Fuzzy Adaptive Practical Fixed-Time Consensus for Second-Order Nonlinear Multiagent Systems Under Actuator Faults

This article concentrates upon the problem of practical fixed-time consensus for second-order nonlinear multiagent systems (MASs) under directed communication topology. The convergence time is independent of the initial condition. Both loss of effectiveness and bias fault are taken into account. Meanwhile, fuzzy-logic systems are introduced to approximate the unknown nonlinear functions. By the adding-a-power-integrator method, a distributed fuzzy adaptive practical fixed-time fault-tolerant control scheme is proposed. Then, the leader can be tracked in a settling time, and the consensus tracking errors converge to an adjustable neighborhood of the origin. Finally, two simulations are given to further illustrate the effectiveness of the theoretical result.

Automated summary

This article addresses the issue of practical fixed-time consensus for second-order nonlinear multiagent systems under directed communication topology. The proposed distributed fuzzy adaptive practical fixed-time fault-tolerant control scheme effectively tracks the leader and ensures convergence of consensus tracking errors to an adjustable neighborhood of the origin. Two simulations are provided to demonstrate the theoretical results.