@article{Huo2025, 
author = {Yuhong Huo and Wei Xiang},
title = {Finite-time transient control of uncertain nonlinear systems based on prescribed performance and disturbance observer},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {25137-25153},
keywords = {nonlinear system, disturbance observer, performance function, finite time},
url = {https://www.sciopen.com/article/10.3934/math.20251112},
doi = {10.3934/math.20251112},
abstract = {For uncertain nonlinear systems with dead-zone input, this paper focuses on designing a disturbance observer-based adaptive fuzzy finite-time prescribed performance controller. To meet practical requirements, a fixed-time disturbance observer is constructed to estimate the system uncertainties. To confine the tracking error within a predefined range, a finite-time performance function is introduced. Subsequently, the constrained problem is transformed into a stability problem via a transformation function. Based on Lyapunov stability theory, the proposed control method can ensure that the closed-loop signals are bounded and the tracking error is restricted within the prescribed range. The simulation results confirm the validity of the proposed approach.}
}