TY - GEN
T1 - Finite-time Differential Game for Nonlinear Systems Using Adaptive Dynamic Programming
AU - Chen, Yanni
AU - Liu, Chunsheng
AU - Sun, Jingliang
N1 - Publisher Copyright:
© 2018 IEEE.
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.
UR - https://www.scopus.com/pages/publications/85082451427
U2 - 10.1109/GNCC42960.2018.9019123
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 -