HiTL-based adaptive fuzzy tracking control of MASs: A distributed fixed-time strategy

• Published in: Science China. Technological sciences Vol. 66; no. 10; pp. 2907 - 2916
• Main Authors: Liu, Yang, Chi, RongHu, Li, HongYi, Wang, LiJie, Lin, Na
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 01.10.2023; Springer Nature B.V
• Subjects: Adaptive control; Cooperative control; Engineering; Fuzzy control; Fuzzy logic; Fuzzy systems; Multiagent systems; Robustness (mathematics); Tracking control; heterogeneous MASs; fuzzy logic systems; fixed-time stable; adaptive tracking control; human-in-the-Loop
• ISSN: 1674-7321; 1869-1900
• DOI: 10.1007/s11431-022-2319-6

Human-in-the-loop (HiTL) control is promising for the cooperative control problem of multi-agent systems (MASs) under the complicated environment. By considering the effect of human intelligence and decision making, the system robustness and security are notably enhanced. Hence, a distributed fixed-time tracking control problem is investigated in this paper for heterogeneous MASs based on the HiTL idea. First, a lemma of practically fixed-time stable is given where an explicit relationship of settling time and convergence domain is clearly shown. Then, under the framework of the adaptive backstepping approach, a series of modified intermediate control signals is designed to avoid the singularity problem by taking advantage of power transformation, fuzzy logic systems, and inequality schemes. Finally, the numerical example and comparison results are utilized to testify the effectiveness of the proposed method.