The prescribed-time fault-tolerance consensus problem is investigated for a nonlinear multi-agent system with external disturbances,model uncertainties,and actuator faults.Firstly,the inte-grated sliding mode surface is constructed using prescribed-time stability theory and sliding mode con-trol technology,and a distributed prescribed-time control protocol is designed.Secondly,by employing Lyapunov stability theory,it is proven that the first-order nonlinear multi-agent system can achieve pre-scribed-time fault-tolerance consensus under this control scheme.Compared to previous methods based on finite-time consensus and fixed-time consensus,this scheme allows for setting the convergence time in advance.Finally,numerical simulation examples are provided to validate the effectiveness of the pro-posed control protocol.
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