Joint Time-Delay and Fault Estimation for a Time-Delayed Reaction Diffusion Equation Using a Finite-Time Convergent Method

In this paper, a non-asymptotic and robust method is proposed for the joint estimation of time-delay and fault for a class of time-delayed reaction diffusion equations with general boundary conditions. The time-delay is considered to affect the reaction term and the boundary input. The proposed method is based on the modulating functions approach. Numerical simulations are presented to illustrate the performance of the approach.