Optimal actuator design for the Euler-Bernoulli vibration model based on LQR performance and shape calculus
File(s)
Accepted version
Author(s)
Edalatzadeh, M Sajjad
Kalise, Dante
Morris, Kirsten A
Sturm, Kevin
Type
Journal Article
Abstract
A method for optimal actuator design in vibration control is presented. The optimal actuator, parametrized as a characteristic function, is found by means of the topological derivative of the LQR cost. An abstract framework is proposed based on the theory for infinite-dimensional optimization of both the actuator shape and the associated control problem. A numerical realization of the optimality condition is developed for the actuator shape using a level-set method for topological derivatives. A numerical example illustrating the design of actuator for Euler-Bernoulli beam model is provided.
Date Issued
2021-06-29
Date Acceptance
2021-06-11
Citation
IEEE Control Systems Letters, 2021, 6, pp.1334-1339
ISSN
2475-1456
Publisher
Institute of Electrical and Electronics Engineers
Start Page
1334
End Page
1339
Journal / Book Title
IEEE Control Systems Letters
Volume
6
Copyright Statement
© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Identifier
https://ieeexplore.ieee.org/document/9467048
Publication Status
Published
Date Publish Online
2021-06-29