Application of adaptive wavelet networks for vibration control of base isolated structures

International Journal of Wavelets, Multiresolution and Information Processing

Volumn 8, Issue 5, 2010, Pages 773-791

  Karimi, Hamid Reza ^a   Zapateiro, Mauricio ^b   Luo, Ningsu ^c  

^a UNIVERSITY OF AGDER   (Norway)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^c UNIVERSITY OF GIRONA   (Spain)

Author keywords

H control, nonlinear structures; system identification; Vibration control; wavelet network

Indexed keywords

ADAPTIVE CONTROL STRATEGY; ADAPTIVE WAVELET NETWORK; BASE ISOLATED STRUCTURE; BUILDING STRUCTURE; CONTROL DESIGN; CONTROL STRATEGIES; MAGNETO-RHEOLOGICAL DAMPERS; NON-LINEAR MODEL; NON-LINEARITY; NONLINEAR STRUCTURE; PARAMETER ADAPTIVE LAWS; SEMI-ACTIVE ACTUATORS; SEMIACTIVE CONTROL; SUPERVISORY CONTROL; SYSTEM IDENTIFICATIONS; WAVELET NETWORK;

COMPUTER SIMULATION; FEEDBACK LINEARIZATION; IDENTIFICATION (CONTROL SYSTEMS); VIBRATION CONTROL;

ADAPTIVE CONTROL SYSTEMS;

EID: 77957015109     PISSN: 02196913     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219691310003778     Document Type: Article

References (49)

1. E. Bacry, S. Mallat and G. Papanicolaou, A wavelet based space-time adaptive numerical method for partial differential equations, RAIRO Model. Math. Anal. 26 (1992) 793-834.
2. H. Yoshioka, J. Ramallo and B. Spencer, Smart based isolation strategies employing magnetorheological dampers, J. Eng. Mech. 128 (2002) 540-551.
3. B. Spencer and M. Sain, Controlling buildings: A new frontier in feedback, IEEE Control Syst. Mag. 17 (1997) 19-35.
4. S. Dyke, B. S. Spencer, M. Sain and J. Carlson, An experimental study of MR dampers for seismic protection, Smart Materials Struct. 7 (1998) 693-703.
5. B. Spencer and T. Song, New applications and development of active, semi-active and hybrid control techniques for seismic and non-seismic vibration in the USA, in Proceedings of International Post-SMIRT Conference Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control of Vibration of Structures, Cheju, Korea (1999), 22 pp.
6. H. R. Karimi, M. Zapateiro and N. Luo, Wavelet-based parameter identification of a nonlinear magnetorheological damper, Int. J. Wavelets Multiresolut. Inf. Process. 7(2) (2009) 183-198.
7. C. S. Burrus, R. A. Gopinath and H. Guo, Introduction to Wavelets and Wavelet Transforms (Prentice Hall, 1998).
8. D. Kumar and N. D. Pah, Thresholding wavelet networks for signal classification, Int. J. Wavelets Multiresolut. Inf. Process. 2(1) (2003) 10-25.
9. E. A. Maharaj, Using wavelets to compare time series patterns, Int. J. Wavelets Multiresolut. Inf. Process. 3(4) (2005) 511-521.
10. G. Sirca and H. Adeli, A neural network-wavelet model for generating artificial accelerograms, Int. J. Wavelets Multiresolut. Inf. Process. 2(3) (2004) 217-235.
11. B. Whitche and P. F. Craigmile, Multivariate spectral analysis using Hilbert wavelet pairs, Int. J. Wavelets Multiresolut. Inf. Process. 2(4) (2004) 567-587.
12. A. Karami, H. R. Karimi, B. Moshiri and P. J. Maralani, Wavelet-based adaptive collocation method for the resolution of nonlinear PDEs, Int. J. Wavelets Multiresolut. Inf. Process. 5(6) (2007) 957-973.
13. A. Karami, H. R. Karimi, P. J. Maralani and B. Moshiri, Intelligent optimal control of robotic manipulators using wavelets, Int. J. Wavelets Multiresolut. Inf. Process. 6(4) (2008) 575-592.
14. B. S. Chen and Y. M. Cheng, Adaptive wavelet network control design for nonlinear systems, in Proc. 35th IEEE Decision and Control, Kobe, Japan (1996), pp. 3224- 3329.
15. H. R. Karimi, B. Lohmann, P. J. Maralani and B. Moshiri, A computational method for parameter estimation of linear systems using Haar wavelets, Int. J. Comput. Math. 81(9) (2004) 1121-1132.
16. H. R. Karimi, P. J. Maralani, B. Moshiri and B. Lohmann, Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets, Int. J. Comput. Math. 82(4) (2005) 495-507.
17. H. R. Karimi, B. Moshiri, B. Lohmann and P. J. Maralani, Haar wavelet-based approach for optimal control of second-order linear systems in time domain, J. Dynam. Control Syst. 11(2) (2005) 237-252.
18. H. R. Karimi, A computational method to optimal control problem of time-varying state-delayed systems by Haar wavelets, Int. J. Comput. Math. 83(2) (2006) 235-246.
19. H. R. Karimi, Optimal vibration control of vehicle engine-body system using Haar functions, Int. J. Control Autom. Syst. 4(6) (2006) 714-724.
20. Y. M. Cheng, B. S. Chen and F. Y. Shiau, Adaptive wavelet network control design for nonlinear systems, Proc. Natl. Counc. 22(6) (1998) 783-799.
21. M. Thuillard, A review of wavelet networks, wavenets, fuzzy wavenets and their applications, in ESIT 2000, Aachen, Germany (2000), pp. 5-16.
22. Y. C. Pati and P. S. Krishnaprasad, Analysis and synthesis of feedforward neural networks using discrete affine wavelet transformations, IEEE Trans. Neural Networks 4 (1992) 73-85.
23. S. Postalcioglu and Y. Becerikli, Nonlinear system modeling by using wavelet networks, Proc. Int. Conf. Signal Process. 1(2) (2003) 72-75.
24. Q. Zhang and A. Benveniste, Wavelet networks, IEEE Trans. Neural Networks 3 (1992) 889-898.
25. M. Othmani, W. Bellil, C. B. Amar and A. M. Alimi, A new structure and training procedure for multi-mother wavelet networks, Int. J. Wavelets Multiresolut. Inf. Process. 8(1) (2010) 149-175.
26. H. R. Karimi, B. Lohmann, B. Moshiri and P. J. Maralani, Wavelet-based identification and control design for a class of nonlinear systems, Int. J. Wavelets Multiresolut. Inf. Process. 4(1) (2006) 213-226.
27. S. Dyke, B. Spencer, M. Sain and J. Carlson, Modeling and control of magnetorheological dampers for seismic response reduction, Smart Materials Struct. 5 (1996) 565-575.
28. L. Jansen and S. Dyke, Semiactive control strategies for MR dampers: Comparative study, J. Eng. Mech. 126 (2000) 795-803.
29. G. Yang, Large-scale magnetorheological fluid damper for vibration mitigation: Modeling, testing and control, Ph.D. thesis, University of Notre Dame (2001).
30. X.Wang and F. Gordaninejad, Lyapunov-based control of a bridge using magnetorheological fluid dampers, J. Intell. Mater. Syst. Struct. 13 (2002) 415-419.
31. C. Park and D. Jeon, Semiactive vibration control of a smart seat with an MR fluid damper considering its time delay, J. Intell. Mater. Syst. Struct. 13 (2002) 521-524.
32. N. Luo, R. Villamizar, J. Vehi, J. Rodellar and V. Manosa, Sliding mode control of structures with uncertain coupled subsystems and actuator dynamics, in Proceedings of the European Control Conference, Cambridge, UK (2003), 6 pp.
33. S. Nagarajaiah, S. Narasimhan, A. Agrawal and P. Tang, Semiactive Lyapunov controller for phase II seismic isolated bridge benchmark, in Proc. Structures Congress 2006, St. Louis, Missouri, USA (2006), 17 pp.
34. Y. Kim and R. Langari, Nonlinear identification and control of a building structure with a magnetorheological damper, in Proceedings of the American Control Conference, New York City, USA (2007), pp. 3353-3358.
35. N. McClamroch, H. Gavin, D. Ortiz and R. Hanson, Electrorheological dampers and semi-active structural control, in Proceedings of the 33rd Conference on Decision and Control, Lake Buena Vista, Florida, USA (1994), pp. 97-102.
36. N. McClamroch and H. Gavin, Closed loop structural control using electrorheological dampers, in Proceedings of the American Control Conference, Seattle, Washington, USA (1995), pp. 4173-4177.
37. R. Villamizar, N. Luo, J. Vehi and J. Rodellar, Semiactive sliding mode control of uncertain base isolated structures with actuator dynamics, in Proc. SPIE 10th Annual International Symposium on Smart Structures and Materials, Warsaw, Poland (2003), pp. 1-8.
38. S. Moon, L. Bergman and P. Voulgaris, Sliding mode control of cable-stayed bridge subjected to seismic excitation, J. Eng. Mech. 129 (2003) 71-78.
39. N. Luo, R. Villamizar and J. Vehi, Backstepping control of nonlinear building structures with hysteretic and frictional dynamics, in European Control Conference, Kos, Greece (2007), 6 pp.
40. M. Zapateiro, N. Luo, H. R. Karimi and J. Veh, Vibration control of a class of semiactive suspension system using neural network and backstepping techniques, Mech. Syst. Signal Process. 23(6) (2009) 1946-1953.
41. H. Kim and P. Roschke, Fuzzy control of base-isolation system using multiobjective genetic algorithm, Comput. Aided Civ. Infrastruct. Eng. 21 (2006) 436-446.
42. K. Schurter and P. Roschke, Neuro-fuzzy control of structures using acceleration feedback, Smart Mater. Struct. 10 (2001) 770-779. (Pubitemid 32829401)
43. Z. Li, C. C. Chang and B. F. Spencer, Intelligent technology-based control of motion and vibration using MR dampers, Earthquake Eng. Eng. Vib. 1(1) (2002) 100-110.
44. N. Sureshbabu and J. A. Farrell, Wavelet-based system identification for nonlinear control, IEEE Trans. Automat. Contr. 44(2) (1999) 412-417.
45. B. Delyon, A. Juditsky and A. Benveniste, Accuracy analysis for wavelet approximations, IEEE Trans. Neural Networks 6(2) (1995) 332-348.
46. N. Luo, J. Rodellar, M. De la Sen and J. Vehi, Output feedback sliding mode control of base isolated structures, J. Franklin Inst. 337 (2000) 555-577.
47. C. K. Shield, C. W. French and J. Timm, Development and implementation of the effective force testing method for seismic simulation of large-scale structures, Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 359 (2001) 1911-1929.
48. G. Mosqueda, B. Stojadinovic and S. Mahin, Implementation and accuracy of continuous hybrid simulation with geographically distributed substructures, Technical report, Earthquake Engineering Research Center, University of California, Berkeley, USA (2005).
49. R. Y. Jung and P. B. Shing, Performance evaluation of a real-time pseudodynamic test system, Earthquake Eng. Struct. Dyn. 35 (2006) 789-810.