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

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