Linearization-Based Quantized Stabilization of Nonlinear Systems Under DoS Attacks

TL;DR

This paper presents a method for stabilizing nonlinear control systems under DoS attacks by using linearization and a resilient quantizer, providing conditions for stability and analyzing the attack impact.

Contribution

It introduces a linearization-based quantized control approach with a resilient dynamic quantizer for nonlinear systems under DoS attacks, including stability conditions and region of attraction estimates.

Findings

Stability is achievable under bounded DoS frequency and duration.

The proposed resilient quantizer prevents saturation despite packet losses.

Simulation demonstrates effectiveness of the stabilization method.

Abstract

Motivated by recent security issues in cyber-physical systems, this technical note studies the stabilization problem of networked control systems under Denial-of-Service (DoS) attacks. In particular, we consider to stabilize a nonlinear system with limited data rate via linearization. We employ a deterministic DoS attack model constrained in terms of attacks' frequency and duration, allowing us to cover a large class of potential attacks. To achieve asymptotic stabilization, we propose a resilient dynamic quantizer in the sense that it does not saturate in the presence of packet losses caused by DoS attacks. A sufficient condition for stability is derived by restricting the average DoS frequency and duration. In addition, because of the locality of linearization, we explicitly investigate an estimate of the region of attraction, which can be expected to be reduced depending on the strength of DoS attacks. A simulation example is presented for demonstration of our results.