Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming

Yanni Chen; Chunsheng Liu; Jingliang Sun

doi:10.1109/GNCC42960.2018.9019123

Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming

Yanni Chen, Chunsheng Liu, Jingliang Sun

Nanjing University of Aeronautics and Astronautics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

In this paper, the finite-time differential game problem for a class of affine nonlinear system is investigated via adaptive dynamic programming(ADP). The cost function and optimal control strategy are found by solving the finite-time differential game problem via ADP technique combining a novel speed function. The single critic network is constructed to approximate the solution of associated Hamilton-Jacobi-Isaacs (HJI) equation online. The Lyapunov's direct method is utilized to demonstrate the closed-loop finite-time system and the estimation weight error of the critic network are uniformly ultimately bounded(UUB). Finally, simulation results are given to verify theoretical claims.

Original language	English
Title of host publication	2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538611715
DOIs	https://doi.org/10.1109/GNCC42960.2018.9019123
Publication status	Published - Aug 2018
Externally published	Yes
Event	2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018 - Xiamen, China Duration: 10 Aug 2018 → 12 Aug 2018

Publication series

Name	2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018

Conference

Conference	2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018
Country/Territory	China
City	Xiamen
Period	10/08/18 → 12/08/18

Access to Document

10.1109/GNCC42960.2018.9019123

Cite this

Chen, Y., Liu, C., & Sun, J. (2018). Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming. In 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018 Article 9019123 (2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/GNCC42960.2018.9019123

@inproceedings{167f6a184ac64960a66e5267d3adeb03,

title = "Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming",

abstract = "In this paper, the finite-time differential game problem for a class of affine nonlinear system is investigated via adaptive dynamic programming(ADP). The cost function and optimal control strategy are found by solving the finite-time differential game problem via ADP technique combining a novel speed function. The single critic network is constructed to approximate the solution of associated Hamilton-Jacobi-Isaacs (HJI) equation online. The Lyapunov's direct method is utilized to demonstrate the closed-loop finite-time system and the estimation weight error of the critic network are uniformly ultimately bounded(UUB). Finally, simulation results are given to verify theoretical claims.",

author = "Yanni Chen and Chunsheng Liu and Jingliang Sun",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018 ; Conference date: 10-08-2018 Through 12-08-2018",

year = "2018",

month = aug,

doi = "10.1109/GNCC42960.2018.9019123",

language = "English",

series = "2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018",

address = "United States",

}

Chen, Y, Liu, C & Sun, J 2018, Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming. in 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018., 9019123, 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018, Institute of Electrical and Electronics Engineers Inc., 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018, Xiamen, China, 10/08/18. https://doi.org/10.1109/GNCC42960.2018.9019123

Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming. / Chen, Yanni; Liu, Chunsheng; Sun, Jingliang.
2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. 9019123 (2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming

AU - Chen, Yanni

AU - Liu, Chunsheng

AU - Sun, Jingliang

PY - 2018/8

Y1 - 2018/8

N2 - In this paper, the finite-time differential game problem for a class of affine nonlinear system is investigated via adaptive dynamic programming(ADP). The cost function and optimal control strategy are found by solving the finite-time differential game problem via ADP technique combining a novel speed function. The single critic network is constructed to approximate the solution of associated Hamilton-Jacobi-Isaacs (HJI) equation online. The Lyapunov's direct method is utilized to demonstrate the closed-loop finite-time system and the estimation weight error of the critic network are uniformly ultimately bounded(UUB). Finally, simulation results are given to verify theoretical claims.

AB - In this paper, the finite-time differential game problem for a class of affine nonlinear system is investigated via adaptive dynamic programming(ADP). The cost function and optimal control strategy are found by solving the finite-time differential game problem via ADP technique combining a novel speed function. The single critic network is constructed to approximate the solution of associated Hamilton-Jacobi-Isaacs (HJI) equation online. The Lyapunov's direct method is utilized to demonstrate the closed-loop finite-time system and the estimation weight error of the critic network are uniformly ultimately bounded(UUB). Finally, simulation results are given to verify theoretical claims.

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DO - 10.1109/GNCC42960.2018.9019123

M3 - Conference contribution

AN - SCOPUS:85082451427

T3 - 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018

BT - 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 IEEE CSAA Guidance, Navigation and Control Conference, CGNCC 2018

Y2 - 10 August 2018 through 12 August 2018

ER -

Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming

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