Abstract
We propose a mathematical formalization and a method for solving the minimax open-loop terminal control problem for fuel consumption of a propulsion system in a carrier rocket. The initial nonlinear model of the control object is linearized along the reference trajectory and approximated by a linear discrete dynamic system. For the approximating system, we formulate the minimax open-loop terminal control problem, taking into account given geometric constraints on the control and disturbance vectors. We propose a new method and a numerical algorithm for solving the problem, which use a modification of the general recurrent algebraic method to construct generalized reachability sets for the linear discrete controlled system. We demonstrate the effectiveness of the proposed solution with computer simulation examples.
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This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00544.
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This paper was recommended for publication by P.S. Shcherbakov, a member of the Editorial Board
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Shorikov, A.F., Kalev, V.I. Solving the Minimax Open-Loop Control Problem for Carrier Rocket Fuel Consumption. Autom Remote Control 81, 258–268 (2020). https://doi.org/10.1134/S000511792002006X
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DOI: https://doi.org/10.1134/S000511792002006X