Numerical analysis and optimal control of induction heating hardening

2010 ◽  
Author(s):  
Bogdan Gilev ◽  
Andrey Yonchev ◽  
Dimitar Penev ◽  
George Venkov ◽  
Vesela Pasheva ◽  
...  
Keyword(s):  
Optimal Control ◽  
Numerical Analysis ◽  
Induction Heating

Numerical analysis and thermographic investigation of induction heating

2010 ◽  
Vol 53 (17-18) ◽  
pp. 3585-3591 ◽  
Author(s):  
Matej Kranjc ◽  
Anze Zupanic ◽  
Damijan Miklavcic ◽  
Tomaz Jarm
Keyword(s):  
Numerical Analysis ◽  
Induction Heating ◽  
Thermographic Investigation

Power formulation for the optimal control of an industrial induction heating process for thixoforming

2004 ◽  
Vol 19 (1-4) ◽  
pp. 51-56 ◽  
Author(s):  
Alexandre Masserey ◽  
Jacques Rappaz ◽  
Roland Rozsnyo ◽  
Rachid Touzani
Keyword(s):  
Optimal Control ◽  
Induction Heating ◽  
Heating Process

Optimal Design of ADAS Damped MDOF Structures

1999 ◽  
Vol 15 (2) ◽  
pp. 317-330 ◽  
Author(s):  
Yuri Ribakov ◽  
Jacob Gluck
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Numerical Analysis ◽  
Optimal Control Theory ◽  
Passive Control ◽  
Design Method ◽  
Viscous Damping ◽  
Viscous Dampers ◽  
Structural Frame ◽  
Different Levels

Incorporated at various levels of a structural frame, ADAS devices may be used to improve the response of the structure during earthquakes. A design method of a passive control system for multistory structures using optimal Adding Damping And Stiffness (ADAS) dampers is presented. Optimal Control Theory (OCT) is commonly used to obtain the levels of viscous damping at each story. The optimization leads to different levels of damping at each story. Therefore, a solution with viscous dampers is inconvenient and can be expensive. The proposed method enables the use of relatively less expensive optimal ADAS devices dissipating energy which is equivalent to that of viscous dampers. The method is examined in a numerical analysis of a seven-story shear framed structure. Significant improvement was obtained in the behavior of the ADAS damped structure compared to the uncontrolled one.

NUMERICAL ANALYSIS OF A MINIMAX OPTIMAL CONTROL PROBLEM WITH AN ADDITIVE FINAL COST

2002 ◽  
Vol 12 (02) ◽  
pp. 183-203 ◽  
Author(s):  
LAURA S. ARAGONE ◽  
SILVIA C. DI MARCO ◽  
ROBERTO L. V. GONZÁLEZ
Keyword(s):  
Optimal Control ◽  
Numerical Analysis ◽  
Optimal Control Problem ◽  
Convergence Rate ◽  
Control Problem ◽  
Discrete Solution ◽  
Discrete Scheme ◽  
Fully Discrete ◽  
Minimax Optimal Control ◽  
Continuous Problem

In this paper we deal with the numerical analysis of an optimal control problem of minimax type with finite horizon and final cost. To get numerical approximations we devise here a fully discrete scheme which enables us to compute an approximated solution. We prove that the fully discrete solution converges to the solution of the continuous problem and we also give the order of the convergence rate. Finally we present some numerical results.

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