A novel adaptive event‐triggering scheme for network descriptor systems with time‐delay

Summary This article is concerned with the problem of the event‐triggered H∞ control for network descriptor systems with time‐delay under a novel adaptive event‐triggering scheme. First, to save more limited communication resource, a novel adaptive event‐triggering scheme is introduced to adaptively adjust the communication threshold. Second, by considering the network‐induced delay, the system's time‐varying delay, and the transmission scheme, a delay system method is used to build a novel time‐varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions with the H∞ disturbance performance to verdict admissible and stabilization conditions to codesign the controller gain are obtained in terms of linear matrix inequalities. Then, an event‐triggered H∞ controller is proposed to stabilize descriptor systems with time‐delay. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed adaptive event‐triggering scheme.