OPTIMAL SYNTHESIS FOR DYNAMIC SYSTEMS WITH DELAY IN CONTROL

Dmitry Muzyka, Peshcherov Ruslan O, Tertychny-Dauri Vladimir Yu.

2012 , VOLUME 12, NUMBER 5 ( September-October )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Nikiforov
Vladimir O.
D.Sc., Prof.

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OPTIMAL SYNTHESIS FOR DYNAMIC SYSTEMS WITH DELAY IN CONTROL

D. Muzyka, R. O. Peshcherov, V. Y. Tertychny-Dauri

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Abstract

The problem of the optimal control law formation for nonlinear dynamic systems with time delay in control channel is considered. Necessary optimality condition (Bellman equation) is proved for systems with delay in control channel in accordance with the principle of optimality. Conclusions are supported by numerical simulation in the optimal stabilization task of solid body rotation.

Keywords: delay in the control, optimal control, principle of optimality, Bellman optimization

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