Numerical methods for a generalized optimal control problem

2005 ◽  
pp. 370-379
Author(s):  
Claudia Lidia Simionescu
Keyword(s):  
Optimal Control ◽  
Numerical Methods ◽  
Optimal Control Problem ◽  
Control Problem

scholarly journals Numerical Methods for Solving Optimal Control Problem Using Scaling Boubaker Function

2020 ◽  
Vol 25 (2) ◽  
pp. 78-89 ◽  
Author(s):  
Eman Hassan Ouda Alfrdji ◽  
Imad Noah Ahmed
Keyword(s):  
Optimal Control ◽  
Numerical Methods ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Approximation Method ◽  
Numerical Examples ◽  
Control Parameterization ◽  
Matlab Program ◽  
And Control

      In this paper, the approximation method was used for solving optimal control problem (OCP), two techniques for state parameterization and control parameterization have been considered with the aid of Scaling Polynomials (SBP) represent a new important technique for solving (OCP’s). The algorithms were illustrated by several numerical examples using Matlab program. The results were evaluated and graphed to show the accuracy  of the methods.

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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