Adaptive Fuzzy Fixed Time Time-Varying Formation Control for Heterogeneous Multiagent Systems With Full State Constraints

• Published in: IEEE transactions on fuzzy systems Vol. 31; no. 4; pp. 1152 - 1162
• Main Authors: Hou, Han-Qian, Liu, Yan-Jun, Lan, Jie, Liu, Lei
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Adaptive control; Adaptive fuzzy control; Constraints; Control methods; Convergence; fixed time stability; Formation control; full state constraints; Fuzzy logic; Fuzzy systems; heterogeneous nonlinear multiagent systems (HNMASS); Initial conditions; Multi-agent systems; Multiagent systems; Nonlinear systems; Stability; System effectiveness; time-varying formation control (TVFC); Time-varying systems; Topology; Vehicle dynamics
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2022.3195609

This article presents an adaptive fuzzy fixed time time-varying formation control (TVFC) method for uncertain heterogeneous nonlinear multiagent systems (HNMASs) with full state constraints. Meanwhile, both partial loss of effectiveness and bias fault are considered in HNMASs. The fuzzy logic systems are selected as an effective tool to approximate uncertain nonlinear functions. The original constrained states of the systems will be converted to unconstrained states by the nonlinear transformed function. Compared with previous papers, it is the first time to handle the TVFC problem of HNMASs with full state constraints. In addition, formation control based on an adaptive fuzzy fixed time strategy not only ensures fast convergence of the system, but also the convergence time doesn't depend on any initial conditions. The stability of HNMAs is proven by the fixed time stability theory. Finally, a simulation is given to testify the effectiveness of the control method.