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2022, Volume 23, Issue 7

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Frontiers of Information Technology & Electronic Engineering >> 2022, Volume 23, Issue 7 doi: 10.1631/FITEE.2100565

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

Affiliation(s): School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China; 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; less

Received: 2021-12-08 Accepted: 2022-07-21 Available online: 2022-07-21
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Abstract

In this study, we solve the problem of discrete-time second-order (MASs) under the constraints of external disturbances. First, a novel consensus scheme is designed using a novel 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 stability is demonstrated by presenting a discrete Lyapunov function. Finally, simulation results are presented to prove the validity of our theoretical results.

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