Adaptive fuzzy fixed-time dynamic surface control for stochastic nonstrict nonlinear systems with unknown dead-zones

This paper focuses on an adaptive fuzzy fixed-time control problem for stochastic nonstrict non-linear systems with unknown dead-zones by using dynamic surface control (DSC) technology. Fuzzy logic systems (FLSs) and DSC technology are used to approximate nonlinear functions and reduce the computational complexity, respectively. At the same time, the influence of the dead-zone disturbance is offset by transforming the dead-zone model into the nonlinear model that can be approximated by the FLSs. Then, based on the fixed-time stability theory, an adaptive fuzzy fixed-time tracking control strategy is proposed, which can ensure semi-global practical fixed-time stability of the system and the tracking error converging to a small neighborhood near the origin. Finally, two simulation examples are given to prove the effectiveness of the proposed control strategy.(c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.

Automated summary

This paper focuses on an adaptive fuzzy fixed-time control problem for stochastic nonstrict non-linear systems with unknown dead-zones using dynamic surface control (DSC) technology. Fuzzy logic systems (FLSs) and DSC technology are utilized to approximate nonlinear functions and reduce computational complexity. The proposed adaptive fuzzy fixed-time tracking control strategy guarantees semi-global practical fixed-time stability of the system and convergence of the tracking error to a small neighborhood near the origin, as demonstrated by simulation examples.