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Solving the Minimax Open-Loop Control Problem for Carrier Rocket Fuel Consumption

  • Nonlinear Systems
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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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Acknowledgments

This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00544.

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Authors and Affiliations

  1. Ural Federal University, Yekaterinburg, Russia

    A. F. Shorikov

  2. NPO Avtomatika JSC, Yekaterinburg, Russia

    V. I. Kalev

Authors
  1. A. F. Shorikov
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  2. V. I. Kalev
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Corresponding authors

Correspondence to A. F. Shorikov or V. I. Kalev.

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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

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