Application of LS_SVM and Deconvolution Method in Fault Diagnosis for Discrete Time-Delay Systems

For discrete time-delay systems with unknown nonlinear fault, a fault observer is proposed based on least square support vector machines (LS-SVM) and deconvolution method. The proposed fault observer uses a LS_SVM regression model to estimate the nonlinear fault. The training samples of the LS_SVM regression model are the control vector sequence which is acquired from the discrete time-delay systems by deconvolution method. Stability of the observer is proved by Lyapunov function. Simulation experiments demonstrate the effectiveness of the proposed fault observer.