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Use of Constant Anticipating and Delayed Control in Shock Isolation Problem Applied to an Object on a Movable Base

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Abstract

The present article deals with the problem on constructing a guaranteeing time of a given control beginning for a shock isolator protecting an object on a movable base from impacts acting on this base. The initial moment of control action can either be ahead (anticipation) or lag behind (delay) the moment of the disturbance beginning. It is assumed that the shock shape is unknown, but its duration is given and the acceleration of the base is described by an constant-sign function of time with a given integral. As a control force bounded in magnitude that acts between the base and an object to be protected, we set the constant control of a given duration that has been previosly obtained for an instantaneous shock (impact) for a problem without anticipation. The performance index to be minimized is the maximum displacement of the object relative to the base. Based on the value of the performance index, a comparison of the proposed optimization at the moment of the control beginning with other control methods, in particular, with the optimal solution with a single switching is performed.

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Funding

This study was accomplished within the state project АААА-А20-120011690138-6 .

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Authors and Affiliations

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

    V. A. Korneev

Authors
  1. V. A. Korneev
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Correspondence to V. A. Korneev.

Additional information

Translated by A.A. Borimova

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Korneev, V.A. Use of Constant Anticipating and Delayed Control in Shock Isolation Problem Applied to an Object on a Movable Base. Mech. Solids 55, 277–287 (2020). https://doi.org/10.3103/S0025654420020120

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  • DOI: https://doi.org/10.3103/S0025654420020120

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