[HTML][HTML] A Gauss–Newton-based decomposition algorithm for nonlinear mixed-integer optimal control problems
For the fast approximate solution of Mixed-Integer Non-Linear Programs (MINLPs) arising in
the context of Mixed-Integer Optimal Control Problems (MIOCPs) a decomposition algorithm …
the context of Mixed-Integer Optimal Control Problems (MIOCPs) a decomposition algorithm …
On integer optimal control with total variation regularization on multidimensional domains
P Manns, A Schiemann - SIAM Journal on Control and Optimization, 2023 - SIAM
We consider optimal control problems with integer-valued controls and a total variation
regularization penalty in the objective on domains of dimension two or higher. The penalty …
regularization penalty in the objective on domains of dimension two or higher. The penalty …
Efficient solution of discrete subproblems arising in integer optimal control with total variation regularization
M Severitt, P Manns - INFORMS Journal on Computing, 2023 - pubsonline.informs.org
We consider a class of integer linear programs (IPs) that arise as discretizations of trust-
region subproblems of a trust-region algorithm for the solution of control problems, where …
region subproblems of a trust-region algorithm for the solution of control problems, where …
Switching cost aware rounding for relaxations of mixed-integer optimal control problems: The 2-D case
F Bestehorn, C Hansknecht, C Kirches… - IEEE Control Systems …, 2021 - ieeexplore.ieee.org
This article is concerned with a recently proposed switching cost aware rounding (SCARP)
strategy in the combinatorial integral approximation for mixed-integer optimal control …
strategy in the combinatorial integral approximation for mixed-integer optimal control …
On convergence of binary trust-region steepest descent
(CIA) are two recently investigated approaches for the solution of optimization problems with
distributed binary-/discrete-valued variables (control functions). We show improved …
distributed binary-/discrete-valued variables (control functions). We show improved …
Combinatorial integral approximation decompositions for mixed-integer optimal control
Solving mixed-integer nonlinear programs (MINLPs) is hard from both a theoretical and
practical perspective. Decomposing the nonlinear and the integer part is promising from a …
practical perspective. Decomposing the nonlinear and the integer part is promising from a …
A numerical study of transformed mixed-integer optimal control problems
Time transformation is a ubiquitous tool in theoretical sciences, especially in physics. It can
also be used to transform switched optimal control problems into control problems with a …
also be used to transform switched optimal control problems into control problems with a …