Abstract
We study the problem of bringing a linear chain of masses connected by springs to an equilibrium in finite time by means of a control force applied to the first mass. We describe explicitly the desired feedback control and establish its local equivalence to the minimum-time one. We prove the robustness of the control with respect to unknown disturbances and compute the time of transfer as well as its asymptotic estimate with respect to the length of the chain.
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This work was supported by the Russian Science Foundation, Grant 16-11-10343.
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Communicated by Zenon Mróz.
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Ovseevich, A., Ananievski, I. Robust Feedback Control for a Linear Chain of Oscillators. J Optim Theory Appl 188, 307–316 (2021). https://doi.org/10.1007/s10957-020-01765-z
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DOI: https://doi.org/10.1007/s10957-020-01765-z