This study addresses the observer-based proportional-integral-derivative (PID) security control problem for nonlinear discrete-time fuzzy systems subject to deception attacks. In order to reduce the burden of communication, a distributed dynamic event-triggered mechanism (DETM) is proposed, and each sensor node is equipped with an event-trigger generator. A new discrete-time Takagi–Sugeno (T-S) fuzzy model is established, in which both DETM and deception attacks are taken into consideration. Then, based on Lyapunov stability theory, the sufficient conditions for the input-to-state stability (ISS) are proposed, and the desired fuzzy PID controllers are given. Finally, a simulation example is provided to show the usefulness of the proposed approach.

This paper is concerned with the \(H_{\infty}\) proportional-integral-derivative (PID) control problem for a class of discrete-time networked control systems (NCSs). First, a dynamic event-triggered control (DETC) scheme has been introduced to save the constrained network bandwidth of networked control systems. In addition, in order to reduce the probability of data packet loss and further improve the reliability of network communication, a redundant channels transmission mechanism has been constructed during the sensor transmission process. Considering that the system state may not be obtained directly, an observer has been added when designing a closed-loop system to observe the system state. Then, according to the closed-loop system construction, with the help of Lyapunov function and through a series of derivations, some sufficient conditions are established to guarantee the exponentially stability and the prescribed \(H_{\infty}\) performance for the controlled system. Meanwhile, under the condition that the system satisfies the \(H_{\infty}\) performance, the gains of the observer and PID controller can be derived by solving linear matrix inequalities (LMIs). Finally, a simulation example is presented to demonstrate the validity of the proposed method.