Improved Dynamic Event-Triggered Security Control for T–S Fuzzy LPV-PDE Systems via Pointwise Measurements and Point Control

Abstract

This paper investigates security control for linear parameter-varying partial differential equation systems under an improved dynamic event-triggered mechanism (DETM). Initially, based on the Takagi–Sugeno fuzzy model, the nonlinear terms of the considered systems are approximated. Then, pointwise measurements are introduced to reduce the number of sensors. To further abate the transmission channel congestion caused by the limited bandwidth, an improved DETM is offered. Besides, point fuzzy controller is constructed to save control costs by utilizing limited actuators. Especially, in the networked control framework, the appearance of attacks will pose a serious threat to the systems’ stability. To simulate complex forms of attacks, dual deception attacks are taken into account. Moreover, some appropriate parameter-dependent Lyapunov–Krasovskii functionals are employed to obtain correlated conditions that ensure the exponential stability of the target system. Finally, numerical and application examples are provided to verify the effectiveness of the proposed design methods. The average trigger rate in the two cases is reduced to 4.58% and 3.68%, respectively.