Robust fault diagnosis and fault tolerant control for non-Gaussian uncertainty stochastic distribution systems

Abstract

A robust adaptive observer based fault diagnosis method is proposed for non-Gaussian uncertain stochastic distribution control (SDC) systems based on the linear B-spline model. When certain conditions are satisfied, the weight state variable proves to be bounded. Stability analysis is performed for the observation error dynamic system raised form robust fault diagnosis when the uncertainty exists. Based on the information of fault estimation and the desired output probability density function (PDF), the fault tolerant controller is designed to make the output PDF track the desired PDF as close as possible. This method broadens the application of adaptive observer in fault diagnosis and fault tolerant control for uncertain SDC systems, and the observer gain matrices are calculated by the linear matrix inequalities (LMIs) method. An illustrated example is given to demonstrate the effectiveness of the proposed algorithm.