Multiple solutions to the l/sup 1/-optimal control problem and its dual linear programming problem

1999 ◽  
Vol 44 (5) ◽  
pp. 1089-1093
Author(s):  
M.E. Alpay ◽  
M.H. Shor
Keyword(s):  
Optimal Control ◽  
Linear Programming ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Multiple Solutions

scholarly journals Adaptive Method for Solving Optimal Control Problem with State and Control Variables

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Louadj Kahina ◽  
Aidene Mohamed
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Optimal Control ◽  
Linear Programming ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Adaptive Method ◽  
Control Variables ◽  
The Right ◽  
And Control

The problem of optimal control with state and control variables is studied. The variables are: a scalar vectorxand the controlu(t); these variables are bonded, that is, the right-hand side of the ordinary differential equation contains both state and control variables in a mixed form. For solution of this problem, we used adaptive method and technology of linear programming.

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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