Finite-time consensus control for a class of multi-agent systems with dead-zone input

• Published in: Journal of the Franklin Institute 2021-05, Vol.358 (7), p.3512-3529
• Main Authors: Yao, Dajie, Dou, Chunxia, Zhao, Nan, Zhang, Tingjun
• Format: Article
• Language: English
• Subjects: Adaptive control; Control systems design; Controllers; Feedback control systems; Finite element analysis; Graph theory; Multiagent systems; Topology
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2021.02.022

•The finite-time consensus control scheme for non-affine pure-feedback MASs is proposed for the first time in this note.•The proposed strategy can ensure that all agent’s states convergent into a small scale of the origin in finite time.•The dead-zone input is first considered for non-affine pure-feedback MASs in finite-time stabilization.•The dead-zone input can be solved by the combination of a linear term and a interference-like term in this note. This paper investigates a finite-time consensus issue for non-affine pure-feedback multi-agent systems with dead-zone input. Compared with the existing results on multi-agent systems, finite-time consensus problem of non-affine multi-agent systems is proposed for the first time. Based on the backsteppting technique, adaptive finite-time consensus control scheme is presented. With the help of this strategy, adaptive virtual variables, adaptive laws and the actual controller are designed to guarantee that the consensus errors converge to a small scale of the origin in finite time. Finally, a practical example is applied to verify the feasibility of the proposed method.