TY - GEN
T1 - Decentralized adaptive synchronization of a class of discrete-time coupled hidden leader–follower multi-agent systems
AU - Zhang, Xinghong
AU - Ma, Hongbin
AU - Li, Nannan
AU - Yang, Chenguang
AU - Wu, Mei
N1 - Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2018.
PY - 2018
Y1 - 2018
N2 - In this paper, the challenging problem of decentralized adaptive control for a class of coupled hidden leader–follower multi-agent systems is studied. Each agent is described by a nonlinearly parameterized uncertain model in discrete time and can receive the history information from its own neighbors. The leader agent knows the desired reference trajectory, while other agents have no access to the desired reference signal. In order to tackle unknown internal parameters and unknown high-frequency gains, a projection-type parameter estimation algorithm is presented. Using the certainty equivalence principle and neighborhood history information, the decentralized adaptive control is designed, under which the boundedness of identification error is guaranteed with the help of the Lyapunov theory. Under some conditions, the whole multi-agent system eventually achieves strong synchronization in the presence of strong couplings. A simulation example is given to support the results of the proposed scheme based on the projection-type parameter estimation algorithm. Finally, we conduct the simulations using the combination of projection and one-step-guess method, which can also achieve the strong synchronization of the whole system.
AB - In this paper, the challenging problem of decentralized adaptive control for a class of coupled hidden leader–follower multi-agent systems is studied. Each agent is described by a nonlinearly parameterized uncertain model in discrete time and can receive the history information from its own neighbors. The leader agent knows the desired reference trajectory, while other agents have no access to the desired reference signal. In order to tackle unknown internal parameters and unknown high-frequency gains, a projection-type parameter estimation algorithm is presented. Using the certainty equivalence principle and neighborhood history information, the decentralized adaptive control is designed, under which the boundedness of identification error is guaranteed with the help of the Lyapunov theory. Under some conditions, the whole multi-agent system eventually achieves strong synchronization in the presence of strong couplings. A simulation example is given to support the results of the proposed scheme based on the projection-type parameter estimation algorithm. Finally, we conduct the simulations using the combination of projection and one-step-guess method, which can also achieve the strong synchronization of the whole system.
KW - Decentralized adaptive synchronization
KW - Discrete time
KW - Leader–follower
KW - Multi-agent system
KW - Nonlinear parametric uncertainty
KW - One-step-guess method
KW - Unknown high-frequency gain
UR - http://www.scopus.com/inward/record.url?scp=85045878716&partnerID=8YFLogxK
U2 - 10.1007/978-981-10-7212-3_16
DO - 10.1007/978-981-10-7212-3_16
M3 - Conference contribution
AN - SCOPUS:85045878716
SN - 9789811072116
T3 - Lecture Notes in Electrical Engineering
SP - 251
EP - 271
BT - Innovative Techniques and Applications of Modelling, Identification and Control - Selected and Expanded Reports from ICMIC 2017
A2 - Na, Jing
A2 - Wu, Xing
A2 - Zhu, Quanmin
PB - Springer Verlag
T2 - 9th International Conference on Modelling, Identification and Control, ICMIC 2017
Y2 - 10 July 2017 through 12 July 2017
ER -