Path-following for optimal control of stationary variational inequalities

被引:0
|
作者
Karl Kunisch
Daniel Wachsmuth
机构
[1] Institute for Mathematics and Scientific Computing,Johann Radon Institute for Computational and Applied Mathematics (RICAM)
[2] Austrian Academy of Sciences,undefined
来源
Computational Optimization and Applications | 2012年 / 51卷
关键词
Variational inequalities; Optimal control; Regularization; Sensitivity equation; Path-following; Sufficient optimality conditions; Semi-smooth Newton method;
D O I
暂无
中图分类号
学科分类号
摘要
Moreau-Yosida based approximation techniques for optimal control of variational inequalities are investigated. Properties of the path generated by solutions to the regularized equations are analyzed. Combined with a semi-smooth Newton method for the regularized problems these lead to an efficient numerical technique.
引用
收藏
页码:1345 / 1373
页数:28
相关论文
共 50 条
  • [21] Optimal control of parabolic variational inequalities
    Ito, Kazufumi
    Kunisch, Karl
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2010, 93 (04): : 329 - 360
  • [22] Optimal control and approximation of variational inequalities
    Kamil, H
    Anna, J
    KYBERNETES, 2002, 31 (9-10) : 1401 - 1408
  • [23] Optimal control of elliptic variational inequalities
    Ito, K
    Kunisch, K
    APPLIED MATHEMATICS AND OPTIMIZATION, 2000, 41 (03): : 343 - 364
  • [24] Optimal Control of Stochastic Variational Inequalities
    Grecksch, Wilfried
    Khan, Akhtar A.
    Sama, Miguel
    Tammer, Christiane
    MINIMAX THEORY AND ITS APPLICATIONS, 2024, 9 (01): : 117 - 128
  • [25] Optimal Control of Elliptic Variational Inequalities
    K. Ito
    K. Kunisch
    Applied Mathematics and Optimization, 2000, 41 : 343 - 364
  • [26] Path-Following Model Predictive Control of Ballbots
    Jespersen, Thomas K.
    al Ahdab, Mohammad
    Mendez, Juan de Dios F.
    Damgaard, Malte R.
    Hansen, Karl D.
    Pedersen, Rasmus
    Bak, Thomas
    2020 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA), 2020, : 1498 - 1504
  • [27] Path-Following through Control Funnel Functions
    Ravanbakhsh, Hadi
    Aghli, Sina
    Heckman, Christoffer
    Sankaranarayanan, Sriram
    2018 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS), 2018, : 401 - 408
  • [28] Path-following control for a slung load system
    Al Lawati, Mohamed
    Lynch, Alan F.
    2023 IEEE/ASME INTERNATIONAL CONFERENCE ON ADVANCED INTELLIGENT MECHATRONICS, AIM, 2023, : 247 - 254
  • [29] Robust Nonlinear Path-Following Control of an AUV
    Lapierre, Lionel
    Jouvencel, Bruno
    IEEE JOURNAL OF OCEANIC ENGINEERING, 2008, 33 (02) : 89 - 102
  • [30] Nonlinear Model Predictive Path-Following Control
    Faulwasser, Timm
    Findeisen, Rolf
    NONLINEAR MODEL PREDICTIVE CONTROL: TOWARDS NEW CHALLENGING APPLICATIONS, 2009, 384 : 335 - 343