%0 Journal Article
%T Actuator Fault Diagnosis for a Class of One-Dimensional Nonlinear Heat Equations via Backstepping Method
%A Lei Chen
%J Open Journal of Applied Sciences
%P 1257-1275
%@ 2165-3925
%D 2023
%I Scientific Research Publishing
%R 10.4236/ojapps.2023.138099
%X In this
paper, an actuator fault diagnosis scheme based on </span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">the </span></span></span><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\"><span style=\"font-family:Verdana;\">backstepping method is proposed for a class of nonlinear heat equations.
The fault diagnosis scheme includes fault detection, fault estimation and time
to failure (TTF) prediction. Firstly, we achieve fault detection by comparing
the detection residual with a predetermined threshold, where the detection
residual is defined as the difference between the observer output and the
system measurement output. Then, we estimate the fault function through the
fault parameter update law and calculate the TTF using only limited
measurements. Finally, the numerical simulation is performed on a nonlinear
heat equation to verify the effectiveness of the proposed fault diagnosis
scheme.
%K Fault Detection
%K Fault Estimation
%K Time to Failure (TTF)
%K Nonlinear Heat Equations
%K Backstepping
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=127009