Skip to main content

Algorithms for Design of Robust Stabilization Systems

  • Conference paper
  • First Online:
Computational Science and Its Applications – ICCSA 2022 (ICCSA 2022)

Abstract

Accuracy of measuring and observation processes depends greatly on the stabilization of the appropriate equipment located on moving vehicles. We propose to design stabilization systems based on robust control that can ensure the required accuracy in difficult conditions of real operation. The main issue of the research is the development of numerical algorithms for designing robust stabilization systems assigned for control of inertial platforms motion. The analysis of applications and classification of inertially stabilized platforms is given. The block diagram of the algorithm of the robust parametrical optimization is represented. Features of this numerical algorithm are discussed including forming the optimization criterion and implementation of the optimization procedure. The block diagram of the robust structural synthesis is represented. Features of forming the function of mixed sensitivity are given. Results of simulation for the inertially stabilized platforms assigned for the operation of the ground moving vehicles are shown.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Hilkert, J.M.: Inertially stabilized platform technology. IEEE Control Syst. Mag. 28(1), 26–46 (2008)

    Article  MathSciNet  Google Scholar 

  2. Masten, M.K.: Inertially stabilized platforms technology. IEEE Control Syst. Mag. 28(1), 47–64 (2008)

    Article  MathSciNet  Google Scholar 

  3. Wang, H.G.: Strategic inertial navigation systems. IEEE Control Syst. Mag. 28(1), 65–85 (2008)

    Article  MathSciNet  Google Scholar 

  4. Debruin, D.: Control systems for mobile SATCOM antennas. IEEE Control Syst. Mag. 28(1), 86–101 (2008)

    Article  MathSciNet  Google Scholar 

  5. Haggart, G., Nandikolla, V.K., Jia, R.: Modeling of an inertially stabilized camera sysyem using gimbalplatform. In: ASME 2016 International Mechanical Engineering Congress and Exposition, November 11–17, 2016, Phoenix, Arizona, USA, paper No: IMECE2016–65343, V04ATo5A047, p. 7 (2016)

    Google Scholar 

  6. Sushchenko, O.A.: Robust control of angular motion of platform with payload based on H-synthesis. J. Autom. Inf. Sci. 48(12), 13–26 (2016)

    Article  Google Scholar 

  7. Kuznetsov, B.I., Nikitina, T.B., Bovdui, I.V.: Structural-parametric synthesis of rolling mills multi-motor electric drives. Electr. Eng. Electromech. (5), 25–30 (2020). https://doi.org/10.20998/2074-272X.2020.5.04

  8. Ostroumov, I.V., Kuzmenko, N.S.: Risk analysis of positioning by navigational aids. In: Signal Processing Symposium: SPSympo-2019, International Conference of IEEE, pp. 92–95, September 2019

    Google Scholar 

  9. Sushchenko, O.A., et al.: Design of robust control system for inertially stabilized platforms of ground vehicles. In: EUROCON 2021 - 19th IEEE International Conference on Smart Technologies, Proceedings, pp. 6–10 (2021)

    Google Scholar 

  10. Li, S., Zhong, M., Qin, J.: The internal mode control design of three-axis inertially stabilized platform for airborne remote sensing. In: Proceeding 2012 8th IEEE International Symposium on Instrumentation and Control Technology, London UK, 11–13 July 2012

    Google Scholar 

  11. Sushchenko, O.A., Tunik, A.A.: Optimization of inertially stabilized platforms. In: Proceeding IEEE 2nd International Conference on Methods and Systems of Navigation and Motion Control, Kyiv, Ukraine, pp. 101–105, 9–12 October 2012

    Google Scholar 

  12. Hurak, Z., Rezac, M.: Image-based pointing and tracking for inertially stabilized airborne camera. IEEE Trans. Control Syst. Technol. 20(5), 1146–1159 (2012)

    Google Scholar 

  13. Lemos, N.A.: Analytical Mechanics. Cambridge University Press, London, p. 470 (2019)

    Google Scholar 

  14. Bezkorovainyi, Y.N., Sushchenko, O.A.: Improvement of UAV positioning by information of inertial sensors. In: Proceeding 2018 IEEE 5th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC), October 16–19, Kiev, Ukraine, pp. 123–126 (2018)

    Google Scholar 

  15. Chikovani, V., Sushchenko, O., Tsiruk, H.: Redundant information processing techniques comparison for differential vibratory gyroscope. Eastern-Eur. J. Enterprise Technol. 4(7–82), 45–52 (2016)

    Google Scholar 

  16. Sushchenko, O.A., Bezkorovainyi, Y.M., Golytsin, V.O.: Processing of redundant information in airborne electronic systems by means of neural networks. In: Proceeding 2019 IEEE 39th International Conference on Electronics and Nanotechnology, ELNANO-2019, Kyiv, Ukraine, pp. 652–655, 16–18 April 2019

    Google Scholar 

  17. Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control, p. 572. Jonh Wiley and Sons, New York (2001)

    MATH  Google Scholar 

  18. Chapellat, H., Dahlen, M., Bhattacharyya, S.P.: Robust stability under structured and unstructured perturbations. IEEE Trans. Autom. Control, 35(10), 1100–1107 (1990)

    Google Scholar 

  19. Liu, K.Z., Yao, Y.: Robust Control, p. 500. Wiley, Theory and Applications, London (2016)

    Book  Google Scholar 

  20. Tunik, A.A., Rye, H., Lee, H.C.: Parametric optimization procedure for robust flight control system design. KSAS Int. J. 2(2), 95–107 (2001)

    Google Scholar 

  21. Buontempo, F.: Genetic algorithms and machine learning for programmers, p. 234 (2019)

    Google Scholar 

  22. Schutter, B.: Minimal state-space realization in linear system theory: an overview 121(1–2), 331–354 (2000)

    Google Scholar 

  23. Garcia-Sanz, M.: Robust Control Engineering, CRC Press, p. 578 (2017)

    Google Scholar 

  24. Gu, D., Petkov, P., Konstantinov, M.: Robust Control Design with MATLAB, p. 389p. Springer-Verlag, London (2005)

    Google Scholar 

  25. Balas, G., Chiang, R., Packard, A., Safononv, M.: Robust Control Toolbox User’s Guide, The Math Works Inc. 2005–2008

    Google Scholar 

  26. Fortuna, L., Frasca, M.: Optimal and Robust Control: Advanced Topics with MATLAB (2012)

    Google Scholar 

  27. Lavretsky, E., Wise, K.A.: Robust and Adaptive Control with Aerospace Applications, Springer (2012)

    Google Scholar 

  28. Sushchenko, O.A.: Synthesis of two-degree-of-freedom system for stabilization of information-measuring devices on moving base. In: Proceedings of IEEE 3rd International Conference on Methods and Systems of Navigation and Motion Control, MSNMC 2014, Kyiv, Ukraine, pp. 150–154, 14–17 October 2014

    Google Scholar 

  29. Kuznetsov, B.I., Nikitina, T.B., Bovdui, I.V.: “Multiobjective synthesis of two degree of freedom nonlinear robust control by discrete continuous plant”, Tekhnichna elektrodynamika. Inst. Electrodyn. Natl. Acad. Sci. Ukraine 5, 10–14 (2020)

    Google Scholar 

  30. Ostroumov, I., Kuzmenko, N.: Risk assessment of mid-air collision based on positioning performance by navigational aids. In: 2020 IEEE 6th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC), KYIV, Ukraine, pp. 34–37 (2020)

    Google Scholar 

  31. Li, T., Zhang, B., Zheng, B.: Robust control with engineering applications. Math. Problems Eng. ID567672 (2014)

    Google Scholar 

  32. Zhang, Y., Yang, T., Li, C., Liu, S., Du, C., Li, M.: Fuzzy-PID control for the position loop of aerial inertially stabilized platform. Aerospace Sci. Technol. 36, 21–26 (2014)

    Google Scholar 

  33. Ostroumov, I., et al.: Ukrainian navigational aids network configuration estimation. In: 16th International Conference on the Experience of Designing and Application of CAD Systems (CADSM), Lviv, Ukraine, pp. 5–9 (2021). https://doi.org/10.1109/CADSM52681.2021.9385226

  34. Votrubec, R.: Stabilization of platform using gyroscope. Procedia Eng. 69, 410–414 (2014)

    Article  Google Scholar 

  35. Lange, J.: Platform stabilization: an autoethnographic exploration of the multiple relations and role of data behind the interface of online tutoring software. Critical Stud. Educ. 62(1), 82–96 (2021)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Olha Sushchenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sushchenko, O. et al. (2022). Algorithms for Design of Robust Stabilization Systems. In: Gervasi, O., Murgante, B., Hendrix, E.M.T., Taniar, D., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2022. ICCSA 2022. Lecture Notes in Computer Science, vol 13375. Springer, Cham. https://doi.org/10.1007/978-3-031-10522-7_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-10522-7_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-10521-0

  • Online ISBN: 978-3-031-10522-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics