Robust Output Regulation of Uncertain Singular Linear Systems Subject to Input Saturation and DoS Attacks

Area of Science:

• Control Systems Engineering
• Systems Theory
• Cyber-Physical Systems Security

Background:

• Singular linear systems are prevalent in various engineering applications but are sensitive to uncertainties and external disturbances.
• Input saturation and denial-of-services (DoS) attacks pose significant challenges to the stability and performance of control systems.
• Robust output regulation is crucial for maintaining desired system behavior under adverse conditions.

Purpose of the Study:

• To develop a semi-global robust output feedback regulator for uncertain singular linear systems.
• To address the combined effects of input saturation and DoS attacks.
• To ensure asymptotic convergence of the output error to the origin.

Main Methods:

• A post-processing internal model-based robust output feedback regulator is proposed.
• Small gain techniques are employed with two small positive parameters.
• The system is modeled as a hybrid system using hybrid formalism, with jumps representing DoS attacks.

Main Results:

• The proposed regulator demonstrates robustness against certain DoS attacks and structured uncertainties.
• The output error asymptotically converges to the origin under specific conditions of small structured uncertainty and met DoS attack duration constraints.
• The effectiveness of the regulator is validated through two numerical examples.

Conclusions:

• The developed regulator effectively handles input saturation and DoS attacks in uncertain singular linear systems.
• The proposed approach provides a viable solution for robust output regulation in challenging environments.
• The findings contribute to the design of more resilient and reliable control systems.