The Solution of an Optimal Control Problem for a Third-Order Equation in the Presence of Distributed and Starting Controls

2019 ◽  
Vol 51 (12) ◽  
pp. 56-66
Author(s):  
Mekhriban Mamed kyzy Yaqubova ◽  
Rukhiya Byulbyul kyzy B. Zamanova
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Order Equation ◽  
Third Order

NECESSARY OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEM WITH SECOND ORDER EQUATION

2018 ◽  
pp. 437-440
Author(s):  
Alexandr Mikhailovich Kotyukov ◽  
Mikhail Mikhailovich Kotyukov
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimality Conditions ◽  
Pontryagin Maximum Principle ◽  
Necessary Optimality Conditions ◽  
Order Equation ◽  
Second Order

An optimal control problem with second order equation is considered. For this problem Pontryagin maximum principle is obtained. Also non-triviality condition is proved.

REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Reduced Model ◽  
Iron Core ◽  
Power Sources ◽  
Real Power

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.

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