Asynchronous Control for Interval Type-2 Fuzzy Nonhomogeneous Markov Jump Systems Against Successive DoS Attacks

Area of Science:

• Control Systems Engineering
• Fuzzy Logic Systems
• Cybersecurity

Background:

• Nonhomogeneous Markov jump systems are susceptible to denial-of-service (DoS) attacks.
• Asynchronous control is crucial for maintaining system performance under intermittent communication.

Purpose of the Study:

• To develop an asynchronous control strategy for Interval Type-2 fuzzy nonhomogeneous Markov jump systems under successive DoS attacks.
• To address imperfect premise matching and transmission delays in the control design.

Main Methods:

• Construction of a fuzzy asynchronous controller using a hidden Markov model.
• Development of a delay closed-loop system incorporating stochastic transmission delays.
• Derivation of stability criteria using linear matrix inequalities and Lyapunov functional approach.

Main Results:

• Stability criteria for the closed-loop system were successfully derived.
• Conditions for the existence of the fuzzy controller were established.
• The proposed control scheme demonstrated feasibility and effectiveness through simulations.

Conclusions:

• The developed fuzzy asynchronous control strategy effectively enhances the resilience of Interval Type-2 fuzzy nonhomogeneous Markov jump systems against DoS attacks.
• The method provides a robust framework for designing controllers under challenging communication constraints and cyber threats.