TY - GEN
T1 - Distributed Zero-Sum Differential Game for Multi-Agent Nonlinear Systems via Adaptive Dynamic Programming
AU - Sun, Jingliang
AU - Liu, Chunsheng
N1 - Publisher Copyright:
© 2018 Technical Committee on Control Theory, Chinese Association of Automation.
PY - 2018/10/5
Y1 - 2018/10/5
N2 - In this paper, the distributed zero-sum differential game problem for multi-agent nonlinear systems is investigated by using adaptive dynamic programming (ADP) technique, which brings together the distributed control, zero-sum differential graphical game and ADP. To find the cooperative Nash-equilibrium solutions of the associated coupled Hamilton-Jacobi-Isaacs (HJI) equations, the ADP technique is employed, in which a critic network is constructed to approximate the cooperative cost function online with a novel updating law. By utilizing the Lyapunov direct method, the closed-loop system and weight estimation errors are guaranteed to be uniformly ultimately bounded (UUB). Finally, simulation results demonstrate the effectiveness of the proposed method.
AB - In this paper, the distributed zero-sum differential game problem for multi-agent nonlinear systems is investigated by using adaptive dynamic programming (ADP) technique, which brings together the distributed control, zero-sum differential graphical game and ADP. To find the cooperative Nash-equilibrium solutions of the associated coupled Hamilton-Jacobi-Isaacs (HJI) equations, the ADP technique is employed, in which a critic network is constructed to approximate the cooperative cost function online with a novel updating law. By utilizing the Lyapunov direct method, the closed-loop system and weight estimation errors are guaranteed to be uniformly ultimately bounded (UUB). Finally, simulation results demonstrate the effectiveness of the proposed method.
KW - Adaptive dynamic programming (ADP)
KW - Distributed control
KW - Multi-agent system (MAS)
KW - Zero-sum differential game
UR - http://www.scopus.com/inward/record.url?scp=85056110659&partnerID=8YFLogxK
U2 - 10.23919/ChiCC.2018.8484118
DO - 10.23919/ChiCC.2018.8484118
M3 - Conference contribution
AN - SCOPUS:85056110659
T3 - Chinese Control Conference, CCC
SP - 2770
EP - 2775
BT - Proceedings of the 37th Chinese Control Conference, CCC 2018
A2 - Chen, Xin
A2 - Zhao, Qianchuan
PB - IEEE Computer Society
T2 - 37th Chinese Control Conference, CCC 2018
Y2 - 25 July 2018 through 27 July 2018
ER -