On DoS Resiliency Analysis of Networked Control Systems: Trade-Off Between Jamming Actions and Network Delays

TL;DR

This paper analyzes the resilience of Networked Control Systems to DoS attacks and delays, providing stability conditions and a trade-off algorithm to enhance system robustness against network disruptions.

Contribution

It introduces a hybrid system framework with Lyapunov conditions and a linear matrix inequality algorithm to quantify and improve NCS resiliency against DoS and delays.

Findings

Stability conditions for NCS under DoS and delays

Trade-off curves between attack duration and network delays

Numerical example demonstrating effectiveness

Abstract

This letter deals with the problem of quantifying resiliency of Networked Control Systems (NCSs) to Denial-of-Service (DoS) attacks and variable network delays. Internal exponential stability and $\mathcal{L}_2$ external stability are studied. The closed-loop system is augmented with an auxiliary timer variable and analyzed in a hybrid system framework. Lyapunov-like conditions are given to ensure $0$-input global exponential stability and $\mathcal{L}_2$ external stability. A computationally affordable algorithm based on linear matrix inequalities is devised to provide trade-off curves between maximum length of DoS attacks and largest network delays. Finally, the effectiveness of the proposed approach is shown in a numerical example.