Abstract:
This paper deals with an optimal control problem for a linear discrete-time system subject to unknown bounded disturbance. It is required to steer the system robustly to a terminal set with the smallest total impulse of the control function. A problem of constructing an optimal multiply closed control strategy is formulated. It is assumed that the system states are measured and the control is corrected at some future times. A method for calculating an optimal strategy based on reducing the formulated problems to linear programs is proposed.
Keywords:
linear system, disturbances, robust optimal control, control strategy, algorithm.
Citation:
N. M. Dmitruk, “A method for constructing multiply closed strategies in the problem of minimizing the total control impulse in a linear system with disturbance”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 3, 2024, 122–138
\Bibitem{Dmi24}
\by N.~M.~Dmitruk
\paper A method for constructing multiply closed strategies in the problem of minimizing the total control impulse in a linear system with disturbance
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2024
\vol 30
\issue 3
\pages 122--138
\mathnet{http://mi.mathnet.ru/timm2109}
\crossref{https://doi.org/10.21538/0134-4889-2024-30-3-122-138}
\elib{https://elibrary.ru/item.asp?id=69053413}
\edn{https://elibrary.ru/lxyidh}
Citation in format AMSBIB
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