Geodesic
A method for constructing multiply closed strategies in the problem of minimizing the total control impulse in a linear system with disturbance
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 3, pp. 122-138 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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 Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 30 (2024) no. 3, pp. 122-138. http://geodesic.mathdoc.fr/item/TIMM_2024_30_3_a9/

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