Convex optimal control problem involving a class of linear hyperbolic systems with constraints

1988 ◽  
Vol 19 (1) ◽  
pp. 179-194
Author(s):  
Z. S. WU ◽  
K. L. TEO
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Hyperbolic Systems

scholarly journals On an optimal control problem involving second order hyperbolic systems with boundary controls

1983 ◽  
Vol 27 (1) ◽  
pp. 139-148 ◽  
Author(s):  
K.G. Choo ◽  
K.L. Teo ◽  
Z.S. Wu
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Hyperbolic Systems ◽  
Sufficient Conditions ◽  
Second Order ◽  
Optimal Controls ◽  
Convergence Properties ◽  
Boundary Controls ◽  
Necessary And Sufficient

In this paper, we consider an optimal control problem involving second-order hyperbolic systems with boundary controls. Necessary and sufficient conditions are derived and a result on the existence of optimal controls is obtained. Also, a computational algorithm which generated minimizing sequences of controls is devised and the convergence properties of the algorithm are investigated.

scholarly journals Optimal control problem for infinite variables hyperbolic systems with time lags

2011 ◽  
Vol 21 (4) ◽  
pp. 373-393 ◽  
Author(s):  
Gaber Bahaa ◽  
Mohamed Tharwat
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Boundary Conditions ◽  
Control Problem ◽  
Optimality Conditions ◽  
Hyperbolic Systems ◽  
Neumann Boundary ◽  
Time Lags ◽  
State Equations ◽  
Distributed Control Problem

Optimal control problem for infinite variables hyperbolic systems with time lagsIn this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (nxn)-infinite variables hyperbolic systems.

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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