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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 8, Pages 1393–1407 (Mi zvmmf4919)

A method for solving a boundary value problem for a nonlinear control system with incomplete information

A. N. Kvitko

St. Petersburg State University, Universitetskii pr. 35, St. Peterburg, 198054 Russia

Abstract: An easy-to-implement numerical method is proposed for synthesizing a feedback control function that transfers a wide class of nonlinear stationary systems from an initial state to a given terminal state with allowance for measured data. A constructive criterion is obtained for choosing terminal states for which this transfer is guaranteed. The problem of an interorbital flight is considered and numerically simulated.

Key words: nonlinear control system, synthesis of feedback control functions, numerical implementation of synthesis, asymptotic observer.

UDC: 519.626.2

Received: 03.04.2009
Revised: 19.02.2010


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:8, 1324–1337

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© Steklov Math. Inst. of RAS, 2026