Use of particle filters in an active control algorithm for noisy nonlinear structural dynamical systems

Journal of Sound and Vibration

Volumn 306, Issue 1-2, 2007, Pages 111-135

  Sajeeb, R ^a   Manohar, C S ^a   Roy, D ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; RICCATI EQUATIONS; STATE ESTIMATION;

BAYESIAN BOOTSTRAP FILTERS; NONLINEAR STRUCTURAL DYNAMICAL SYSTEMS; PARTICLE FILTERS;

DYNAMICAL SYSTEMS;

EID: 34447524936     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.043     Document Type: Article

References (58)

1. Yao J.T.P. Concept of structural control. Journal of Structural Engineering ASCE 98 (1972) 1567-1574
2. Soong T.T. Active Structural Control: Theory and Practice (1990), Longman Scientific and Technical, New York
3. Housner G.W., Bergman L.A., Caughey T.K., Chassiakos A.G., Claus R.O., Masri S.F., Skelton R.E., Soong T.T., Spencer B.F., and Yao J.T.P. Structural control: past, present and future. Journal of Engineering Mechanics 123 (1997) 897-971
4. Datta T.K. A state-of-the-art review on active control of structures. ISET Journal of Earthquake Technology 40 (2003) 1-17
5. Marquez H.J. Nonlinear Control Systems-Analysis and Design (2003), Wiley, New York
6. Khalil H.K. Nonlinear Systems (2002), Prentice-Hall Inc., Englewood Cliffs, NJ
7. J.R. Cloutier, State-dependent Riccati equation techniques: an overview, Proceedings of the American Control Conference, 1997, pp. 932-936.
8. J.R. Cloutier, D.T. Stansbery, The capabilities and art of state-dependant Riccati equation based design, Proceedings of the American Control Conference, 2002, pp. 86-91.
9. J.S. Shamma, J.R. Cloutier, Existence of SDRE stabilizing feedback, Proceedings of the American Control Conference, 2001, pp. 4253-4257.
10. E.B. Erdem, A.G. Alleyne, Globally stabilizing second order nonlinear systems by SDRE control, Proceedings of the American Control Conference, 1999, pp. 2501-2505.
11. W. Langson, A.G. Alleyne, A stability result with application to nonlinear regulation: theory and experiments, Proceedings of the American Control Conference, 1999, pp. 3051-3056.
12. K.D. Hammett, D.B. Ridgely, Locally stabilizing analytic state feedback controllers for scalar systems via SDRE nonlinear regulation, Proceedings of the American Control Conference, 1997, pp. 1070-1071.
13. J.W. Curtis, R.W. Beard, Ensuring stability of state-dependent Riccati equation controllers via satisficing, Proceedings of the American Control Conference, 2002, pp. 2645-2650.
14. M. Innocenti, F. Baralli, F. Salotti, A. Caiti, Manipulator path control using SDRE, Proceedings of the American Control Conference, 2000, pp. 3348-3352.
15. P.K. Menon, T. Lam, L.S. Crawford, V.H.L Cheng, Real-time computational methods of SDRE nonlinear control of missiles, Proceedings of the American Control Conference, 2002, pp. 232-237.
16. K.A. Wise, J.L. Sedwick, Nonlinear control of agile missiles using state dependent Riccati equations, Proceedings of the American Control Conference, 1997, pp. 379-380.
17. D.K. Parrish, D.B. Ridgely, Attitude control of a satellite using SDRE method, Proceedings of the American Control Conference, 1997, pp. 942-945.
18. E.A. Wan, A.A. Bogdanov, Model predictive neural control with applications to a 6 DOF helicopter model, Proceedings of the American Control Conference, 2001, pp. 488-493.
19. Singh S.N., and Yim W. State feedback control of an aeroelastic system with structural nonlinearity. Aerospace Science and Technology (2003) 23-31
20. W. Ren, R.W. Beard, Constrained nonlinear tracking control for small fixed-wing unmanned air vehicles, Proceedings of the American Control Conference, 2004, pp. 4663-4668.
21. D.K. Parrish, D.B. Ridgely, Control of an artificial human pancreas using the SDRE method, Proceedings of the American Control Conference, 1997, pp. 1059-1060.
22. Masri S.F., Bekey G.A., and Caughey T.K. On-line control of nonlinear flexible structures. Journal of Applied Mechanics 49 (1981) 871-884
23. Reinhorn A.M., Manolis G.D., and Wen C.Y. Active control of inelastic structures. Journal of Engineering Mechanics 113 (1987) 315-333
24. Rohman A.M., and Nayfeh A.H. Active control of nonlinear oscillations in bridges. Journal of Engineering Mechanics 113 (1987) 335-348
25. Barbat A.H., Rodellar J., Ryan E.P., and Molinares N. Active control of nonlinear base-isolated buildings. Journal of Engineering Mechanics 121 (1995) 676-684
26. Yang J.N., Wu J.C., and Agrawal A.K. Sliding mode control for nonlinear and hysteretic structures. Journal of Engineering Mechanics 121 (1995) 1330-1339
27. Tadi M. Nonlinear feedback control of slewing beams. Computer Methods in Applied Mechanics and Engineering 195 (2006) 133-147
28. Ghanem R., Bujakov M., Torikoshi K., Itoh H., Inazuka T., Hiei H., and Watanabe T. Adaptive control of nonlinear uncertain dynamical systems. Journal of Engineering Mechanics 123 (1997) 1161-1169
29. Suhardio J., Spencer Jr. B.F., and Sain M.K. Nonlinear optimal control of a Duffing system. International Journal of Nonlinear Mechanics 27 (1992) 157-172
30. Yang J.N., Agrawal A.K., and Chen S. Optimal polynomial control for seismically excited nonlinear and hysteretic structures. Earthquake Engineering and Structural Dynamics 25 (1996) 1211-1230
31. Agrawal A.K., Yang J.N., and Wu J.C. Nonlinear control strategies for Duffing systems. International Journal of Nonlinear Mechanics 33 (1998) 829-841
32. Zhu W.Q., Ying G., and Soong T.T. An optimal nonlinear feedback control strategy for randomly excited structural systems. Nonlinear Dynamics 24 (2001) 31-51
33. Ying Z.G., Zhu W.Q., and Soong T.T. A stochastic optimal semi-active control strategy for ER/MR dampers. Journal of Sound and Vibration 259 (2003) 45-62
34. Zhu W.Q., Ying Z.G., Ni Y.Q., and Ko J.M. Optimal nonlinear stochastic control of hysteretic systems. Journal of Engineering Mechanics 126 (2000) 1027-1032
35. Zhu W.Q. Nonlinear stochastic dynamics and control in Hamiltonian formulation. Applied Mechanics Reviews 59 (2006) 230-248
36. Chung L.L., Lin C.C., and Chu S.Y. Optimal direct output feedback of structural control. Journal of Engineering Mechanics 119 (1993) 2157-2173
37. Stengel R.F. Optimal Control and Estimation (1994), Dover Publications, Inc., New York
38. Beaman J.J. Nonlinear quadratic Gaussian control. International Journal of Control 39 (1984) 343-361
39. Atassi A.N., and Khalil H.K. A separation principle for the stabilization of a class of nonlinear systems. IEEE Transactions on Automatic Control 44 (1999) 1672-1687
40. Atassi A.N., and Khalil H.K. A separation principle for the control of a class of nonlinear systems. IEEE Transactions on Automatic Control 46 (2001) 1672-1687
41. Park H.M., and Lee W.J. Feedback control of natural convection. Computer Methods in Applied Mechanics and Engineering 191 (2001) 1013-1028
42. Schauer T., Negard N.O., Previdi F., Hunt K.J., Fraser M.H., Ferchland E., and Raisch T. Online identification and nonlinear control of the electrically stimulated quadriceps muscle. Control Engineering Practice 13 (2005) 1207-1219
43. Kalman R.E. A new approach to linear filtering and prediction problems. Transactions of the ASME - Journal of Basic Engineering 82 Series D (1960) 35-45
44. Brown R.G., and Hwang P.Y.C. Introduction to Random Signals and Applied Kalman Filtering (1992), Wiley, New York
45. Gordon N.J., Salmond D.J., and Smith A.F.M. Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings-F 140 (1993) 107-113
46. Tanizaki H. Nonlinear Filters: Estimation and Applications (1996), Springer, Berlin
47. Tanizaki H., and Mariano R.S. Nonlinear and non-Gaussian state-space modeling with Monte Carlo simulations. Journal of Econometrics 83 (1998) 263-290
48. A. Doucet, On sequential simulation-based methods for Bayesian filtering, Technical Report CUED/F-INFENG/TR.310(1998), Department of Electrical Engineering, University of Cambridge, UK, 1998.
49. Doucet A., Godsill S., and Andrieu C. On sequential Monte Carlo sampling methods for Bayesian filtering. Statistics and Computing 10 (2000) 197-208
50. Ching J., Beck J.L., and Porter K.A. Bayesian state and parameter estimation of uncertain dynamical systems. Probabilistic Engineering Mechanics 21 (2006) 81-96
51. Lauga E., and Bewly T.R. Performance of a linear robust control strategy on a nonlinear model of spatially developing flows. Journal of Fluid Mechanics 512 (2004) 343-374
52. Doucet A., de Freitas N., and Gordon N. Sequential Monte Carlo Methods in Practice (2001), Springer, New York
53. Manohar C.S., and Roy D. Monte Carlo filters for identification of nonlinear structural dynamical systems. Sadhana, Academy Proceedings in Engineering Sciences, Indian Academy of Sciences 31 4 (2006) 399-427
54. Andrieu C., Doucet A., Singh S.S., and Tadic V.B. Particle methods for change detection, system identification, and control. Proceedings of the IEEE 92 (2004) 423-438
55. Smith A.F.M., and Gelfand A.E. Bayesian statistics without tears: a sampling-resampling perspective. The American Statistician 46 2 (1992) 84-88
56. Kloeden P.E., and Platen E. Numerical Solution of Stochastic Differential Equations (1992), Springer, Berlin
57. Milstein G.N. Numerical Integration of Stochastic Differential Equations (1995), Kluwer Academic Publishers, Dordrecht
58. Oksendal B. Stochastic Differential Equations: An Introduction with Applications (1992), Springer, Berlin