A state observer for the Virgo inverted pendulum

T. Accadia; F. Acernese; P. Astone; G. Ballardin; F. Barone; M. Barsuglia; A. Basti; T.S. Bauer; M. Bebronne; M.G. Beker; A. Belletoile; M. Bitossi; M.A. Bizouard; M. Blom; F. Bondu; L. Bonelli; R. Bonnand; V. Boschi; L. Bosi; B. Bouhou; S. Braccini; C. Bradaschia; M. Branchesi; T. Briant; A. Brillet; V. Brisson; T. Bulik; H.J. Bulten; D. Buskulic; C. Buy; G. Cagnoli; E. Calloni; B. Canuel; F. Carbognani; F. Cavalier; R. Cavalieri; G. Cella; E. Cesarini; O. Chaibi; E. Chassande-Mottin; A. Chincarini; A. Chiummo; F. Cleva; E. Coccia; P.F. Cohadon; C.N. Colacino; J. Colas; A. Colla; M. Colombini; A. Conte; J.F.J. van den Brand

doi:10.1063/1.3637466

A state observer for the Virgo inverted pendulum

T. Accadia, F. Acernese, P. Astone, G. Ballardin, F. Barone, M. Barsuglia, A. Basti, T.S. Bauer, M. Bebronne, M.G. Beker, A. Belletoile, M. Bitossi, M.A. Bizouard, M. Blom, F. Bondu, L. Bonelli, R. Bonnand, V. Boschi^*, L. Bosi, B. BouhouS. Braccini, C. Bradaschia, M. Branchesi, T. Briant, A. Brillet, V. Brisson, T. Bulik, H.J. Bulten, D. Buskulic, C. Buy, G. Cagnoli, E. Calloni, B. Canuel, F. Carbognani, F. Cavalier, R. Cavalieri, G. Cella, E. Cesarini, O. Chaibi, E. Chassande-Mottin, A. Chincarini, A. Chiummo, F. Cleva, E. Coccia, P.F. Cohadon, C.N. Colacino, J. Colas, A. Colla, M. Colombini, A. Conte, J.F.J. van den Brand

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We report an application of Kalman filtering to the inverted pendulum (IP) of the Virgo gravitational wave interferometer. Using subspace method system identification techniques, we calculated a linear mechanical model of Virgo IP from experimental transfer functions. We then developed a Kalman filter, based on the obtained state space representation, that estimates from open loop time domain data, the state variables of the system. This allows the observation (and eventually control) of every resonance mode of the IP mechanical structure independently. (C) 2011 American Institute of Physics. [doi:10.1063/1.3637466]

Original language	English
Article number	094502
Number of pages	9
Journal	Review of Scientific Instruments
Volume	82
Issue number	9
DOIs	https://doi.org/10.1063/1.3637466
Publication status	Published - 1 Sept 2011
Externally published	Yes

Keywords

gravitational wave detectors
interferometers
Kalman filters
nonlinear systems
pendulums

Access to Document

10.1063/1.3637466

Cite this

Accadia, T., Acernese, F., Astone, P., Ballardin, G., Barone, F., Barsuglia, M., Basti, A., Bauer, T. S., Bebronne, M., Beker, M. G., Belletoile, A., Bitossi, M., Bizouard, M. A., Blom, M., Bondu, F., Bonelli, L., Bonnand, R., Boschi, V., Bosi, L., ... van den Brand, J. F. J. (2011). A state observer for the Virgo inverted pendulum. Review of Scientific Instruments, 82(9), Article 094502. https://doi.org/10.1063/1.3637466

@article{2939dcda657544d1aaf32826c3dce410,

title = "A state observer for the Virgo inverted pendulum",

abstract = "We report an application of Kalman filtering to the inverted pendulum (IP) of the Virgo gravitational wave interferometer. Using subspace method system identification techniques, we calculated a linear mechanical model of Virgo IP from experimental transfer functions. We then developed a Kalman filter, based on the obtained state space representation, that estimates from open loop time domain data, the state variables of the system. This allows the observation (and eventually control) of every resonance mode of the IP mechanical structure independently. (C) 2011 American Institute of Physics. [doi:10.1063/1.3637466]",

keywords = "gravitational wave detectors, interferometers, Kalman filters, nonlinear systems, pendulums",

author = "T. Accadia and F. Acernese and P. Astone and G. Ballardin and F. Barone and M. Barsuglia and A. Basti and T.S. Bauer and M. Bebronne and M.G. Beker and A. Belletoile and M. Bitossi and M.A. Bizouard and M. Blom and F. Bondu and L. Bonelli and R. Bonnand and V. Boschi and L. Bosi and B. Bouhou and S. Braccini and C. Bradaschia and M. Branchesi and T. Briant and A. Brillet and V. Brisson and T. Bulik and H.J. Bulten and D. Buskulic and C. Buy and G. Cagnoli and E. Calloni and B. Canuel and F. Carbognani and F. Cavalier and R. Cavalieri and G. Cella and E. Cesarini and O. Chaibi and E. Chassande-Mottin and A. Chincarini and A. Chiummo and F. Cleva and E. Coccia and P.F. Cohadon and C.N. Colacino and J. Colas and A. Colla and M. Colombini and A. Conte and {van den Brand}, J.F.J.",

year = "2011",

month = sep,

day = "1",

doi = "10.1063/1.3637466",

language = "English",

volume = "82",

journal = "Review of Scientific Instruments",

issn = "0034-6748",

publisher = "American Institute of Physics Publising LLC",

number = "9",

}

Accadia, T, Acernese, F, Astone, P, Ballardin, G, Barone, F, Barsuglia, M, Basti, A, Bauer, TS, Bebronne, M, Beker, MG, Belletoile, A, Bitossi, M, Bizouard, MA, Blom, M, Bondu, F, Bonelli, L, Bonnand, R, Boschi, V, Bosi, L, Bouhou, B, Braccini, S, Bradaschia, C, Branchesi, M, Briant, T, Brillet, A, Brisson, V, Bulik, T, Bulten, HJ, Buskulic, D, Buy, C, Cagnoli, G, Calloni, E, Canuel, B, Carbognani, F, Cavalier, F, Cavalieri, R, Cella, G, Cesarini, E, Chaibi, O, Chassande-Mottin, E, Chincarini, A, Chiummo, A, Cleva, F, Coccia, E, Cohadon, PF, Colacino, CN, Colas, J, Colla, A, Colombini, M, Conte, A & van den Brand, JFJ 2011, 'A state observer for the Virgo inverted pendulum', Review of Scientific Instruments, vol. 82, no. 9, 094502. https://doi.org/10.1063/1.3637466

TY - JOUR

T1 - A state observer for the Virgo inverted pendulum

AU - Accadia, T.

AU - Acernese, F.

AU - Astone, P.

AU - Ballardin, G.

AU - Barone, F.

AU - Barsuglia, M.

AU - Basti, A.

AU - Bauer, T.S.

AU - Bebronne, M.

AU - Beker, M.G.

AU - Belletoile, A.

AU - Bitossi, M.

AU - Bizouard, M.A.

AU - Blom, M.

AU - Bondu, F.

AU - Bonelli, L.

AU - Bonnand, R.

AU - Boschi, V.

AU - Bosi, L.

AU - Bouhou, B.

AU - Braccini, S.

AU - Bradaschia, C.

AU - Branchesi, M.

AU - Briant, T.

AU - Brillet, A.

AU - Brisson, V.

AU - Bulik, T.

AU - Bulten, H.J.

AU - Buskulic, D.

AU - Buy, C.

AU - Cagnoli, G.

AU - Calloni, E.

AU - Canuel, B.

AU - Carbognani, F.

AU - Cavalier, F.

AU - Cavalieri, R.

AU - Cella, G.

AU - Cesarini, E.

AU - Chaibi, O.

AU - Chassande-Mottin, E.

AU - Chincarini, A.

AU - Chiummo, A.

AU - Cleva, F.

AU - Coccia, E.

AU - Cohadon, P.F.

AU - Colacino, C.N.

AU - Colas, J.

AU - Colla, A.

AU - Colombini, M.

AU - Conte, A.

AU - van den Brand, J.F.J.

PY - 2011/9/1

Y1 - 2011/9/1

N2 - We report an application of Kalman filtering to the inverted pendulum (IP) of the Virgo gravitational wave interferometer. Using subspace method system identification techniques, we calculated a linear mechanical model of Virgo IP from experimental transfer functions. We then developed a Kalman filter, based on the obtained state space representation, that estimates from open loop time domain data, the state variables of the system. This allows the observation (and eventually control) of every resonance mode of the IP mechanical structure independently. (C) 2011 American Institute of Physics. [doi:10.1063/1.3637466]

AB - We report an application of Kalman filtering to the inverted pendulum (IP) of the Virgo gravitational wave interferometer. Using subspace method system identification techniques, we calculated a linear mechanical model of Virgo IP from experimental transfer functions. We then developed a Kalman filter, based on the obtained state space representation, that estimates from open loop time domain data, the state variables of the system. This allows the observation (and eventually control) of every resonance mode of the IP mechanical structure independently. (C) 2011 American Institute of Physics. [doi:10.1063/1.3637466]

KW - gravitational wave detectors

KW - interferometers

KW - Kalman filters

KW - nonlinear systems

KW - pendulums

U2 - 10.1063/1.3637466

DO - 10.1063/1.3637466

M3 - Article

SN - 0034-6748

VL - 82

JO - Review of Scientific Instruments

JF - Review of Scientific Instruments

IS - 9

M1 - 094502

ER -