Partial‐node‐based resilient set‐membership filtering for output‐coupled complex networks with event‐triggered mechanisms

Abstract

This paper studies the resilient set‐membership filtering for discrete‐time nonlinear complex networks with output‐coupled topologies. An event‐triggered mechanism (ETM) is employed to save communication resources from the sensor to the filter. A resilient set‐membership filter (RSMF) handles unknown bounded uncertainty, resists the gain perturbation and makes the estimation errors to a certain ellipsoid region. Sufficient conditions for the existence of the RSMF are derived using mathematical induction techniques. The filter gain can be determined on the basis of solving a specific set of recursive matrix inequalities. Then, by optimizing the constrained ellipsoid of the estimation error, the optimized filtering performance is ensured. Finally, a numerical example is given to demonstrate the effectiveness of the proposed RSMF.