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April 28, 2026
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Suboptimal Control of Nonlinear Object:Problem of Keeping Tabs on Reference Trajectory

P. 1505–1509.
Afanasiev V.

An optimal control problem is formulated for a class of nonlinear systems which can be presented by system with linear structure and state-depended coefficients (SDC). The system being under the influence of uncontrollable disturbance is supposed. The linearity of the transformed system structure and the quadratic functional make it possible to pass over from the Hamilton–Jacoby–Bellman equation (HJB) to the state dependent Riccati equation (SDRE) upon the control synthesis. In thus paper the optimal control problem by nonlinear system in a task of Keeping Tabs on Reference Trajectory we decide in a key of differential game. The presented example illustrates the application of the proposed control method.

Language: English
Full text
Keywords: нелинейные системыдифференциальные игрыуравнение Риккати с параметрами, зависящими от состоянияоптимальное управлениеoptimal control

In book

Preprints of the IFAC Conference on Manufacturing Modelling, Management, and Control MIM ‘2013 June 19 to 21, 2013, Saint Petersburg, Russia
St. Petersburg: -, 2013.
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