Global Exponential Stabilization of Delayed T–S Fuzzy Systems on Time Scales Under DoS Attacks
Yin Sheng, Kexin Liu, Qiang Xiao, Tingwen Huang, Zhigang Zeng
Abstract
In this article, global exponential stabilization of Takagi–Sugeno (T–S) fuzzy systems with discrete time-varying delays on time scales under denial-of-service (DoS) attacks is investigated. When a DoS attack occurs, the control channel is blocked and the controller is disabled. Combining analytical method, inequality techniques, and time scale theory, stabilization criterion for the underlying systems is obtained via a fuzzy controller. Furthermore, the corresponding outcomes on continuous and discrete time domains are provided, respectively. Finally, two numerical simulations and an application of the Chua's circuit are exhibited to validate the effectiveness of the theories.
Topics & Concepts
Exponential stabilityFuzzy logicExponential functionControl theory (sociology)Fuzzy control systemComputer scienceMathematicsApplied mathematicsArtificial intelligenceControl (management)PhysicsMathematical analysisNonlinear systemQuantum mechanicsNetwork Security and Intrusion DetectionCybersecurity and Information SystemsChaos control and synchronization