Memory‐based dynamic event‐triggered control for networked interval type‐2 fuzzy systems subject to DoS attacks

Summary In this article, the memory‐based dynamic event‐triggered controller design issue is investigated for networked interval type‐2 (IT2) fuzzy systems under non‐periodic denial‐of‐service (DoS) attacks. For saving limited network bandwidth, a novel memory‐based dynamic event‐triggered mechanism (DETM) is proposed to schedule data communication. Unlike existing event‐triggered generators, the developed memory‐based DETM can utilize a series of newly released signals and further save network resources by introducing interval dynamic variables. Moreover, to improve design flexibility, an IT2 fuzzy controller with freely selectable fuzzy rule number and premise membership functions (MFs) is synthesized. Then, a new switched time‐delay system with imperfectly matched MFs is established under the consideration of memory‐based DETM and DoS attacks simultaneously. Besides, based on the property of MFs, the boundary information of membership grades and slack matrices are introduced in the stability analysis. Furthermore, by using a piecewise Lyapunov–Krasovskii method, membership‐functions‐dependent criteria are deduced to ensure the asymptotic stability of built fuzzy switched systems. Finally, the effectiveness of proposed control strategies is demonstrated by simulation examples.