Distributed adaptive control for high-order stochastic nonlinear systems with unknown control gains and uncertainties

The leader-following tracking consensus problem of a class of high-order stochastic nonlinear multi-agent systems with unknown control gains and unknown system parameters is solved in this paper. For a class of high-order stochastic nonlinear multi-agent systems in parametric strict-feedback, the distributed control scheme is designed by using backstepping technology. The adaptive control method is used to deal with the unknown control gains and unknown system parameters. Besides, to save communication resources, the event-trigged control is applied. The control algorithms ensure that all states in the closed-loop system and tracking errors are globally bounded stable in probability. Two simulation examples verify the effectiveness of the designed algorithms.