Prescribed tracking error fixed-time control of stochastic nonlinear systems

The issue of prescribed tracking error fixed-time control of stochastic nonlinear systems is investigated in this article. Different from the conventional quartic Lyapunov function (LF) on tracking error, a novel LF based on two important tuning functions is constructed. By means of the fixed-time command filtered dynamic surface control (DSC) technique with the newly error compensating signals (ECSs), the designed controller can ensure that the tracking error and state tracking errors can be predicted in advance without any state transformation. Meanwhile, the problem of “curse of dimensionality” is avoided, and the filtering errors are effectively compensated for. Furthermore, an improved event-triggering mechanism (ETM) is designed to save network resources. A simulation result verifies the scheme developed. • A novel prescribed tracking error fixed-time control algorithm of stochastic nonlinear systems is investigated. • By constructing a new Lyapunov function, the proposed scheme can ensure that the tracking error and state tracking errors can be predicted in advance without any state transformation. • The proposed method can not only ensure the fixed time stability of the system, but also avoid “curse of dimensionality”, and the filtering error can be effectively compensated for.