Finite-time leader-follower consensus of a discrete-time system via sliding mode control

• Published in: Frontiers of information technology & electronic engineering Vol. 23; no. 7; pp. 1057 - 1068
• Main Authors: Song, Ruizhuo, Xing, Shi, Xu, Zhen
• Format: Journal Article
• Language: English
• Published: Hangzhou Zhejiang University Press 01.07.2022; Springer Nature B.V; Beijing Engineering Research Center of Industrial Spectrum Imaging,Beijing 100083,China%Research Institute of Urbanization and Urban Safety,School of Civil and Resource Engineering,University of Science and Technology Beijing,Beijing 100083,China; School of Automation and Electrical Engineering,University of Science and Technology Beijing,Beijing 100083,China
• Subjects: Adaptive control; Communications Engineering; Computer Hardware; Computer Science; Computer Systems Organization and Communication Networks; Control systems design; Control theory; Controllers; Discrete time systems; Disturbances; Electrical Engineering; Electronics and Microelectronics; Engineering; Instrumentation; Liapunov functions; Multiagent systems; Networks; Sliding mode control; 有限时间; 领导—跟随一致性; Finite-time; 多智能体系统; Leader-follower consensus; TP13; 自适应滑模控制; Adaptive sliding mode control; Multi-agent systems
• ISSN: 2095-9184; 2095-9230
• DOI: 10.1631/FITEE.2100565

In this study, we solve the finite-time leader-follower consensus problem of discrete-time second-order multi-agent systems (MASs) under the constraints of external disturbances. First, a novel consensus scheme is designed using a novel adaptive sliding mode control theory. Our adaptive controller is designed using the traditional sliding mode reaching law, and its advantages are chatter reduction and invariance to disturbances. In addition, the finite-time stability is demonstrated by presenting a discrete Lyapunov function. Finally, simulation results are presented to prove the validity of our theoretical results.