Abstract
Computing of time-optimal inertial control reduces to solving three problems: (1) computing of optimal control under the assumption that the control is without inertia; (2) finding the optimal switching time of the control; (3) calculating of the error induced by the time lag of the control followed by correcting the control time and switching instants. Characteristics of the problems are considered and methods of their solution are given. A way of assignment of the initial approximation is presented. A computational algorithm, results of modeling, and numerical computations are performed.
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Original Russian Text © V.M. Aleksandrov, 2015, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2015, Vol. 18, No. 1, pp. 1–13.
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Aleksandrov, V.M. Computing of optimal inertial control of a linear system. Numer. Analys. Appl. 8, 1–12 (2015). https://doi.org/10.1134/S1995423915010012
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DOI: https://doi.org/10.1134/S1995423915010012