Passivity-Based Asynchronous Control of 2-D Roesser Markovian Jump Systems and Stabilization Under DoS Attacks

Area of Science:

• Control Systems Engineering
• Cyber-Physical Systems
• Stochastic Systems

Background:

• 2-D Roesser Markovian jump systems (MJSs) are vulnerable to Denial-of-Service (DoS) attacks, compromising stability and performance.
• Conventional jump models may lead to mode ambiguity, while communication network vulnerabilities expose systems to cyber-attacks.
• Mismatched mode problems arise from data delays or dropouts, necessitating robust control strategies.

Purpose of the Study:

• To develop passivity-based asynchronous control for 2-D Roesser MJSs under DoS attacks.
• To propose a novel jump model that avoids mode ambiguity and incorporates global time for DoS attack characterization.
• To ensure system stabilization and guarantee passivity performance despite cyber-attacks and system uncertainties.

Main Methods:

• A novel jump model is proposed, regulating subsystem switching based on coordinate values to avoid mode ambiguity.
• A hidden Markov model (HMM) is employed to address mode mismatches caused by delays or data dropouts.
• Decoupling strategies and matrix inequality techniques are used to derive solvable conditions for control design.

Main Results:

• Conditions are established to ensure the passivity performance and stabilization of 2-D MJSs facing DoS attacks.
• The proposed control strategy effectively guarantees stabilization and passivity under cyber-attack scenarios.
• Simulation examples validate the theoretical results, demonstrating the effectiveness of the developed control approach.

Conclusions:

• The developed passivity-based asynchronous control is effective for stabilizing 2-D Roesser MJSs against DoS attacks.
• The novel jump model and HMM-based approach successfully handle system uncertainties and cyber threats.
• The research provides a robust framework for securing complex networked systems against malicious attacks.