Distributionally robust stochastic optimal control

被引:0
|
作者
Shapiro, Alexander [1 ]
Li, Yan [2 ]
机构
[1] Georgia Inst Technol, Atlanta, GA 30332 USA
[2] Texas A&M Univ, College Stn, TX 77843 USA
关键词
Stochastic optimal control; Dynamic equations distributional robustness; Game formulation; Risk measures;
D O I
10.1016/j.orl.2024.107234
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The main goal of this paper is to discuss construction of distributionally robust counterparts of stochastic optimal control problems. Randomized and non-randomized policies are considered. In particular necessary and sufficient conditions for existence of non-randomized policies are given.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Distributionally robust modeling of optimal control
    Shapiro, Alexander
    OPERATIONS RESEARCH LETTERS, 2022, 50 (05) : 561 - 567
  • [2] Distributionally Robust Control of Constrained Stochastic Systems
    Van Parys, Bart P. G.
    Kuhn, Daniel
    Goulart, Paul J.
    Morari, Manfred
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (02) : 430 - 442
  • [3] Stochastic and Distributionally Robust Load Ensemble Control
    Hassan, Ali
    Mieth, Robert
    Deka, Deepjyoti
    Dvorkin, Yury
    IEEE TRANSACTIONS ON POWER SYSTEMS, 2020, 35 (06) : 4678 - 4688
  • [4] Distributionally Robust Uncertainty Quantification via Data-Driven Stochastic Optimal Control
    Pan, Guanru
    Faulwasser, Timm
    IEEE CONTROL SYSTEMS LETTERS, 2023, 7 : 3036 - 3041
  • [5] Distributionally robust Optimal Control and MDP modeling
    Shapiro, Alexander
    OPERATIONS RESEARCH LETTERS, 2021, 49 (05) : 809 - 814
  • [6] Distributionally Robust Stochastic Optimal Water Flow and Risk Management
    Guo, Yi
    Summers, Tyler H.
    IFAC PAPERSONLINE, 2020, 53 (02): : 16617 - 16623
  • [7] Distributionally Robust Stochastic Control with Conic Confidence Sets
    Yang, Insoon
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [8] Distributionally Robust Optimal and Safe Control of Stochastic Systems via Kernel Conditional Mean Embedding
    Romao, Licio
    Hota, Ashish R.
    Abate, Alessandro
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 2016 - 2021
  • [9] DISTRIBUTIONALLY ROBUST STOCHASTIC PROGRAMMING
    Shapiro, Alexander
    SIAM JOURNAL ON OPTIMIZATION, 2017, 27 (04) : 2258 - 2275
  • [10] Adaptive dynamic programming and distributionally robust optimal control of linear stochastic system using the Wasserstein metric
    Liang, Qingpeng
    Hu, Jiangping
    Shi, Kaibo
    Wu, Yanzhi
    Xiang, Linying
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2024, 38 (08) : 2810 - 2832