main_bib.bib

@book{feedback_control_theory,
	author = {Doyle, John and A, Francis and Tannenbaum, Allen},
	year = {2009},
	month = {01},
	pages = {},
	title = {Feedback Control Theory},
	doi = {10.1007/978-0-387-85460-1_1}
}

@book{modern_control_engineering,
	author = {Katsuhiko Ogata},
	title = "{Modern Control Engineering}",
}

@book{control_engineering,
	author = {László Keviczky, Ruth Bars, Jenő Hetthéssy, and Csilla Bányász},
	title = "{Control Engineering}",
}

@online{PRM_magnet_came_off,
	author = {Yoshinori Fujii},
	title = "{PRM inspection, one magnet had come off}",
	date = {28 February 2019},
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=8255}},
}

@online{MICH_got_locked,
	author = {Masayuki Nakano},
	title = "{MICH get locked for 45 min!!}",
	date = {22 February 2019},
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=8182}}
}

@online{SR2_oplev_diagonalization,
	author = {Terrence Tsang},
	title = "{SR2 OPLEV diagonalization}",
	date = {14 March 2019},
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=8411}}
}

@online{Comment_SR2_oplev,
	author = {Mark Barton},
	title = "{Comment to SR2 OPLEV diagonalization}",
	date = {15 March 2019},
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=8419}}
}

@online{prequa,
	author = {Masayuki Nakano},
	title = "{PReQua}",
	date = {},
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=11861}}
}

@online{SRM_work,
	author = {Fabian Arellano},
	title = "{SRM work: Bottom Filter, Payload and Top Filter limit switches.}",
	date = {24 November 2020},
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=15518}}
}

@online{yuta_oplev,
	author = {Yuta Michimura},
	title = "{What to do with light levers at KAGRA (Translated)}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=2403}}
}

@online{suspension_commissioning,
	author = {Kouseki Miyo},
	title = "{Suspension Commissioning}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=12444}}
}

@online{seismic_noise_kagra,
	author = {Kouseki Miyo},
	title = "{Seismic noise of KAGRA mine}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=10436}}
}

@online{advanced_ligo_guardian,
	author = {Jameson Graef Rollins},
	title = "{Advanced LIGO Guardian: Overview and Coder’s Introduction}",
	note ={\url{https://dcc.ligo.org/LIGO-G1400016/public}}
}

@online{all_of_the_vibration,
	author = {Kouseki Miyo},
	title = "{All of the Vibration Isolation System in KAGRA}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=12144}}
}

@online{bs_suspension_diagonalization,
	author = {Mark Barton and Enzo Tapia},
	title = "{BS Suspension Diagonalization Matrices}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=7205}}
}

@online{sr_suspension_diagonalization,
	author = {Mark Barton},
	title = "{SR Suspension Diagonalization Matrices}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=7663}}
}

@online{sensing_matrices_oplev,
	author = {Tsang Terrence Tak Lun},
	title = "{Sensing Matrices for Optical Levers (OpLev) of the KAGRA Main Optics}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=12874}}
}

@online{use_of_osems,
	author = {Enzo Tapia},
	title = "{Lecture 4: Use of OSEMs for VIS}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=8873}}
}

@online{length_sensing_oplev,
	author = {Simon Zeidler},
	title = "{Length-Sensing OpLevs for KAGRA}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=5788}}
}

@online{optical_lever_for_kagra,
	author = {Kazuhiro Agatsuma},
	title = "{Optical lever for KAGRA}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=2396}}
}

@online{trillium_compact_120-sv1,
	author = {Kouseki Miyo},
	title = "{Trillium Compact 120-SV1 Information}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=8440}}
}

@online{status_of_acc_development_2,
	author = {Ryutaro Takahashi},
	title = "{Status of ACC development II}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=11774}}
}

@online{kontrol_noise_estimation,
	author = {Tsang Terrence Tak Lun},
	title = "{Noise Estimation using Correlation Methods}",
	note = {\url{https://kontrol.readthedocs.io/en/latest/tutorials/noise_estimation_using_correlation_methods.html}}
}

@online{scipy_optimize,
	author = {SciPy},
	title = "{Optimization and root finding (scipy.optimize}",
	note = {\url{https://docs.scipy.org/doc/scipy/reference/optimize.html}}
}

@online{scipy_mathematical_optimization,
	author = {Gaël Varoquaux},
	title = "{Mathematical optimization: finding minima of functions}",
	note = {\url{https://scipy-lectures.org/advanced/mathematical_optimization/#a-review-of-the-different-optimizers}}
}

@online{invert_models_matlab,
	author = {MathWorks},
	title = "{Invert models - MATLAB inv - MathWorks}",
	note = {\url{https://www.mathworks.com/help/control/ref/lti.inv.html}}
}

@online{sensor_correction_gain_tuning,
	author = {Fujii Yoshinori},
	title = "{A quick test for sensor-correction-gain tuning}",
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=10164}}
}

@online{comment_to_sensor_correction_gain_tuning,
	author = {Fujii Yoshinori},
	title = "{Comment to A quick test for sensor-correction-gain tuning}",
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=10179}}
}

@online{norms_for_signals_and_systems,
	author ={Caltech},
	title = "{Norms for Signals and Systems}",
	note = {\url{http://www.cds.caltech.edu/~macmardg/courses/cds110b/dft/dft92-ch2.pdf}}
}

@online{srm_inertial_damping,
	author = {Tsang, Terrence Tak Lun},
	title = "{SRM Inertial damping}",
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=9064}}
}

@online{discussion_on_vis_inertial_sensor,
	author = {Tsang, Terrence Tak Lun},
	title = "{Discussion on VIS Inertial Sensor Sensitivity Requirement for Post-O3 Upgrade}",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=11606}}
}

@online{a_sensor_correction_test_with_ip,
	author = {Yoshinori Fujii},
	title = "{A sensor correction test with IP}",
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=9941}}
}

@online{sensor_correction_performance_check_part1,
	author = {Yoshinori Fujii},
	title = "{sensor correction performance check (part 1)}",
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=10607}}
}

@online{performance_check_of_sensor_correction_with_xarm_part2,
	author = {Yoshinori Fujii},
	title = "{Performance check of sensor correction w/ Xarm (part 2)}",
	note = {\url{https://klog.icrr.u-tokyo.ac.jp/osl/?r=10652}}
}


@phdthesis{Sekiguchi:2016bmv,
	author = "Sekiguchi, T.",
	title = "{Study of Low Frequency Vibration Isolation System for Large Scale Gravitational Wave Detectors}",
	school = "Tokyo U.",
	year = "2016",
	note = {\url{https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=4155}}
}

@phdthesis{Heijningen:2018evm,
	author = "van Heijningen, Joris Vincent",
	title = "{Turn up the bass! Low-frequency performance improvement of seismic attenuation systems and vibration sensors for next generation gravitational wave detectors}",
	school = "Vrije U., Amsterdam",
	year = "2018"
}

@phdthesis{low_frequency_optimization_and_performance_of_advanced_virgo_seismic_isolation_system,
	author = "Lucia Trozzo",
	title = "{Low Frequency Optimization and Performance of	Advanced Virgo Seismic Isolation System}",
	school = "Università degli Studi di Siena",
	year = "2018",
}

@article{doi:10.1119/1.1286663,
	author = {Black,Eric D. },
	title = "{An introduction to Pound–Drever–Hall laser frequency stabilization}",
	journal = {American Journal of Physics},
	volume = {69},
	number = {1},
	pages = {79-87},
	year = {2001},
	doi = {10.1119/1.1286663},
	URL = { 
	https://doi.org/10.1119/1.1286663
	},
	eprint = { 
	https://doi.org/10.1119/1.1286663
	}
}

@article{PhysRevD.88.043007,
	title = "{Interferometer design of the KAGRA gravitational wave detector}",
	author = {Aso, Yoichi and Michimura, Yuta and Somiya, Kentaro and Ando, Masaki and Miyakawa, Osamu and Sekiguchi, Takanori and Tatsumi, Daisuke and Yamamoto, Hiroaki},
	collaboration = {The KAGRA Collaboration},
	journal = {Phys. Rev. D},
	volume = {88},
	issue = {4},
	pages = {043007},
	numpages = {15},
	year = {2013},
	month = {Aug},
	publisher = {American Physical Society},
	doi = {10.1103/PhysRevD.88.043007},
	url = {https://link.aps.org/doi/10.1103/PhysRevD.88.043007}
}

@article{Mueller:05,
	author = {Guido Mueller},
	journal = {Opt. Express},
	keywords = {Fabry-Perot; Interferometry; Astronomical optics; Optical engineering; Beam splitters; Detectors; Laser beams; Optical components; Phase shift; Photodetectors},
	number = {18},
	pages = {7118--7132},
	publisher = {OSA},
	title = "{Beam jitter coupling in advanced LIGO}",
	volume = {13},
	month = {Sep},
	year = {2005},
	url = {http://www.opticsexpress.org/abstract.cfm?URI=oe-13-18-7118},
	doi = {10.1364/OPEX.13.007118},
	abstract = {Fluctuations in the position or propagation direction of the laser beam (beam jitter) is one of the most critical technical noise sources in an interferometric gravitational wave detector. These fluctuations couple to spurious misalignments of the mirrors forming the interferometer and potentially decrease the sensitivity. In this paper we calculate the transfer function of beam jitter into the gravitational wave channel for the Advanced LIGO detector and derive a first expression for the requirements on beam jitter for Advanced LIGO.},
}

@article{Akutsu:2020efg,
	author = "Akutsu, Tomotada and others",
	title = "{Compact integrated optical sensors and electromagnetic actuators for vibration isolation systems in the gravitational-wave detector KAGRA}",
	eprint = "2007.09571",
	archivePrefix = "arXiv",
	primaryClass = "astro-ph.IM",
	reportNumber = "JGW-P2011605",
	doi = "10.1063/5.0022242",
	journal = "Rev. Sci. Instrum.",
	volume = "91",
	number = "11",
	pages = "115001",
	year = "2020"
}

@article{Akutsu:2021auw,
	author = "Akutsu, T. and others",
	title = "{Vibration isolation systems for the beam splitter and signal recycling mirrors of the KAGRA gravitational wave detector}",
	doi = "10.1088/1361-6382/abd922",
	journal = "Class. Quant. Grav.",
	volume = "38",
	number = "6",
	pages = "065011",
	year = "2021"
}

@article{Akutsu:2020wgy,
	author = "Ushiba, Takafumi and others",
	title = "{Cryogenic suspension design for a kilometer-scale gravitational-wave detector}",
	eprint = "2010.01889",
	archivePrefix = "arXiv",
	primaryClass = "physics.ins-det",
	doi = "10.1088/1361-6382/abe9f3",
	journal = "Class. Quant. Grav.",
	volume = "38",
	number = "8",
	pages = "085013",
	year = "2021"
}

@article{technique_for_measurement_of_the_noise,
	author = {Barzilai, Aaron and VanZandt, Tom and Kenny, Tom},
	year = {1998},
	month = {07},
	pages = {2767-2772},
	title = {Technique for measurement of the noise of a sensor in the presence of large background signals},
	volume = {69},
	journal = {Review of Scientific Instruments},
	doi = {10.1063/1.1149013}
}

@article{Sleeman2006ThreeChannelCA,
	title={Three-Channel Correlation Analysis: A New Technique to Measure Instrumental Noise of Digitizers and Seismic Sensors},
	author={R. Sleeman and A. Wettum and J. Trampert},
	journal={Bulletin of the Seismological Society of America},
	year={2006},
	volume={96},
	pages={258-271}
}

@article{Matichard_2015,
	title={Seismic isolation of Advanced LIGO: Review of strategy, instrumentation and performance},
	volume={32},
	ISSN={1361-6382},
	url={http://dx.doi.org/10.1088/0264-9381/32/18/185003},
	DOI={10.1088/0264-9381/32/18/185003},
	number={18},
	journal={Classical and Quantum Gravity},
	publisher={IOP Publishing},
	author={Matichard, F and Lantz, B and Mittleman, R and Mason, K and Kissel, J and Abbott, B and Biscans, S and McIver, J and Abbott, R and Abbott, S and et al.},
	year={2015},
	month={Aug},
	pages={185003}
}


@INPROCEEDINGS{complementary_filters_shaping_using_h_infinity_synthesis,
	author={Thomas, Dehaeze and Mohit, Verma and Christophe, Collette},
	booktitle={2019 7th International Conference on Control, Mechatronics and Automation (ICCMA)}, 
	title={Complementary Filters Shaping Using $\mathcal{H}_\infty$ Synthesis}, 
	year={2019},
	volume={},
	number={},
	pages={459-464},
	doi={10.1109/ICCMA46720.2019.8988642}}

@misc{enwiki:1019572955,
	author = "{Wikipedia contributors}",
	title = "Gradient descent --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2021",
	howpublished = "\url{https://en.wikipedia.org/w/index.php?title=Gradient_descent&oldid=1019572955}",
	note = "[Online; accessed 23-May-2021]"
}

@misc{enwiki:1017509035,
	author = "{Wikipedia contributors}",
	title = "Simulated annealing --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2021",
	howpublished = "\url{https://en.wikipedia.org/w/index.php?title=Simulated_annealing&oldid=1017509035}",
	note = "[Online; accessed 23-May-2021]"
}

@misc{wiki:nelder_mead,
	author = "{Wikipedia contributors}",
	title = "Nelder–Mead method --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2021",
	howpublished = "\url{https://en.wikipedia.org/w/index.php?title=Nelder%E2%80%93Mead_method&oldid=1018086682}",
	note = "[Online; accessed 23-May-2021]"
}

@misc{wiki:differential_evolution,
	author = "{Wikipedia contributors}",
	title = "Differential evolution --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2021",
	howpublished = "\url{https://en.wikipedia.org/w/index.php?title=Differential_evolution&oldid=1016542156}",
	note = "[Online; accessed 23-May-2021]"
}

@misc{wiki:preconditioner,
	author = "{Wikipedia contributors}",
	title = "Preconditioner --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2021",
	howpublished = "\url{https://en.wikipedia.org/w/index.php?title=Preconditioner&oldid=1012689908}",
	note = "[Online; accessed 23-May-2021]"
}

@misc{wiki:bode's_sensitivity_integral,
	author = "{Wikipedia contributors}",
	title = "Bode's sensitivity integral --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2020",
	howpublished = "\url{https://en.wikipedia.org/w/index.php?title=Bode%27s_sensitivity_integral&oldid=995575409}",
	note = "[Online; accessed 10-June-2021]"
}

@misc{wiki:microseism,
	author = "{Wikipedia contributors}",
	title = "Microseism --- {Wikipedia}{,} The Free Encyclopedia",
	year = "2021",
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	note = "[Online; accessed 10-June-2021]"
}

@thesis{low_frequency_vibration_isolation_hua,
	author = {Hua, Wensheng},
	title = "{Low Frequency Vibration Isolation and Alignment System for Advanced LIGO.}",
	institution = {Stanford University},
	date = {June 2005},
}