Adaptive suboptimal control problem and its variational solution
https://doi.org/10.17586/2226-1494-2024-24-2-198-207
Abstract
A suboptimal cross-border problem is considered about nonlinear dynamic controlled systems under deterministic, uniformly bounded external unknown disturbances. The problem is solved by applying the methods of classical variations calculus for the case when the time interval of adaptation and optimization is not set in advance. The necessary conditions for the choice of extreme motion are determined due to the proper formation of a closed suboptimal adaptive control system. The theoretical analysis is supplemented with computer calculations using a specific model example, which showed effectiveness of the considered approach. The proposed scheme of suboptimal adaptive synthesis can be used in the calculations and design of nonlinear controlled dynamic systems.
About the Authors
A. V. Blazhenov
ITMO University
Russian Federation
Russian Federation
Alexey V. Blazhenov — PhD (Physics & Mathematics), Associate Professor
Saint Petersburg, 197101
A. A. Vedyakov
ITMO University
Russian Federation
Russian Federation
Alexey A. Vedyakov — PhD, Associate Professor, Associate Professor
Saint Petersburg, 197101
sc 49664023200
E. V. Milovanovich
ITMO University
Russian Federation
Russian Federation
Ekaterina V. Milovanovich — PhD, Associate Professor, Associate Professor
Saint Petersburg, 197101
sc 57193453414
O. V. Slita
ITMO University
Russian Federation
Russian Federation
Olga V. Slita — PhD, Associate Professor, Associate Professor
Saint Petersburg, 197101
sc 16242570700
V. Yu. Tertychny-Dauri
ITMO University
Russian Federation
Russian Federation
Vladimir Yu. Tertychny-Dauri — D.Sc. (Physics & Mathematics), Professor, Associate Professor
Saint Petersburg, 197101
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Review
For citations:
Blazhenov A.V., Vedyakov A.A., Milovanovich E.V., Slita O.V., Tertychny-Dauri V.Yu. Adaptive suboptimal control problem and its variational solution. Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 2024;24(2):198-207. (In Russ.) https://doi.org/10.17586/2226-1494-2024-24-2-198-207
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