, C. 2000, " Design of state observers from a drift-observability property, " IEEE Transactions on Automatic Control 45, 1536-1540. (Pubitemid 30941541)
11. Doedel, E.J., Paffenroth, R.C., Champneys, A.R., Fairgrieve, T.F., Kuznetsov, Y.A., Oldeman, B.E., Sandstede, B., and Wang, X., 2000, " AUTO2000: Continuation and bifurcation software for ordinary differential equations, " available online from http://indy.cs.concordia.ca/auto/.
12. Faravelli, L. and Ubertini, F., 2007, " Observability issues in the vibration of cables, " in Proceedings of COMPDYN 2007, Crete, Greece, 13-16 June.
13. Faravelli, L. and Ubertini, F., 2008, " Experimental identification of cable damping parameters towards robust design against aeroelastic instability ", in Proceedings of the First International Symposium on Life-Cycle Civil Engineering (IALCCE08), Varenna, Italy, 11-14 June.
14. Farza, M., Saad, M.M., and Rossignol, L., 2004, " Observer design for a class of MIMO nonlinear systems, " Automatica 40, 135-143.
15. Gattulli, V., Alaggio, R., and Potenza, F., 2008, " Analytical prediction and experimental validation for longitudinal control of cable oscillations, " International Journal of Non-Linear Mechanics 43, 36-52.
16. Gattulli, V., Martinelli, L., Perotti, F., and Vestroni, F., 2004, " Nonlinear oscillations of cables under harmonic loading using analytical and finite element models, " Computer Methods in Applied Mechanics and Engineering 193, 69-85. (Pubitemid 38013272)
17. Gattulli, V., Pasca, M., and Vestroni, F., 1997, " Nonlinear oscillations of a nonresonant cable under in-plane excitation with a longitudinal control, " Nonlinear Dynamics 14, 139-156. (Pubitemid 127509088)
18. Gattulli, V. and Vestroni, F., 2000, " Nonlinear strategies for longitudinal control in the stabilization of an oscillating suspended cable, " Dynamics and Control 10 (4). 359-374. (Pubitemid 32535786)
19. Isidori, A., 1985, Nonlinear Control Systems: An Introduction, Springer, Berlin.
20. Jeong, C.S., Yaz, E.E., Bahakeem, A., and Yaz, Y.I., 2006, " Nonlinear observer design with general criteria," International Journal of Innovative Computing, Information and Control 2 (4). 693-704.
21. Kazantzis, N., Kravaris, C., and Wright, R.A., 2000, " Nonlinear observer design for process monitoring, " Industrial and Engineering Chemistry Research 39, 408-419. (Pubitemid 30114584)
22. Larsen, J.W. and Nielsen, S.R.K., 2004, " Non-linear stochastic response of a shallow cable, " International Journal of Non-Linear Mechanics 41, 327-344.
23. Luongo, A., Rega, G., and Vestroni, F., 1984, " Parametric analysis of large amplitude free vibrations of a suspended cable, " International Journal of Solids and Structures 20, 95-105. (Pubitemid 14526992)
24. Nayfeh, A.H., Arafat, H.N., Chin, C.M., and Lacarbonara, W., 2002, " Multimode interactions in suspended cables, " Journal of Vibration and Control 8, 337-387. (Pubitemid 34719310)
25. Nayfeh, A.H. and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New York.
26. Pasca, M., Vestroni, F., and Gattulli, V., 1998, " Active longitudinal control of wind-induced oscillations of a suspended cable, " Meccanica 33, 255-266. (Pubitemid 128513013)
27. Perkins, N.C., 1992, " Modal interactions in the non-linear response of elastic cables under parametric/external excitation, " International Journal of Non-Linear Mechanics 27, 233-250.
28. Rega, G., 2004, " Nonlinear vibrations of suspended cables-Part I: Modeling and analysis, " Applied Mechanics Review 57, 443-478.
29. Rega, G., 2004, " Nonlinear vibrations of suspended cables-Part II: Deterministic phenomena, " Applied Mechanics Review 57, 479-514.
30. Spooner, J.T., Maggiore, M., Ordonez, R., and Passino, K.M., 2002, Stable Adaptive Control and Estimation for Nonlinear Systems, Wiley, Chichester.
31. Srinil, N. and Rega, G., 2007, " Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: Theoretical formulation and model validation, " Nonlinear Dynamics 48 (3). 231-252. (Pubitemid 46325804)
32. Srinil, N. and Rega, G., 2007, " Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: Internal resonance activation, reduced order models and nonlinear normal modes, " Nonlinear Dynamics 48 (3). 253-274. (Pubitemid 46325805)
33. Susumpow, T. and Fujino, Y., 1995, " Active control of multimodal cable vibrations by axial support motion, " Earthquake Engineering and Structural Dynamics 5, 283-292.
34. Ubertini, F., 2007, " Computational issues in nonlinear cables observation, " in Proceedings of the 18th Conference of the Italian Association of Theoretical and Applied Mechanics (AIMETA), Brescia, Italy, 11-14 September.
35. Ubertini, F., 2008, " Active feedback control for cable vibrations ", Smart Structures and Systems 4 (4). 407-428.
36. Wu, W.J. and Cai, C.S., 2006, " Experimental study of magnetorheological dampers and application to cable vibration control, " Journal of Vibration and Control 12 (1). 67-82. (Pubitemid 43088473)
37. Zhou, Q., Nielsen, S.R.K., and Qu, W.L., 2006, " Semi-active control of three-dimensional vibrations of an inclined sag cable with magnetorheological dampers, " Journal of Sound and Vibration 296, 1-22. (Pubitemid 43912650)