Sampled-Data-Based Event-Triggered Fuzzy Control for PDE Systems Under Cyberattacks

Abstract

This article presents a new sampled-data-based event-triggered pointwise security controller by pointwise measurements for partial differential equation (PDE) systems under stochastic cyberattacks. First, according to the Takagi-Sugeno fuzzy model, the considered nonlinear system is reconstructed and an event-triggered pointwise fuzzy controller is proposed with pointwise measurements. Moreover, networked control systems are introduced to improve the transmission convenience; however, two deception cyberattacks with different characteristics are brought into PDE systems for the first time. In addition, based on novel Lyapunov-Krasovskii functionals, some relaxed conditions to assure system's exponential stability are established. Finally, the effectiveness and practicability of the designed controller are demonstrated by numerical and application examples.