Inverse Open-Loop Noncooperative Differential Games and Inverse Optimal Control

被引：37

作者：

Molloy, Timothy L. ^{[1
]}

Inga, Jairo ^{[2
]}

Flad, Michael ^{[2
]}

Ford, Jason J. ^{[1
]}

Perez, Tristan ^{[1
,3
]}

Hohmann, Soeren ^{[2
]}

机构：

[1] Queensland Univ Technol, Sch Elect Engn & Comp Sci, Brisbane, Qld 4000, Australia

[2] Karlsruhe Inst Technol, Inst Control Syst, D-76131 Karlsruhe, Germany

[3] Boeing Res & Technol Australia, St Lucia, Qld 4072, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2020年 / 65卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

Games; Optimal control; Trajectory; Nash equilibrium; Australia; Differential equations; Optimization; Game theory; inverse differential games; inverse optimal control; optimal control; DYNAMIC-MODELS; TIME;

D O I：

10.1109/TAC.2019.2921835

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the problem of computing parameters of player cost functionals such that given state and control trajectories constitute an open-loop Nash equilibrium for a noncooperative differential game. We propose two methods for solving this inverse differential game problem and novel conditions under which our methods compute unique cost-functional parameters. Our conditions are analogous to persistence of excitation conditions in adaptive control and parameter estimation. The efficacy of our methods is illustrated in simulations.

引用

页码：897 / 904

页数：8

共 50 条

[41] Control Law Learning Based on LQR Reconstruction With Inverse Optimal Control [J].

Qu, Chendi ;

He, Jianping ;

Duan, Xiaoming .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2025, 70 (02) :1350-1357

[42] Online Learning Human Behavior for a Class of Human-in-the-Loop Systems via Adaptive Inverse Optimal Control [J].

Wu, Huai-Ning .

IEEE TRANSACTIONS ON HUMAN-MACHINE SYSTEMS, 2022, 52 (05) :1004-1014

[43] Optimal boundary control of a tracking problem for a parabolic distributed system with open-loop control using evolutionary algorithms [J].

Stonier, RJ ;

Drumm, MJ .

6TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XII, PROCEEDINGS: INDUSTRIAL SYSTEMS AND ENGINEERING II, 2002, :175-180

[44] Optimal Speed Tracking Control of PMSM via Inverse Optimal Composite Controller [J].

Fan, Zhong-Xin ;

Li, Shihua ;

Liu, Rongjie .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (08) :3880-3884

[45] Constrained Inverse Optimal Control With Application to a Human Manipulation Task [J].

Menner, Marcel ;

Worsnop, Peter ;

Zeilinger, Melanie N. .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2021, 29 (02) :826-834

[46] Adaptive Fuzzy Inverse Optimal Control of Nonlinear Switched Systems [J].

Zeng, Danping ;

Liu, Zhi ;

Wang, Yaonan ;

Chen, C. L. Philip ;

Zhang, Yun ;

Wu, Zongze .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (09) :3093-3107

[47] An Optimal Control Method for Nonlinear Inverse Diffusion Coefficient Problem [J].

Deng, Zui-Cha ;

Hon, Y. -C. ;

Yang, Liu .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 160 (03) :890-910

[48] Distributed inverse optimal control [J].

Jin, Wanxin ;

Mou, Shaoshuai .

AUTOMATICA, 2021, 129

[49] Continuous-time inverse quadratic optimal control problem [J].

Li, Yibei ;

Yao, Yu ;

Hu, Xiaoming .

AUTOMATICA, 2020, 117

[50] On the Reliability of Inverse Optimal Control [J].

Colombel, Jessica ;

Daney, David ;

Charpillet, Franc Comma Ois .

2022 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, ICRA 2022, 2022, :8504-8510

← 1 2 3 4 5 →