@article{Zhang2025, 
author = {Xuechao Zhang and Shichang Lu},
title = {Generalized fault estimator-based prescribed performance control for a class of strict-feedback nonlinear systems},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {8},
pages = {18337-18355},
keywords = {generalized fault estimator, prescribed performance control, nonlinear system, intermediate variable, fault-tolerant control},
url = {https://www.sciopen.com/article/10.3934/math.2025819},
doi = {10.3934/math.2025819},
abstract = {This paper addresses fault estimation and prescribed performance control for strict-feedback nonlinear systems subject to unknown time-varying faults. By introducing a novel intermediate variable for fault estimation, an adaptive fault estimator and a fault-tolerant controller are proposed. Utilizing a proof by contradiction, the designed prescribed performance control scheme resolves the complex coupling between fault estimation and adaptive control. Furthermore, all closed-loop signals are proven bounded, with both tracking and state errors converging to predesigned compact sets. Finally, numerical simulation on a single-link robot system validates the effectiveness of the proposed algorithm.}
}