Event-Triggered Adaptive Dynamic Programming for Continuous-Time Nonlinear Two-Player Zero-Sum Game

被引:0
|
作者
Xue, Shan [1 ]
Luo, Biao [2 ]
Liu, Derong [3 ]
Li, Yueheng [1 ]
机构
[1] Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
[2] Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
[3] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
基金
中国国家自然科学基金;
关键词
Event-triggering control; Adaptive dynamic programming; Two-player zero-sum game; Hamilton-Jacobi-Isaacs equation;
D O I
10.1007/978-3-030-04239-4_2
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, an event-triggered adaptive dynamic programming (ADP) algorithm is developed to solve the two-player zero-sum game problem of continuous-time nonlinear systems. First, a critic neural network is employed to approximate the optimal value function. Then, an event-triggered ADP method is proposed, which guarantees the stability of the closed-loop system. The developed method can save the amount of computation as the control law and disturbance law that update only when the pre-designed triggering condition is violated. Finally, its effectiveness is verified through simulation results.
引用
收藏
页码:15 / 25
页数:11
相关论文
共 50 条
  • [31] Event-triggered control based on adaptive dynamic programming for continuous-time nonlinear systems with completely unknown dynamics
    Shi, Jing
    Yue, Dong
    Yang, Yang
    Hu, Songlin
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 2035 - 2040
  • [32] A Two-Player Zero-sum Game Where Only One Player Observes a Brownian Motion
    Fabien Gensbittel
    Catherine Rainer
    Dynamic Games and Applications, 2018, 8 : 280 - 314
  • [33] A Two-Player Zero-sum Game Where Only One Player Observes a Brownian Motion
    Gensbittel, Fabien
    Rainer, Catherine
    DYNAMIC GAMES AND APPLICATIONS, 2018, 8 (02) : 280 - 314
  • [34] A theorem on symmetric two-player zero-sum games
    Laffond, G
    Laslier, JF
    LeBreton, M
    JOURNAL OF ECONOMIC THEORY, 1997, 72 (02) : 426 - 431
  • [35] Dual Heuristic Dynamic Programming Based Event-Triggered Control for Nonlinear Continuous-Time Systems
    Dong, Lu
    Sun, Changyin
    He, Haibo
    2016 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2016, : 4241 - 4248
  • [36] Robust adaptive dynamic programming for a zero-sum differential game
    Yuan, Binbin
    Lu, Pingli
    Liu, Xiangdong
    Bian, Tao
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2468 - 2473
  • [37] Predictive Event-Triggered Control based on Heuristic Dynamic Programming for Nonlinear Continuous-Time Systems
    Dong, Lu
    Zhong, Xiangnan
    Sun, Changyin
    He, Haibo
    2015 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2015,
  • [38] Event-Triggered Adaptive Dynamic Programming for Continuous-time Nonlinear System Using Measured Input-Output Data
    Zhong, Xiangnan
    Ni, Zhen
    He, Haibo
    2015 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS (IJCNN), 2015,
  • [39] Continuous-time zero-sum stochastic game with stopping and control
    Pal, Chandan
    Saha, Subhamay
    OPERATIONS RESEARCH LETTERS, 2020, 48 (06) : 715 - 719
  • [40] Upper bounds and Cost Evaluation in Dynamic Two-player Zero-sum Games
    Leudo, Santiago J.
    Ferrante, Francesco
    Sanfelice, Ricardo G.
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 424 - 429