Cooperative Control for Stochastic Multi-Agent Systems With Asymmetric Hysteretic Quantizer

This paper researches the problem of adaptive fuzzy tracking control for stochastic nonlinear multi-agent systems subject to asymmetric hysteretic quantizer. We apply the fuzzy logic system to estimate the unknown nonlinear functions and stochastic disturbance term. Based on the sector bound property, we introduce a nonlinearity decomposition method of asymmetric hysteresis quantizer. According to the backstepping technique, a new adaptive fuzzy control protocol and adaptive law are developed. By using stochastic Lyapunov stability theory, it is testified that all the followers’ outputs converge to the neighborhood of the leader output. The simulation example is proposed to verify the availability of the control strategy.