Abstract
The article presents the results of numerical modeling of the accuracy of measuring and reproducing angular velocity with precision rotary stand (turn table), based on all sensors included in it. A comparison of the estimates of the angular velocity of the turntable of the stand with three different methods is performed. The results of modeling the dynamics of the rotary sstand demonstrate a significant difference between the errors in determining the angular velocity of the platform of the stand by measuring quantities from various sensors included in its composition.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Sinelnikov, A.E., Kudryavtsev, V.N., Pavlov, P.A.: A new Russian standard in the field of low-frequency motion quantities measurements. In: Proceedings 9-th St.-Petersburg International Conference on Integrated Navigation Systems, ICINS 2002, St.-Petersburg, Russia, pp. 221–229 (2002)
Probst, R., Wittekopf, R., Krause, M., Dangschat, H., Ernst, A.: The new PTB angle comparator. Measure. Sci. Technol. 9, 1059–1066 (1998)
Watanabe, T., Fujimoto, H., Nakayama, K., Masuda, T., Kajitani, M.: Automatic high precision calibration system for angle encoder. In: Proceedings SPIE, vol. 4401, no. 1, 267–274 (2003); vol. 5190, no. 2, 400–409 (2001)
Velikoseltsev, A., Boronachin, A., Tkachenko, A., Schreiber, K.U., Yankovsky, A., Wells, J.-P.R.: On the application of fiber optic gyroscopes for detection of seismic rotations. J. Seismol. 16(4), 623–637 (2012)
Geckeler, R.D., Krause, M., Just, A., Kranz, O., Bosse, H.: New frontiers in angle metrology at the PTB. In: Proceedings 11th Laser Metrology for Precision Measurement and Inspection in Industry 2014, Tsukuba, Japan, pp. 7–12 (2014)
Sim, P.J.: Modern Techniques in Metrology, pp. 102–121. World Scientific, Singapore (1984)
Bournashev, M.N., Filatov, Y.V., Loukianov, D.P., Pavlov, P.A., Sinelnikov, A.E.: Reproduction of plane angle unit in dynamic mode by means of ring laser and holographic optical encoder. In: Proceedings 2nd International Conference European Society for Precision Engineering and Nanotechnology, Turin, Italy, pp. 322–325 (2001)
Isaev, L.K., Sinelnikov, A.E.: Metrological problems in measuring small and ultrasmall values of parameters of motion. Measure. Techn. 41(4), 301–304 (1998)
Kalihman, D.M., Kalihman, L.Y., Sadomtsev, Y.V., Polushkin, A.V., Deputatova, E.A., Ermakov, R.V., Nahov, S.F., Izmailov, L.A., Molchanov, A.V., Chirkin, M.V.: Multi-purpose precision test simulator with a digital control system for testing rate gyroscopes of different types. In: Proceedings 17th St.-Petersburg International Conference on Integrated Navigation Systems, ICINS 2010, pp. 151–156 (2010)
Ermakov, R.V., Kalihman, D.M., Kalihman, L.Y., Nakhov, S.F., Turkin, V.A., Lvov, A.A., Sadomtsev, Yu.V., Krivtsov, E.P., Yankovskiy, A.A.: Fundamentals of developing integrated digital control of precision stands with inertial sensors using signals from an angular rate sensor, accelerometer, and an optical angle sensor. In: Proceedings 23rd St.-Petersburg International Conference on Integrated Navigation Systems, ICINS 2016, pp. 361–365 (2016)
Kalikhman, D.M., Kalikhman, L.Y., Deputatova, E.A., Krainov, A.P., Krivtsov, E.P., Yankovsky, A.A., Ermakov, R.V., L’vov, A.A.: Ways of extending the measurement range and increasing the accuracy of rotary test benches with inertial sensory elements for gyroscopic devices. In: Proceedings 25-th Anniv. St.-Petersburg International Conference on Integrated Navigation Systems, St.-Petersburg, Russia, CSRI Elektropribor, pp. 460–465 (2018)
Kalikhman, D.M.: Pretcizionny`e upravliaemy`e stendy` dlia dinamicheskikh ispy`tanii` giroskopicheskikh priborov [Precision controllable stands for dynamic testing of gyroscopic instruments], Concern CSRI Elektropribor, St.-Petersburg, Russia. 296, (2008). ISBN 5-900780-82-5 (in Russian)
Deputatova, E.A., Kalikhman, D.M., Polushkin, A.V., Sadomtsev, Yu.V.: Digital stabilization of motion of precision controlled base platforms with inertial sensitive elements. II. Application of float angular velocity sensor and pendulum accelerometers. J. Comput. Syst. Sci. Int. 50(2), 309–324 (2011)
Deputatova, E.A., Kalikhman, D.M., Nikiforov, V.M., Sadomtsev, Y.V.: New generation precision motion simulators with inertial sensors and digital control. J. Comput. Syst. Sci. Int. 53(2), 275–290 (2014). https://doi.org/10.1134/S1064230714020063
Deputatova, E.A., Kalikhman, D.M., Polushkin, A.V., Sadomtsev, Y.V.: Digital stabilization of motion of precision controlled base platforms with inertial sensitive elements. I. Application of float angular velocity sensor. J. Comput. Syst. Sci. Int. 50(1), 117–129 (2011)
Yankovskiy, A.A., Plotnikov, A.V., Savkin, K.B., Kozak, I.V.: Secondary standard of the plane angle: State and developmental trends. Measure. Techn. 55(7), 780–782 (2012)
Ermakov, R.V., Seranova, A.A., L’vov, A.A., Kalikhman, D.M.: Optimal estimation of the motion parameters of a precision rotating stand by maximum likelihood method. Measure. Techn. 62(2), 139–146 (2019). https://doi.org/10.1007/s11018-019-01598-x
Ermakov, R.V., Kalihman, D.M., L’vov, A.A., Sokolov, D.N.: Angular velocity estimation of rotary table bench using aggregate information from the sensors of different physical nature. In: Proceedings 2017 IEEE Russia Section Young Researchers in Electrical and Electronic Engineering Conference, pp. 820–825 (2017)
Ermakov, R.V., Kalikhman, D.M., Kondratov, D.V., Lvov, A.A.: Errors’ distribution laws analysis of sensors for the rotary tables. Matematicheskoye modelirovaniye, komp’yuternyy i naturnyy eksperiment v yestestvennykh naukakh [Mathematical modeling, computer and natural experiment in the natural sciences], 3, 9–16. (2016). http://mathmod.esrae.ru/3-19. (in Russian)
Gill, P.E., Murray, W., Wright, M.H.: Practical Optimization. Academic Press, London (1981)
Grebennikov, V.I., Kalikhman, L.Y., Kalikhman, D.M., Nahov S.F., Skorobogatov, V.V., Sapozhnikov, A.I., Smirnov, E.S.: Vibration-resistant pendulum linear acceleration meter with digital feedback. In: Proceedings 22nd St.-Petersburg International Conference on Integrated Navigation Systems, ICINS 2015, St. Petersburg, CSRI Elektropribor, pp. 368–376 (2015)
Ermakov, R.V., Popov, A.N., Scripal, E.N., Kalikhman, D.M., Kondratov, D.V., L’vov, A.A.: Methods for testing and test results of inertial sensors intended for operation in helicopter-type aircraft. In: Proceedings 24-th St. Petersburg International Conference on Integrated Navigation Systems, St. Petersburg, CSRI Elektropribor, pp. 335–338 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ermakov, R., L’vov, A., Seranova, A., Melnikova, N., Umnova, E. (2021). Numerical Simulation Results of the Optimal Estimation Algorithm for a Turn Table Angular Velocity. In: Dolinina, O., et al. Recent Research in Control Engineering and Decision Making. ICIT 2020. Studies in Systems, Decision and Control, vol 337. Springer, Cham. https://doi.org/10.1007/978-3-030-65283-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-65283-8_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-65282-1
Online ISBN: 978-3-030-65283-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)