Optimal actuator design based on shape calculus
Optimization and Control
2024-03-06 v2 Numerical Analysis
Numerical Analysis
Abstract
An approach to optimal actuator design based on shape and topology optimisation techniques is presented. For linear diffusion equations, two scenarios are considered. For the first one, best actuators are determined depending on a given initial condition. In the second scenario, optimal actuators are determined based on all initial conditions not exceeding a chosen norm. Shape and topological sensitivities of these cost functionals are determined. A numerical algorithm for optimal actuator design based on the sensitivities and a level-set method is presented. Numerical results support the proposed methodology.
Cite
@article{arxiv.1711.01183,
title = {Optimal actuator design based on shape calculus},
author = {Dante Kalise and Karl Kunisch and Kevin Sturm},
journal= {arXiv preprint arXiv:1711.01183},
year = {2024}
}
Comments
44 pages, differs from previous version as proof of Theorem 4.2 has been fixed