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Protection of an Object on a Moving Base by means of Constant Control for the Case of Bounded Disturbances

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Abstract

The problem of constructing a guaranteeing control of a shock isolator that protects an object on a movable base from impact disturbances to which the base is subjected is considered. The impact disturbance applied to the base is assumed to be unknown in advance and is characterized by its acceleration, limited by a constant-sign function of time of a given duration, the integral of which with respect to time is given. The control force acts between the base and the protected object, is bounded in magnitude, and the absolute acceleration of the base can exceed the maximum allowable value of the absolute acceleration of the object only on one time interval. The performance criterion to be minimized is the maximum displacement of the object relative to the base. As a magnitude limited control acting between the base and the protected object, a constant control of a given duration was taken, which is optimal for an instantaneous impact in a problem without anticipation. The optimal moment of the start of the action of this control is obtained. Comparative estimates are given for the value of the performance index of the proposed control with other methods of control.

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Funding

The present work was supported by the Ministry of Science and Higher Education within the framework of the Russian State Assignment under contract no. АААА-А20-120011690138-6.

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics RAS, 119526, Moscow, Russia

    V. A. Korneev

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

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Translated by M.K. Katuev

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Korneev, V.A. Protection of an Object on a Moving Base by means of Constant Control for the Case of Bounded Disturbances. Mech. Solids 57, 723–739 (2022). https://doi.org/10.3103/S0025654422040100

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  • DOI: https://doi.org/10.3103/S0025654422040100

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