Adaptive Event-Triggered Control of Networked Fuzzy PDE Systems Under Hybrid Cyber-Attacks

Xiaona Song, Renzhi Zhang, Choon Ki Ahn, Shuai Song

Research output: Contribution to journalArticlepeer-review


This study investigates the security control problem of networked fuzzy PDE systems under hybrid cyber-attacks. First, the nonlinear parabolic PDE system is exactly represented by a Takagi--Sugeno (T-S) fuzzy PDE model. Second, with taking the insecure transmission network into consideration, a more practical stochastic hybrid cyber-attacks model for PDE-based networked control systems is introduced. This model contains both denial-of-service (DoS) attacks and deception attacks in a unified framework. Then, based on spatially pointwise nonuniform sampled-data measurements, an adaptive event-triggered control scheme with an adjustable threshold is newly designed to counter the hybrid cyber-attacks' impact while saving communication resources. Moreover, by constructing a novel Lyapunov--Krasovskii functional (LKF) and employing some inequality techniques, stability conditions with less conservatism are derived. Finally, the developed method is applied to the Fisher equation to demonstrate its viability and superiority.

Original languageEnglish
JournalIEEE Transactions on Fuzzy Systems
Publication statusAccepted/In press - 2022


  • Control systems
  • Denial-of-service attack
  • Event-triggered mechanism
  • Hybrid stochastic cyberattacks
  • Markov processes
  • Mathematical models
  • Networked control systems
  • Parabolic PDE systems
  • PD control
  • Security
  • Security control
  • Sensors

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics


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