Resilient Cooperative Control for Networked Lagrangian Systems Against DoS Attacks

Area of Science:

• Control Theory
• Networked Systems
• Cybersecurity

Background:

• Distributed resilient cooperative control is crucial for networked systems.
• Denial-of-service (DoS) attacks disrupt communication channels, posing significant challenges.
• Existing methods often focus on linear systems, leaving nonlinear systems under attack under-explored.

Purpose of the Study:

• To investigate the distributed resilient cooperative control problem for directed networked Lagrangian systems under DoS attacks.
• To develop a novel control scheme that ensures system stability and resilience against communication jamming.

Main Methods:

• A sampling control approach is utilized to design the resilient cooperative control scheme.
• A multidimensional small-gain scheme is employed to derive stability conditions in the absence of attacks.
• The Lyapunov approach is applied to analyze the closed-loop system's stability under DoS attacks.

Main Results:

• Sufficient conditions for stability were established using a multidimensional small-gain scheme without DoS attacks.
• A switching resilient control scheme was proposed to effectively manage DoS attacks.
• Stability conditions for control gains were derived, considering the duration and frequency of DoS attacks.

Conclusions:

• The proposed sampling control scheme offers a viable solution for resilient cooperative control in nonlinear networked Lagrangian systems under DoS attacks.
• The study provides a theoretical framework for analyzing and ensuring system stability in the presence of communication disruptions.
• This work contributes to the understanding of robust control strategies for complex networked systems facing adversarial conditions.