Skip to main content
SpringerLink
Log in

Protection of an Object on a Movable Base Using Anticipating Control under the Worst Disturbances

  • OPTIMAL CONTROL
  • Published:
Journal of Computer and Systems Sciences International Aims and scope

Abstract

The problem of constructing a guaranteeing anticipating control for a shock isolator that protects an object on a movable base from impacts acting on this base is considered. It is assumed that the shape of the impact is not known but its duration is given and the base acceleration is described by a sign definite function of time the integral of which over time is also given. The anticipating control acts between the base and the object to be protected, it has one switching, is bounded, and the absolute acceleration of the base may exceed this bound only on one time interval. The performance index to be minimized is the peak displacement of the object relative to the base for various disturbances from the class of impacts under consideration. Optimal and near-optimal solutions are obtained. These solutions are compared with each other and with the solutions obtained based on the controls designed in previous studies.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. V. V. Guretskii, “On a problem of optimal control,” Izv. Akad. Nauk SSSR, Mekh., No. 1, 159–162 (1965).

  2. V. V. Guretskii, “On the problem of minimizing the maximum displacement,” Tr. LPI, Mekh. Protsessy Upravl., No. 307, 11–21 (1969).

  3. E. Sevin and W. Pilkey, Optimum Shock and Vibration Isolation (Shock Vibrat. Inform. Anal. Center, Washington, DC, 1971).

  4. M. Z. Kolovskii, Automatic Control of Vibration Protection Systems (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  5. N. N. Bolotnik, Optimization of Shock and Vibration Isolation Systems (Nauka, Moscow, 1983) [in Russian].

    Google Scholar 

  6. D. V. Balandin, N. N. Bolotnik, and W. D. Pilkey, Optimal Protection from Impact, Shock, and Vibration (Gordon and Breach Science, Amsterdam, 2001).

  7. W. D. Pilkey, D. V. Balandin, N. N. Bolotnik, J. R. Crandal, and S. V. Purtsezov, Injury Biomechanics and Control: Optimal Protection from Impact (Wiley, Hoboken, NJ, 2010).

    Google Scholar 

  8. N. N. Bolotnik and V. A. Korneev, “Limiting performance analysis of shock isolation for transient external disturbances,” Nelin. Dinam. 11 (1), 147–168 (2015).

    Article  MATH  Google Scholar 

  9. N. N. Bolotnik and V. A. Korneev, “Shock isolation with anticipating control for external disturbances of various shapes,” J. Comput. Syst. Sci. Int. 57, No. 3, 390–406 (2018).

    Article  MathSciNet  MATH  Google Scholar 

Download references

ACKNOWLEDGMENTS

This work was accomplished within the state project no. АААА-А17-117021310387-0 and was partially supported by the Russian Foundation for Basic Research, project nos. 17-01-00538-а and 17-08-00742-а.

Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    V. A. Korneev

Authors
  1. V. A. Korneev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Korneev.

Additional information

Translated by A. Klimontovich

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Korneev, V.A. Protection of an Object on a Movable Base Using Anticipating Control under the Worst Disturbances. J. Comput. Syst. Sci. Int. 58, 86–94 (2019). https://doi.org/10.1134/S1064230719010106

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064230719010106

Search

Navigation