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On a Deterministic Terminal Control Method with Predictive Forecasting of Mismatches in the Boundary Conditions

  • NONLINEAR SYSTEMS
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Abstract

We consider the statement of a terminal control problem that partitions system state coordinates into two types: slowly varying coordinates, which occur in the boundary conditions, and control loop coordinates. We present a generalization of the theorem on the derivative of the mismatches in the boundary conditions. The system is discretized by using this generalization. A criterion for the resulting discrete system to be reducible to a linear system by a change of the control is proved. This result is used to synthesize a model predictive controller for the system. The algorithm has been numerically simulated for the problem of putting the center of mass of a rocket stage into a desired orbit in vacuum.

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Funding

This work was financially supported by the Russian Foundation for Basic Research, project no. 20-08-00073 A.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    V. P. Ivanov & D. D. Tabalin

Authors
  1. V. P. Ivanov
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  2. D. D. Tabalin
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Correspondence to V. P. Ivanov or D. D. Tabalin.

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Translated by V. Potapchouck

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Ivanov, V.P., Tabalin, D.D. On a Deterministic Terminal Control Method with Predictive Forecasting of Mismatches in the Boundary Conditions. Autom Remote Control 83, 62–77 (2022). https://doi.org/10.1134/S0005117922010052

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  • DOI: https://doi.org/10.1134/S0005117922010052

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