A Distributed Fault Estimation Approach for a Class of Continuous-Time Nonlinear Networked Systems Subject to Communication Delays

TLDR: In this study, the problem of the fault estimation controller design is investigated for a class of nonlinear networked systems over a communication topology and delay-dependent conditions in the form of linear matrix inequities are derived to guarantee the stability and to obtain the parameter matrices of the observer.

Abstract: In this study, the problem of the fault estimation controller design is investigated for a class of nonlinear networked systems over a communication topology. In real systems, due to unreliable communication channels, data may be delayed or lost when it is exchanged between an agent and its neighbors. To explore this concern, in the addressed approach, each agent utilizes an augmented system based on a given communication topology for estimating the fault and the states, both within itself and in its neighbors, where information from neighbors is received with a time delay. Delay-dependent conditions in the form of linear matrix inequities (LMIs) are derived to guarantee the stability and to obtain the parameter matrices of the observer. Eventually, the simulation results are included to illustrate the performance of the addressed fault estimation approach.