@article{Chen2025, 
author = {Zhiqiang Chen and Alexander Yurievich Krasnov},
title = {Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {6745-6763},
keywords = {second-order nonlinear system, fixed time convergence, non-singular sliding mode control, chattering},
url = {https://www.sciopen.com/article/10.3934/math.2025309},
doi = {10.3934/math.2025309},
abstract = {This study investigates the fixed-time control problem for a class of second-order nonlinear systems. Acknowledging that most existing fixed-time sliding mode controllers encounter singularity issues, this paper aims to design a non-singular fixed-time sliding mode controller. Initially, a novel fixed-time sliding mode surface incorporating a sinusoidal function is proposed. Utilizing Lyapunov stability theory, it is rigorously demonstrated that the closed-loop system achieves fixed-time stability under the proposed controller. Furthermore, improvements are introduced to the controller design to mitigate the chattering phenomenon. It is shown that the tracking error converges to a small region around zero within a fixed time. Finally, comparative simulations conducted in MATLAB confirm the effectiveness and superiority of the proposed control algorithm.}
}