Fixed-Time Predefined Performance Control for Stochastic Nonlinear Systems with Dead-Zone Input

Abstract

This paper investigates the fixed-time predefined performance control problem for stochastic nonlinear systems with dead-zone input and unmeasurable states. By designing a fixed-time performance function (FTPF), the expected performance indexes can be obtained within fixed time. Combining dead-zone inverse technique with error transformation method, a model which contains a linear and a disturbance-like term is established to handle dead-zone nonlinearity. Subsequently, an observer-based fixed-time predefined performance controller is constructed by utilizing FTPF, which ensures that all variables in the closed-loop system are bounded in probability. Simultaneously, the tracking error of this paper converges to a predefined region in fixed time. Finally, the effectiveness of the presented control scheme is verified by two simulation examples.