@article{collette15_sensor_fusion_method_high_perfor,
  author          = {Collette, Christophe and Matichard, Fabrice},
  title           = {Sensor Fusion Methods for High Performance Active Vibration
                  Isolation Systems},
  journal         = {Journal of Sound and Vibration},
  volume          = 342,
  pages           = {1-21},
  year            = 2015,
  doi             = {10.1016/j.jsv.2015.01.006},
}

@phdthesis{hua05_low_ligo,
  author          = {Hua, Wensheng},
  doi             = {10.1117/12.552518},
  school          = {stanford university},
  title           = {Low frequency vibration isolation and alignment system for
                  advanced {LIGO}},
  year            = 2005,
}

@inproceedings{hua04_polyp_fir_compl_filter_contr_system,
  author          = {Hua, Wensheng and Debra, B. and Hardham, T. and Lantz, T.
                  and Giaime, A.},
  title           = {Polyphase {FIR} Complementary Filters for Control Systems},
  booktitle       = {Proceedings of ASPE Spring Topical Meeting on Control of
                  Precision Systems},
  year            = 2004,
  pages           = {109--114},
}

@article{matichard15_seism_isolat_advan_ligo,
  author          = {Matichard, F and Lantz, B and Mittleman, R and Mason, K and
                  Kissel, J and others},
  title           = {Seismic Isolation of Advanced {LIGO}: Review of Strategy,
                  Instrumentation and Performance},
  journal         = {Classical and Quantum Gravity},
  volume          = 32,
  number          = 18,
  pages           = 185003,
  year            = 2015,
  doi             = {10.1088/0264-9381/32/18/185003},
  publisher       = {IOP Publishing},
}

@article{corke04_inert_visual_sensin_system_small_auton_helic,
  author          = {Corke, Peter},
  title           = {An Inertial and Visual Sensing System for a Small
                  Autonomous Helicopter},
  journal         = {Journal of Robotic Systems},
  volume          = 21,
  number          = 2,
  pages           = {43-51},
  year            = 2004,
  doi             = {10.1002/rob.10127},
}

@inproceedings{jensen13_basic_uas,
  author          = {Austin Jensen and Cal Coopmans and YangQuan Chen},
  title           = {Basics and guidelines of complementary filters for small
                  UAS navigation},
  booktitle       = {2013 International Conference on Unmanned Aircraft Systems
                  (ICUAS)},
  year            = 2013,
  doi             = {10.1109/ICUAS.2013.6564726 },
  month           = 5,
}

@inproceedings{pascoal99_navig_system_desig_using_time,
  author          = {A. Pascoal and I. Kaminer and P. Oliveira},
  title           = {Navigation System Design Using Time-Varying Complementary
                  Filters},
  booktitle       = {Guidance, Navigation, and Control Conference and Exhibit},
  year            = 1999,
  doi             = {10.1109/7.892661},
}

@article{zimmermann92_high_bandw_orien_measur_contr,
  author          = {Zimmermann, M and Sulzer, W},
  title           = {High Bandwidth Orientation Measurement and Control Based on
                  Complementary Filtering},
  journal         = {Robot Control},
  year            = 1992,
  doi             = {10.1016/B978-0-08-041276-4.50093-5},
  publisher       = {Elsevier},
  series          = {Robot Control 1991},
}

@article{sturm99_using_sedum,
  author          = {Sturm, Jos F},
  title           = {Using {SeDuMi} 1.02, a Matlab Toolbox for Optimization Over
                  Symmetric Cones},
  journal         = {Optimization methods and software},
  volume          = 11,
  number          = {1-4},
  pages           = {625--653},
  year            = 1999,
  doi             = {10.1080/10556789908805766},
  publisher       = {Taylor \& Francis},
}

@article{tjepkema12_sensor_fusion_activ_vibrat_isolat_precis_equip,
  author          = {Tjepkema, D and van Dijk, Johannes and Soemers, HMJR},
  title           = {Sensor Fusion for Active Vibration Isolation in Precision
                  Equipment},
  journal         = {Journal of Sound and Vibration},
  volume          = 331,
  number          = 4,
  pages           = {735--749},
  year            = 2012,
  doi             = {10.1016/j.jsv.2011.09.022},
  publisher       = {Elsevier},
}

@article{anderson53_instr_approac_system_steer_comput,
  author          = {Anderson, WG and Fritze, EH},
  title           = {Instrument Approach System Steering Computer},
  journal         = {Proceedings of the IRE},
  volume          = 41,
  number          = 2,
  pages           = {219--228},
  year            = 1953,
  doi             = {10.1109/JRPROC.1953.274209},
  publisher       = {IEEE},
}

@article{shaw90_bandw_enhan_posit_measur_using_measur_accel,
  author          = {Shaw, FR and Srinivasan, K},
  title           = {Bandwidth Enhancement of Position Measurements Using
                  Measured Acceleration},
  journal         = {Mechanical Systems and Signal Processing},
  volume          = 4,
  number          = 1,
  pages           = {23--38},
  year            = 1990,
  doi             = {10.1016/0888-3270(90)90038-M},
  publisher       = {Elsevier},
}

@article{plummer06_optim_compl_filter_their_applic_motion_measur,
  author          = {Plummer, AR},
  title           = {Optimal Complementary Filters and Their Application in
                  Motion Measurement},
  journal         = {Proceedings of the Institution of Mechanical Engineers,
                  Part I: Journal of Systems and Control Engineering},
  volume          = 220,
  number          = 6,
  pages           = {489--507},
  year            = 2006,
  doi             = {10.1243/09596518JSCE229},
  publisher       = {Sage Publications Sage UK: London, England},
}

@article{odry18_kalman_filter_mobil_robot_attit_estim,
  author          = {Odry, {\'A}kos and Fuller, Robert and Rudas, Imre J and
                  Odry, P{\'e}ter},
  title           = {Kalman Filter for Mobile-Robot Attitude Estimation: Novel
                  Optimized and Adaptive Solutions},
  journal         = {Mechanical systems and signal processing},
  volume          = 110,
  pages           = {569--589},
  year            = 2018,
  doi             = {10.1016/j.ymssp.2018.03.053},
  publisher       = {Elsevier},
}

@book{matlab20,
  author          = {MATLAB},
  title           = {version 9.9.0 (R2020b)},
  year            = 2020,
  publisher       = {The MathWorks Inc.},
  address         = {Natick, Massachusetts},
}

@article{brown72_integ_navig_system_kalman_filter,
  author          = {R. G. Brown},
  title           = {Integrated Navigation Systems and Kalman Filtering: a
                  Perspective},
  journal         = {Navigation},
  volume          = 19,
  number          = 4,
  pages           = {355-362},
  year            = 1972,
  doi             = {10.1002/j.2161-4296.1972.tb01706.x},
}

@article{moore19_capac_instr_sensor_fusion_high_bandw_nanop,
  author          = {Steven Ian Moore and Andrew J. Fleming and Yuen Kuan Yong},
  title           = {Capacitive Instrumentation and Sensor Fusion for
                  High-Bandwidth Nanopositioning},
  journal         = {IEEE Sensors Letters},
  volume          = 3,
  number          = 8,
  pages           = {1-3},
  year            = 2019,
  doi             = {10.1109/lsens.2019.2933065},
}

@article{higgins75_compar_compl_kalman_filter,
  author          = {Higgins, Walter T},
  title           = {A Comparison of Complementary and Kalman Filtering},
  journal         = {IEEE Transactions on Aerospace and Electronic Systems},
  number          = 3,
  pages           = {321--325},
  year            = 1975,
  doi             = {10.1109/TAES.1975.308081},
  publisher       = {IEEE},
}

@book{robert12_introd_random_signal_applied_kalman,
  author          = {Robert Grover Brown, Patrick Y. C. Hwang},
  title           = {Introduction to Random Signals and Applied Kalman Filtering
                  with Matlab Exercises},
  year            = 2012,
  publisher       = {Wiley},
  day             = 07,
  edition         = 4,
  isbn            = {978-0-470-60969-9},
  month           = 02,
  note            = {isbn:978-0-470-60969-9},
  pagecount       = 400,
}

@inproceedings{becker15_compl_filter_desig_three_frequen_bands,
  author          = {Becker, Thiago and Fabro, Joao Alberto and Oliveira, Andre
                  Schneider de and Reis, Luis Paulo},
  title           = {Complementary Filter Design with Three Frequency Bands:
                  Robot Attitude Estimation},
  booktitle       = {International Conference on Autonomous Robot Systems and
                  Competitions},
  year            = 2015,
  doi             = {10.1109/ICARSC.2015.34},
  isbn            = {978-1-4673-6991-6},
  note            = {isbn:978-1-4673-6991-6},
  page            = {204--209},
}

@article{yong16_high_speed_vertic_posit_stage,
  author          = "Yuen K. Yong and Andrew J. Fleming",
  title           = {High-Speed Vertical Positioning Stage With Integrated
                  Dual-Sensor Arrangement},
  journal         = "Sensors and Actuators A: Physical",
  volume          = 248,
  pages           = "184 - 192",
  year            = 2016,
  doi             = {10.1016/j.sna.2016.06.042},
  issn            = "0924-4247",
}

@inproceedings{baerveldt97_low_cost_low_weigh_attit,
  author          = {A.-J. Baerveldt and R. Klang},
  title           = {A Low-Cost and Low-Weight Attitude Estimation System for an
                  Autonomous Helicopter},
  booktitle       = {Proceedings of IEEE International Conference on Intelligent
                  Engineering Systems},
  year            = 1997,
  doi             = {10.1109/ines.1997.632450},
  month           = {-},
}

@article{stoten01_fusion_kinet_data_using_compos_filter,
  author          = {Stoten, DP},
  title           = {Fusion of Kinetic Data Using Composite Filters},
  journal         = {Proceedings of the Institution of Mechanical Engineers,
                  Part I: Journal of Systems and Control Engineering},
  volume          = 215,
  number          = 5,
  pages           = {483--497},
  year            = 2001,
  doi             = {10.1177/095965180121500505},
  publisher       = {SAGE Publications Sage UK: London, England},
}

@article{bendat57_optim_filter_indep_measur_two,
  author          = {J. Bendat},
  title           = {Optimum Filters for Independent Measurements of Two Related
                  Perturbed Messages},
  journal         = {IRE Transactions on Circuit Theory},
  year            = 1957,
  doi             = {10.1109/tct.1957.1086345},
  page            = {--},
}

@inproceedings{hua04_low_ligo,
  author          = {Hua, Wensheng and Adhikari, R and DeBra, Daniel B and
                  Giaime, Joseph A and Hammond, Giles Dominic and Hardham, C and
                  Hennessy, Mike and How, Jonathan P and Lantz, Brian T and
                  Macinnis, M and others},
  title           = {Low-frequency active vibration isolation for advanced {LIGO}},
  booktitle       = {Gravitational Wave and Particle Astrophysics Detectors},
  year            = 2004,
  volume          = 5500,
  pages           = {194--205},
  organization    = {International Society for Optics and Photonics},
}

@phdthesis{heijningen18_low,
  author          = {van Heijningen, JV},
  school          = {Vrije Universiteit},
  title           = {Low-frequency performance improvement of seismic
                  attenuation systems and vibration sensors for next generation
                  gravitational wave detectors},
  year            = 2018,
}

@phdthesis{lucia18_low_frequen_optim_perfor_advan,
  author          = {Trozzo Lucia},
  school          = {University of Siena},
  title           = {Low Frequency Optimization and Performance of Advanced
                  Virgo Seismic Isolation System},
  year            = 2018,
}

@inproceedings{mahony05_compl_filter_desig_special_orthog,
  author          = {R. Mahony and T. Hamel and J.-M. Pflimlin},
  title           = {Complementary Filter Design on the Special Orthogonal Group
                  SO(3)},
  booktitle       = {Proceedings of the 44th IEEE Conference on Decision and
                  Control},
  year            = 2005,
  doi             = {10.1109/cdc.2005.1582367},
  month           = {-},
}

@article{min15_compl_filter_desig_angle_estim,
  author          = {Min, Hyung Gi and Jeung, Eun Tae},
  title           = {Complementary Filter Design for Angle Estimation Using Mems
                  Accelerometer and Gyroscope},
  journal         = {Department of Control and Instrumentation, Changwon
                  National University, Changwon, Korea},
  pages           = {641--773},
  year            = 2015,
}

@article{batista10_optim_posit_veloc_navig_filter_auton_vehic,
  author          = {Batista, Pedro and Silvestre, Carlos and Oliveira, Paulo},
  title           = {Optimal Position and Velocity Navigation Filters for
                  Autonomous Vehicles},
  journal         = {Automatica},
  volume          = 46,
  number          = 4,
  pages           = {767--774},
  year            = 2010,
  doi             = {10.1016/j.automatica.2010.02.004},
  publisher       = {Elsevier},
}

@phdthesis{sekiguchi16_study_low_frequen_vibrat_isolat_system,
  author          = {Sekiguchi, Takanori},
  school          = {University of Tokyo},
  title           = {A Study of Low Frequency Vibration Isolation System for
                  large scale gravitational wave detectors},
  year            = 2016,
}

@article{yeh05_model_contr_hydraul_actuat_two,
  author          = {T-J Yeh and C-Y Su and W-J Wang},
  title           = {Modelling and Control of a Hydraulically Actuated
                  Two-Degree-Of-Freedom Inertial Platform},
  journal         = {Proceedings of the Institution of Mechanical Engineers,
                  Part I: Journal of Systems and Control Engineering},
  volume          = 219,
  number          = 6,
  pages           = {405-417},
  year            = 2005,
  doi             = {10.1243/095965105x33527},
}

@inproceedings{dehaeze19_compl_filter_shapin_using_synth,
  author          = {Dehaeze, Thomas and Vermat, Mohit and Collette, Christophe},
  title           = {Complementary Filters Shaping Using $\mathcal{H}_\infty$
                  Synthesis},
  booktitle       = {7th International Conference on Control, Mechatronics and
                  Automation (ICCMA)},
  year            = 2019,
  pages           = {459-464},
  doi             = {10.1109/ICCMA46720.2019.8988642},
  language        = {english},
}

@misc{dehaeze21_new_method_desig_compl_filter_code,
  author          = {Thomas Dehaeze},
  doi             = {10.5281/zenodo.3894342},
  howpublished    = {Source Code on Zonodo},
  month           = 09,
  title           = {A New Method of Designing Complementary Filters for Sensor
                  Fusion using $\mathcal{H}_\infty$ Synthesis},
  year            = 2021,
}
