A new approach to the solution of the l/sub 1/ control problem: the scaled-Q method

2000 ◽  
Vol 45 (2) ◽  
pp. 180-187 ◽  
Author(s):  
M. Khammash
Keyword(s):  
Control Problem ◽  
Q Method ◽  
New Approach

A Distributed Control Approach for the Boundary Optimal Control of the Steady MHD Equations

2013 ◽  
Vol 14 (3) ◽  
pp. 722-752 ◽  
Author(s):  
G. Bornia ◽  
M. Gunzburger ◽  
S. Manservisi
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Distributed Control ◽  
Boundary Control ◽  
Optimal Solution ◽  
Mhd Equations ◽  
New Approach ◽  
Control Approach ◽  
Distributed Control Problem ◽  
Boundary Controls

AbstractA new approach is presented for the boundary optimal control of the MHD equations in which the boundary control problem is transformed into an extended distributed control problem. This can be achieved by considering boundary controls in the form of lifting functions which extend from the boundary into the interior. The optimal solution is then sought by exploring all possible extended functions. This approach gives robustness to the boundary control algorithm which can be solved by standard distributed control techniques over the interior of the domain.

scholarly journals Transformation preserving controllability for nonlinear optimal control problems with joint boundary conditions

2021 ◽  
Author(s):  
Roman Simon Hilscher ◽  
Vera M. Zeidan
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimal Control Problems ◽  
Eigenvalue Problems ◽  
Nonlinear Optimal Control ◽  
Control Problems ◽  
New Approach ◽  
Sturm Liouville ◽  
Nonlinear Optimal Control Problem

In this paper we develop a new approach for optimal control problems with general jointly varying state endpoints (also called coupled endpoints). We present a new transformation of a nonlinear optimal control problem with jointly varying state endpoints and pointwise equality control constraints into an equivalent optimal control problem of the same type but with separately varying state endpoints in double dimension. Our new transformation preserves among other properties the controllability (normality) of the considered optimal control problems. At the same time it is well suited even for the calculus of variations problems with joint state endpoints, as well as for optimal control problems with free initial and/or final time. This work is motivated by the results on the second order Sturm-Liouville eigenvalue problems with joint endpoints by Dwyer and Zettl (1994) and by the sensitivity result for nonlinear optimal control problems with separated state endpoints by the authors (2018). p, li { white-space: pre-wrap;

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