Adaptive resilient containment control using reinforcement learning for nonlinear stochastic multi-agent systems under sensor faults

This article proposes an optimized backstepping control strategy designed for a category of nonlinear stochastic strict-feedback multi -agent systems (MASs) with sensor faults. The plan formulates optimized solutions for the respective subsystems by designing both virtual and actual controls, achieving overall optimization of the backstepping control. To address sensor faults, an adaptive neural network (NN) compensation control method is considered. The reinforcement learning (RL) framework based on neural network approximation is employed, deriving RL update rules from the negative gradient of a simple positive function correlated with the Hamilton-JacobiBellman (HJB) equation. This significantly simplifies the RL algorithm while relaxing the constraints for known dynamics and persistent excitation. The theoretical analysis, based on stochastic Lyapunov theory, demonstrates the semi -global uniform ultimate boundedness (SGUUB) of all signals within the enclosed system, and illustrates the convergence of all follower outputs to the dynamic convex hull defined by the leaders. Ultimately, the proposed control strategy's effectiveness is validated through numerical simulations.