Theoretical and experimental assessments of accuracy of nonorthogonal mems sensor arrays
DOI:
https://doi.org/10.15587/1729-4061.2018.131945Keywords:
dynamic analysis, experimental tests, МЕМС sensor, nonorthogonal configuration, measuring error, redundant measuring instrument, theoretical assessmentAbstract
The paper deals with theoretical and practical assessments of nonorthogonal configurations of MEMS sensors based on both the uniaxial gyroscopes and the triaxial inertial measuring units. The main goal of the paper is research of the possibility to use nonorthogonal redundant configurations in navigation applications. Methods of inertial navigation, analytical mechanics, mathematical statistics and simulation were used in the research. Analysis of nonorthogonal redundant configurations of uniaxial MEMS sensor arrays including matrices of directional cosines has been carried out. Description of nonorthogonal redundant MEMS sensor array based on inertial measuring units (MPU-6050) is represented. Tables of directional cosines for nonortogonal redundant MEMS arrays based on inertial measuring units with such constructive elements as triangular and tetragonal pyramids are obtained. The mutual location of measuring axes for these configurations is given. Features of dynamic test including equipment possibilities and technique of random errors determination are described. Using of the three-degree-of-freedom test bench provides the simulation of the developed MEMS sensor arrays in conditions close to the real operation. The theoretical assessment of accuracy of nonorthogonal redundant MEMS sensor arrays based on both the uniaxial gyroscopes and the triaxial inertial measuring units is carried out. The assessment is implemented using correlation matrices of errors. The experimental assessment of the MEMS array based on triaxial inertial measuring units is determined based on the results of the dynamic analysis. The appropriate graphical dependences including graphs of relative variances and histograms of the random errors distribution are presented. Comparative analysis of the obtained assessments is given. The results can be useful for the design of navigation systems, for example, unmanned aerial vehicles or rockets for the launch of satellites into orbit.
References
- Pejsa, A. J. (1974). Optimum Skewed Redundant Inertial Navigators. AIAA Journal, 12 (7), 899–902. doi: 10.2514/3.49378
- Epifanov, A. D. (1975). Nadezhnost' sistem upravleniya. Moscow: Mashinostroenie, 144.
- Epifanov, A. D. (1978). Izbytochnye sistemy upravleniya letatel'nymi apparatami. Moscow: Mashinostroenie, 178.
- Dai, X., Zhao, L., Shi, Z. (2013). Fault Tolerant Control in Redundant Inertial Navigation System. Mathematical Problems in Engineering, 2013, 1–11. doi: 10.1155/2013/782617
- Rogne, R. H., Bryne, T. H., Fossen, T. I., Johansen, T. A. (2018). Redundant MEMS-Based Inertial Navigation Using Nonlinear Observers. Journal of Dynamic Systems, Measurement, and Control, 140 (7), 071001. doi: 10.1115/1.4038647
- Song, J. W., Park, C. G. (2016). Optimal Configuration of Redundant Inertial Sensors Considering Lever Arm Effect. IEEE Sensors Journal, 16 (9), 3171–3180. doi: 10.1109/jsen.2015.2510545
- Jafari, M. (2015). Optimal redundant sensor configuration for accuracy increasing in space inertial navigation system. Aerospace Science and Technology, 47, 467–472. doi: 10.1016/j.ast.2015.09.017
- Jafari, M., Roshanian, J. (2012). Optimal Redundant Sensor Configuration for Accuracy and Reliability Increasing in Space Inertial Navigation Systems. Journal of Navigation, 66 (02), 199–208. doi: 10.1017/s0373463312000434
- Sushchenko, O. A., Golitsyn, V. O. (2016). Data processing system for altitude navigation sensor. 2016 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC). doi: 10.1109/msnmc.2016.7783112
- Larin, V. B., Tunik, A. A. (2015). Fault-tolerant strap-down inertial navigation systems with external corrections. Applied and Computational Mathematics, 14 (1), 23–37.
- Larin, V. B., Tunik, A. A. (2013). On Inertial-Navigation System without Angular-Rate Sensors. International Applied Mechanics, 49 (4), 488–499. doi: 10.1007/s10778-013-0582-x
- Chikovani, V., Sushchenko, O., Tsiruk, H. (2016). Redundant information processing techniques comparison for differential vibratory gyroscope. Eastern-European Journal of Enterprise Technologies, 4 (7 (82)), 45–52. doi: 10.15587/1729-4061.2016.75206
- Parshin, A. P., Nemshilov, Y. A. (2016). Development of measurement UAV attitude control unit with non-orthogonal arrangement of sensing elements. Modern technics and technologies, 3. Available at: http://technology.snauka.ru/2016/03/9697
- Sushchenko, O. A., Bezkorovainyi, Y. N., Novytska, N. D. (2017). Nonorthogonal redundant configurations of inertial sensors. 2017 IEEE 4th International Conference Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD). doi: 10.1109/apuavd.2017.8308780
- MPU-6000 and MPU-6050 Product Specification. Available at: https://store.invensense.com/datasheets/invensense/MPU-6050_DataSheet_.pdf
- Lurie, A. I. (2002). Analytical mechanics. Springer, 864. doi: 10.1007/978-3-540-45677-3
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Olha Sushchenko, Yurii Bezkorovainyi, Nataliia Novytska
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.