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Applied Physics and Mathematics

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Classical Lagrange problem-based sy nthesis of а program-corrected control st rate gy for a non-linear dy namic syste m
I.I. Bugaets I.V. Nekrasov

This article deals with one of the modern approaches of optimal
control – building a synthesis function that realizes а programcorrected
control strategy. When creating such control strategies
authors traditionally apply discrete algorithms based on
mathematical programming methods. This leads to the fact that
classical methods of optimal control are ignored in spite of the
obvious advantages they possess: high degree of stability and
low computational complexity. The paper suggests a combined
approach of optimal control actions synthesis: this approach
uses the same program-corrected control strategy principles
but bases the synthesis function on a classical Lagrange problem
solution. As a result the new optimal control algorithm is
created that incorporates the advantages of both mentioned
approaches.
Keywords: program-corrected control strategy, synthesis function,
flexible phase path, optimal control, non-linear system, Lagrange
problem, control accuracy.

Contacts: E-mail: bugaets_@mail.ru

Pp. 66-73.

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