Fast finite-time adaptive backstepping containment control for high-order stochastic nonlinear multi-agent systems

In this paper, the fast finite-time backstepping containment control strategy is considered for high-order stochastic multi-agent systems. The addition of the finite-time command filter avoids calculating explosion which occurs in the differential process of virtual control signals for the high-order system on the traditional backstepping and makes convergence speed of control system faster. The influence of filtering errors generated by filter for control systems is eliminated by establishing error compensation systems. The fuzzy logic systems approximate unknown dynamics of systems. It proves the closed-loop systems are practically fast finite-time stable in mean square. The given simulation results show the effectiveness of the proposed control strategy.