A. F. Shorikov, V. I. Kalev, “Solving the minimax open-loop control problem for carrier rocket fuel consumption”, Avtomat. i Telemekh., 2020, Issue 2,Pages <nobr>76

This article is cited in 1 paper

Nonlinear Systems

Solving the minimax open-loop control problem for carrier rocket fuel consumption

A. F. Shorikov^a, V. I. Kalev^b

^a Ural Federal University, Yekaterinburg, Russia
^b NPO Avtomatika JSC, Yekaterinburg, Russia

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.

Keywords: adaptive control, minimax result, guaranteed control, robust control, fuel management, propulsion, carrier rocket.

Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 07.04.2019
Revised: 10.07.2019
Accepted: 18.07.2019

DOI: 10.31857/S0005231020020063