Robust Fault Detection for Nonlinear Systems with Distributed Delays

Abstract

This paper focuses on the problem of robust fault detection for a class of nonlinear time-delay systems. The system under study involves distributed time delay, unknown inputs and nonlinear fault distribution functions which is dependent on the inputs, outputs and states of the system. By applying Lyapunov stability theory and free-weighting matrix methods, a novel delay-dependent sufficient condition, which is in terms of linear matrix inequality (LMI) and ensures existence of the desired robust fault detection observer for the nonlinear systems, is proposed. When the LMI is feasible, an explicit expression of a desired observer gain is given. Based on the observer technique, desired approach to robust fault detection is presented