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IssuesArchive of Issues2021-8pp.1622-1637

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O.R. Kayumov, "Time-Optimal Movement of Platform with Oscillators," Mech. Solids. 56 (8), 1622-1637 (2021)
Year 2021 Volume 56 Number 8 Pages 1622-1637
DOI 10.3103/S0025654421080094
Title Time-Optimal Movement of Platform with Oscillators
Author(s) O.R. Kayumov (Branch of Omsk State Pedagogical University, Tara, Omsk oblast, 646535 Russia, Oleg_Kayumov@mail.ru)
Abstract A system is considered that includes a rigid body moving along a horizontal straight line and carrying several linear oscillators. The only control action is an external limited force applied to the supporting body; there is no friction. The problem is solved for the time-optimal movement of the system to the required distance from a given equilibrium position to another similar state with oscillation damping. A control structure is proposed that satisfies the necessary conditions for optimality. The case of a platform with two oscillators is considered in detail, and the results of numerical experiments are presented.
Keywords optimal control, time-optimal movement, platform with oscillators
Received 04 October 2020Revised 03 April 2021Accepted 27 August 2021
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