Disturbance Observer-Based H _∞ Control for Interval Type-2 Fuzzy Hidden Markov Jump Systems Subject to Deception...

Area of Science:

• Control Systems Engineering
• Fuzzy Logic Systems
• Cybersecurity

Background:

• Nonlinear hidden Markov jump systems are susceptible to external disturbances and cyber-attacks.
• Interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy models offer a robust framework for handling system uncertainties.

Purpose of the Study:

• To develop a composite anti-disturbance security control strategy for continuous-time nonlinear hidden Markov jump systems.
• To address the impact of multiple disturbances and deception cyber-attacks on system stability.

Main Methods:

• A composite control approach combining a disturbance observer and H∞ control is designed.
• The system is modeled using IT2 T-S fuzzy logic, incorporating deception attacks modeled by nonlinear bounded functions and Bernoulli distribution.
• Lyapunov stability theory and fuzzy theory are employed for stability analysis.

Main Results:

• The stability of the composite system under disturbances and attacks is analyzed.
• Specific designs for the fuzzy composite controller and disturbance observer are derived.
• The proposed control method's effectiveness is validated through simulation examples.

Conclusions:

• The developed composite anti-disturbance security control approach effectively enhances the stability and resilience of nonlinear hidden Markov jump systems.
• The method provides a robust solution for systems facing both external disturbances and sophisticated cyber-attacks.