@inproceedings{c0c80b76849f46f983b56ce2336b4bc1,
title = "Zero-sum differential games for nonlinear systems using adaptive dynamic programming with input constraint",
abstract = "In this paper, the zero-sum differential game problem for a class of nonlinear system with input constraints is investigated via adaptive dynamic programming (ADP). A suitable non-quadratic functional is utilized to embed the control constraints into the differential game problem. Then, the Nash equilibrium solution is found by solving the constrained Hamilton-Jacobi-Isaacs (HJI) equation. The single critic network is constructed to approximate the solution of associated HJI equation online. A robustifying control term is added to the controller to eliminate the effect of residual error, leading to the asymptotically stability of the closed-loop system. Simulation results verify the effectiveness of proposed method by using a simple nonlinear system.",
keywords = "adaptive dynamic programming, asymptotically stability, differential game, input constraints",
author = "Jingliang Sun and Chunsheng Liu",
note = "Publisher Copyright: {\textcopyright} 2017 Technical Committee on Control Theory, CAA.; 36th Chinese Control Conference, CCC 2017 ; Conference date: 26-07-2017 Through 28-07-2017",
year = "2017",
month = sep,
day = "7",
doi = "10.23919/ChiCC.2017.8027736",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "2501--2506",
editor = "Tao Liu and Qianchuan Zhao",
booktitle = "Proceedings of the 36th Chinese Control Conference, CCC 2017",
address = "United States",
}