Sampled-Data Control for Time-Scale-Type Systems Under Denial-of-Service Attacks

Area of Science:

• Control Theory
• Systems Engineering
• Cybersecurity

Background:

• Time-scale-type systems (TSTSs) present unique challenges due to their discontinuous nature.
• Denial-of-service (DoS) attacks disrupt control system operations, particularly in sampled-data systems.
• Existing control methods often struggle with the combined effects of time-scale discontinuities and DoS attacks.

Purpose of the Study:

• To develop a robust sampled-data control strategy for TSTSs under DoS attacks.
• To propose a novel generalized Halanay-like inequality (GHLI) capable of handling time-scale discontinuities and variable sampling intervals.
• To establish an exponential stability criterion for TSTSs subjected to DoS attacks.

Main Methods:

• Introduction of a novel sampled-data control protocol incorporating a backward-jump-like operator (BJLO).
• Development of a generalized Halanay-like inequality (GHLI) to analyze system behavior under DoS attacks and time-scale discontinuities.
• Derivation of an exponential stability criterion by integrating the GHLI and the proposed control protocol.

Main Results:

• The proposed BJLO-based control protocol effectively manages time-scale discontinuities.
• The GHLI provides a more flexible framework for analyzing sampled-data systems compared to the common Halanay inequality (CHI).
• A rigorous stability criterion is established for TSTSs under DoS attacks, validated through simulations and a case study.

Conclusions:

• The developed control strategy and analytical inequality offer a significant advancement in securing TSTSs against DoS attacks.
• The findings are applicable to various fields requiring robust control of discontinuous systems.
• The research validates the effectiveness of the proposed methods through practical examples.