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

Ruizhuo SONG; Shi XING; Zhen XU

doi:10.1631/FITEE.2100565

Front. Inform. Technol. Electron. Eng ›› 2022, Vol. 23 ›› Issue (7) : 1057 -1068. DOI: 10.1631/FITEE.2100565

Orginal Article

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

Ruizhuo SONG ¹^,²^,^†
, Shi XING ¹^,²
, Zhen XU ³

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Abstract

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.

Keywords

Finite-time / Leader-follower consensus / Adaptive sliding mode control / Multi-agent systems

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Ruizhuo SONG, Shi XING, Zhen XU. Finite-time leader-follower consensus of a discrete-time system via sliding mode control. Front. Inform. Technol. Electron. Eng, 2022, 23(7): 1057-1068 DOI:10.1631/FITEE.2100565