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

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 i...

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Bibliographic Details
Published in:Frontiers of information technology & electronic engineering 2022-07, Vol.23 (7), p.1057-1068
Main Authors: Song, Ruizhuo, Xing, Shi, Xu, Zhen
Format: Article
Language:English
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
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Summary: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.
ISSN:2095-9184
2095-9230
DOI:10.1631/FITEE.2100565