Attack Analysis and Resilient Control Design for Discrete-time Distributed Multi-agent Systems

This work presents a rigorous analysis of the adverse effects of cyber-physical attacks on discrete-time distributed multi-agent systems, and propose a mitigation approach for attacks on sensors and actuators. First, we show how an attack on a compromised agent can propagate and affect intact agents that are reachable from it. This is, an attack on a single node snowballs into a network-wide attack and can even destabilize the entire system. Moreover, we show that the attacker can bypass the robust $H_{\infty}$ control protocol and make it entirely ineffective in attenuating the effect of the adversarial input on the system performance. Finally, to overcome adversarial effects of attacks on sensors and actuators, a distributed adaptive attack compensator is designed by estimating the normal expected behavior of agents. The adaptive attack compensator is augmented with the controller and it is shown that the proposed controller achieves secure consensus in presence of the attacks on sensors and actuators. This controller does not require to make any restrictive assumption on the number of agents or agent's neighbors under direct effect of adversarial input. Moreover, it recovers compromised agents under actuator attacks and avoids propagation of attacks on sensors without removing compromised agents. The effectiveness of the proposed controller and analysis is validated on a network of Sentry autonomous underwater vehicles subject to attacks under different scenarios.