Practically Fast Finite-Time Stability in the Mean Square of Stochastic Nonlinear Systems with Dead-Zone

In this paper, we address the fast finite-time stability problem for a class of uncertain stochastic nonlinear systems. The dead-zone phenomenon is a general and complex challenge in the field of nonlinear systems, which is frequently encountered in real control systems, especially in critical components such as actuators and sensors. In conjunction with the proposed backstepping approach, an adaptive fuzzy control design strategy is established and a corresponding dead-zone controller is constructed. Second, the approximation capability of fuzzy logic systems is utilized for the simultaneous handling of stochastic nonlinear systems with completely unknown nonlinearities as well as disturbance terms. Finally, a numerical simulation is provided to verify the correctness of the theoretical analysis.