@article{Alhazmi2024, 
author = {Hadil Alhazmi and Mohamed Kharrat},
title = {Echo state network-based adaptive control for nonstrict-feedback nonlinear systems with input dead-zone and external disturbance},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {20742-20762},
keywords = {adaptive control, Lyapunov function, nonlinear systems, dead-zone, external disturbance, echo state network, error assessment criteria},
url = {https://www.sciopen.com/article/10.3934/math.20241008},
doi = {10.3934/math.20241008},
abstract = {This paper addressed the adaptive control problem for non-strict-feedback nonlinear systems with dead-zone and external disturbances. The design methodology integrated the backstepping technique with the approximation of unknown functions using an echo state network (ESN), enabling real-time adjustments. A comprehensive Lyapunov stability study was conducted to confirm the semi-globally uniformly ultimately boundedness (SGUUB) of all signals in the closed-loop system, ensuring that the tracking error converged to a small neighborhood of the origin. The effectiveness of the proposed method was further demonstrated through two examples, and error assessment criteria were utilized for comparisons with existing controllers.}
}