 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.A. Korneev, "Protection of an Object on a Moving Base by means of Constant Control for the Case of Bounded Disturbances," Mech. Solids. 57 (4), 723-739 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
4 |
Pages |
723-739 |
| DOI |
10.3103/S0025654422040100 |
| Title |
Protection of an Object on a Moving Base by means of Constant Control for the Case of Bounded Disturbances |
| Author(s) |
V.A. Korneev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, korneev@ipmnet.ru) |
| 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 to is considered. The impact disturbance applied to the base is assumed to be unknown in advance and is charaterized 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 instant 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. |
| Keywords |
shock isolation, optimal control, guaranteeing anticipating control, delay, worst-case disturbances |
| Received |
30 March 2021 | Revised |
11 May 2021 | Accepted |
06 September 2021 |
| Link to Fulltext |
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