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Shock Isolation with Anticipating Control for External Disturbances of Various Shapes

  • Optimal Control
  • Published:
Journal of Computer and Systems Sciences International Aims and scope

Abstract

Limiting performance analysis is performed for isolation of an object on a movable base from short-duration impact excitations by means of an active shock isolator with anticipating control. The external disturbance (excitation) is modeled by the time history of the absolute acceleration of the base. The control is performed by a force that acts between the base and the object to be protected. The absolute value of the control force is subject to a constraint. A procedure is proposed for constructing optimal anticipating controls that minimize the peak magnitude of the displacement of the object relative to the base for external disturbances from a certain class. For a number of types of external disturbances, the solution of the optimal control problem is obtained in closed form. The controls that are constructed in closed form are modified to be applicable for the disturbances for which closedform solutions are absent.

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References

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

    Google Scholar 

  2. V. V. Guretskii, “On the problem of minimizing the maximum displacement,” Tr. Leningr. Politekh. Inst., Mekh. Protsessy Upr. 307, 11–21 (1969).

    MathSciNet  Google Scholar 

  3. E. Sevin and W. Pilkey, Optimum Shock and Vibration Isolation (Shock and Vibration Information Analysis Center, Washington, DC, 1971).

    Google Scholar 

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

    Google Scholar 

  5. N. N. Bolotnik, Optimization of Amortization 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).

    Google Scholar 

  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,” Nelineinaya Din. 11, 147–168 (2015).

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia

    N. N. Bolotnik & V. A. Korneev

Authors
  1. N. N. Bolotnik
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  2. V. A. Korneev
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Correspondence to N. N. Bolotnik.

Additional information

Original Russian Text © N.N. Bolotnik, V.A. Korneev, 2018, published in Izvestiya Akademii Nauk, Teoriya i Sistemy Upravleniya, 2018, No. 3, pp. 48–63.

The article was translated by the authors.

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Bolotnik, N.N., Korneev, V.A. Shock Isolation with Anticipating Control for External Disturbances of Various Shapes. J. Comput. Syst. Sci. Int. 57, 390–406 (2018). https://doi.org/10.1134/S106423071802003X

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  • DOI: https://doi.org/10.1134/S106423071802003X

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