Optimal actuator design based on shape calculus

被引：15
|
作者：
Kalise, Dante [1 ]
Kunisch, Karl [2 ,3 ]
Sturm, Kevin [4 ]
机构：
[1] Imperial Coll London, Dept Math, South Kensington Campus, London SW7 2AZ, England
[2] Johann Radon Inst Computat & Appl Math, Altenbergerstr 69, Linz, Austria
[3] Karl Franzens Univ Graz, Inst Anal & Sci Comp, Heinrichstr, A-368010 Graz, Austria
[4] Vienna Univ Technol, Inst Anal & Sci Comp, Hauptstr 8-10, A-1040 Vienna, Austria
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2018年 / 28卷 / 13期
基金：
欧盟地平线“2020”;
关键词：
Shape optimization; optimal feedback control; topological derivative; shape derivative; level-set method; OPTIMAL LOCATION; OPTIMIZATION; DIFFERENTIABILITY; CONTROLLERS; EQUATION; SYSTEMS;
D O I：
10.1142/S0218202518500586
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An approach to optimal actuator design based on shape and topology optimization 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.
引用
收藏
页码：2667 / 2717
页数：51
相关论文
共 50 条
  • [1] Optimal Actuator Design for the Euler-Bernoulli Vibration Model Based on LQR Performance and Shape Calculus
    Edalatzadeh, M. Sajjad
    Kalise, Dante
    Morris, Kirsten A.
    Sturm, Kevin
    IEEE CONTROL SYSTEMS LETTERS, 2022, 6 : 1334 - 1339
  • [2] Shape Memory Actuator Design Based on a Numerical Simulation
    Meier, H.
    Dilthey, S.
    ACTUATOR 08, CONFERENCE PROCEEDINGS, 2008, : 390 - 393
  • [3] Optimal actuator shape design with input and state constraints for a wafer heating application
    Veldman, D. W. M.
    Fey, R. H. B.
    Zwart, H. J.
    van de Wal, M. M. J.
    van den Boom, J. D. B. J.
    Nijmeijer, H.
    2019 AMERICAN CONTROL CONFERENCE (ACC), 2019, : 3789 - 3794
  • [4] Determination of design of optimal actuator location and configuration based on actuator power factor
    San Diego State Univ, San Diego, United States
    J Intell Mater Syst Struct, 4 (344-352):
  • [5] Airfoil design for compressible inviscid flow based on shape calculus
    Stephan Schmidt
    Caslav Ilic
    Volker Schulz
    Nicolas R. Gauger
    Optimization and Engineering, 2011, 12 : 349 - 369
  • [6] Airfoil design for compressible inviscid flow based on shape calculus
    Schmidt, Stephan
    Ilic, Caslav
    Schulz, Volker
    Gauger, Nicolas R.
    OPTIMIZATION AND ENGINEERING, 2011, 12 (03) : 349 - 369
  • [7] Design, characterization and construction of an actuator based on shape memory alloys
    Ingrith Yuritsa Paez-Pidiache
    Alberto Luviano-Juárez
    Norma Lozada-Castillo
    Eduardo Castillo-Castañeda
    Hiram Reyes-Torres
    MRS Advances, 2021, 6 : 907 - 912
  • [8] Design, characterization and construction of an actuator based on shape memory alloys
    Yuritsa Paez-Pidiache, Ingrith
    Luviano-Juarez, Alberto
    Lozada-Castillo, Norma
    Castillo-Castaneda, Eduardo
    Reyes-Torres, Hiram
    MRS ADVANCES, 2021, 6 (39-40) : 907 - 912
  • [9] A Design Approach for a Valve Based on a Magnetic Shape Memory Actuator
    Effner, Annabell
    Zawada, Tobias
    Weber, Juergen
    SHAPE MEMORY AND SUPERELASTICITY, 2020, 6 (01) : 107 - 114
  • [10] A Design Approach for a Valve Based on a Magnetic Shape Memory Actuator
    Annabell Effner
    Tobias Zawada
    Jürgen Weber
    Shape Memory and Superelasticity, 2020, 6 : 107 - 114
12345