Fixed-time adaptive consensus fault-tolerant control for stochastic nonlinear multi-agent systems with input delays

This article solves the issue of fixed-time adaptive fault-tolerant control for stochastic nonlinear multi-agent systems with actuator faults and input delays. Firstly, the fuzzy-logic systems is invoked to model the unknown nonlinear function. Then, the input delays in the network system are isolated from the control input signal by the Pade approximation method. In addition, combining the stability theory of stochastic systems and the adaptive backstepping technique, a consensus fault-tolerant control scheme with convergence time independent of initial conditions is introduced, which effectively compensates for actuator failures while realizing system is stabilization in a fixed-time. Eventually, two simulation examples demonstrate the rationality of the presented strategy.