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

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.