Nonlinear system identification; Time- and frequency-domain subspace methods; Stabilisation diagram; Spacecraft structure; Non-smooth nonlinearities
Abstract :
[en] The objective of the present paper is to address the identification of a strongly nonlinear satellite structure. To this end, two nonlinear subspace identification methods formulated in the time and frequency domains are exploited, referred to as the TNSI and FNSI methods, respectively. The modal parameters of the underlying linear structure and the coefficients of the nonlinearities will be estimated by these two approaches based on periodic random measurements. Their respective merits will also be discussed in terms of both accuracy and computational efficiency and the use of stabilisation diagrams in nonlinear system identification will be introduced. The application of interest is the SmallSat spacecraft developed by EADS-Astrium, which possesses an impact-type nonlinear device consisting of eight mechanical stops limiting the motion of an inertia wheel mounted on an elastomeric interface. This application is challenging for several reasons including the non-smooth nature of the nonlinearities, high modal density and high non-proportional damping.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Noël, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Marchesiello, Stefano; Politecnico di Torino > Department of Mechanical and Aerospace Engineering
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Subspace-based identification of a nonlinear spacecraft in the time and frequency domains
Publication date :
February 2014
Journal title :
Mechanical Systems and Signal Processing
ISSN :
0888-3270
eISSN :
1096-1216
Publisher :
Academic Press, London, United Kingdom
Volume :
43
Issue :
1-2
Pages :
217-236
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
M. Moonen, B. De Moor, L. Vandenberghe, and J. Vandewalle On- and off-line identification of linear state-space models Int. J. Control 49 1989 219 232
P. Van Overschee, and B. De Moor N4SID subspace algorithms for the identification of combined deterministic-stochastic systems Automatica 30 1994 75 93
P. Van Overschee, and B. De Moor Continuous-time frequency domain subspace system identification Signal Process. 52 1996 174 194
T. McKelvey, H. Akçay, and L. Ljung Subspace-based multivariable system identification from frequency response data IEEE Trans. Autom. Control 41 7 1996 960 979
P. Van Overschee, B. De Moor, W. Dehandschutter, and J. Swevers A subspace algorithm for the identification of discrete time frequency domain power spectra Automatica 33 12 1997 2147 2157
S. Adachi, I. Yamaguchi, T. Kida, T. Sekiguchi, K. Yamada, and Y. Chida On-orbit system identification experiments on Engineering Test Satellite-VI Control Eng. Pract. 7 1999 831 841
J. Nováková, M. Hromčík, and R. Jech Dynamic causal modeling and subspace identification methods Biomed. Signal Process. Control 7 2012 365 370
E. Reynders, and G. De Roeck Reference-based combined deterministic-stochastic subspace identification for experimental and operational modal analysis Mech. Syst. Signal Process. 22 2008 617 637
L. Mevel, L. Hermans, and H. Van Der Auweraer Application of a subspace-based fault detection method to industrial structures Mech. Syst. Signal Process. 13 1999 823 838
G. Kerschen, K. Worden, A.F. Vakakis, and J.C. Golinval Past, present and future of nonlinear system identification in structural dynamics Mech. Syst. Signal Process. 20 2006 505 592
S.L. Lacy, and D.S. Bernstein Subspace identification for non-linear systems with measured-input non-linearities Int. J. Control 78 12 2005 906 926
S. Marchesiello, and L. Garibaldi A time domain approach for identifying nonlinear vibrating structures by subspace methods Mech. Syst. Signal Process. 22 2008 81 101
J.P. Noël, and G. Kerschen Frequency-domain subspace identification for nonlinear mechanical systems Mech. Syst. Signal Process. 40 2013 701 717
S.F. Masri, and T.K. Caughey A nonparametric identification technique for nonlinear dynamic problems J. Appl. Mech. 46 1979 433 447
D.E. Adams, and R.J. Allemang A frequency domain method for estimating the parameters of a non-linear structural dynamic model through feedback Mech. Syst. Signal Process. 14 4 2000 637 656
P. Muhamad, N.D. Sims, and K. Worden On the orthogonalised reverse path method for nonlinear system identification J. Sound Vib. 331 2012 4488 4503
C.M. Richards, and R. Singh Identification of multi-degree-of-freedom non-linear systems under random excitations by the "reverse path" spectral method J. Sound Vib. 213 4 1998 673 708
C.M. Richards, and R. Singh Feasibility of identifying non-linear vibratory systems consisting of unknown polynomial forms J. Sound Vib. 220 1999 413 450
G. Kerschen, V. Lenaerts, S. Marchesiello, and A. Fasana A frequency domain versus a time domain identification technique for nonlinear parameters applied to wire rope isolators J. Dyn. Syst. Meas. Control 123 2001 645 650
M. Haroon, D.E. Adams, Y.W. Luk, and A.A. Ferri A time and frequency domain approach for identifying nonlinear mechanical system models in the absence of an input measurement J. Sound Vib. 283 2005 1137 1155
K. Worden, D. Hickey, M. Haroon, and D.E. Adams Nonlinear system identification of automotive dampers a time and frequency-domain analysis Mech. Syst. Signal Process. 23 2009 104 126
P. Van Overschee, and B. De Moor Subspace Identification for Linear Systems 1996 Kluwer Academic Publishers Boston, London, Dordrecht
A.G. Russell, Thick skin, faceted, CFRP, monocoque tube structure for smallsats, in: Proceedings of the European Conference on Spacecraft Structures, Materials and Mechanical Testing, Noordwijk, The Netherlands, 2000.
R. Pintelon, and J. Schoukens System Identification A Frequency Domain Approach 2001 IEEE Press Piscataway
B. Peeters, H. Climent, R. de Diego, J. de Alba, J.R. Ahlquist, J.M. Carreño, W. Hendricx, A. Rega, G. Garcia, J. Deweer, J. Debille, Modern solutions for Ground Vibration Testing of large aircraft, in: Proceedings of the International Modal Analysis Conference XXVI, Orlando, FL, 2008.
P. Vacher, B. Jacquier, A. Bucharles, Extensions of the MAC criterion to complex modes, in: Proceedings of the ISMA 2010 International Conference on Noise and Vibration Engineering, Leuven, Belgium, 2010.
