H_∞ Controller Design for Networked Systems With Two-Channel Packet Dropouts and FDI Attacks.

Area of Science:

• Control Systems Engineering
• Networked Systems Security
• Stochastic Analysis

Background:

• Networked systems face challenges from packet dropouts and false data injection attacks.
• Existing methods often struggle with linear systems, external disturbances, and dual-channel vulnerabilities.

Purpose of the Study:

• To investigate stochastic analysis and H-infinity controller design for networked systems.
• To address packet dropouts and false data injection attacks in linear systems with external disturbances.
• To consider both sensor-controller and controller-actuator channels.

Main Methods:

• Developed a discrete-time modeling framework for stochastic closed-loop systems with randomly varying parameters.
• Constructed an equivalent stochastic augmented model using matrix exponential computation.
• Derived a stability condition using linear matrix inequality (LMI), reduced-order confluent Vandermonde matrix, Kronecker product, and law of total expectation.

Main Results:

• Achieved a stability condition where LMI dimension is independent of packet dropout bounds.
• Designed an H-infinity controller ensuring exponential mean-square stability.
• Demonstrated system stability and controller performance with prescribed H-infinity levels.

Conclusions:

• The proposed method effectively handles packet dropouts and false data injection attacks in networked systems.
• The controller design is robust and practical, validated by numerical and real-world examples.
• Offers an advancement over existing literature by managing LMI dimension scalability.