An $H_2$-norm approach to performance analysis of networked control systems under multiplicative routing transformations

TL;DR

This paper introduces an $H_2$-norm based method to analyze how multiplicative routing transformations, such as faults or attacks, affect the performance of networked control systems by modifying feedback pathways.

Contribution

It develops an $H_2$-norm framework with LMI formulations and analytical bounds to assess the impact of stealthy routing manipulations on system performance.

Findings

Quantifies performance degradation due to routing transformations.

Provides LMI-based computational tools for analysis.

Identifies conditions for stealthy attacks affecting control systems.

Abstract

This paper investigates the performance of networked control systems subject to multiplicative routing transformations that alter measurement pathways without directly injecting signals. Such transformations, arising from faults or adversarial actions, modify the feedback structure and can degrade performance while remaining stealthy. An $H_2$-norm framework is proposed to quantify the impact of these transformations by evaluating the ratio between the steady-state energies of performance and residual outputs. Equivalent linear matrix inequality (LMI) formulations are derived for computational assessment, and analytical upper bounds are established to estimate the worst-case degradation. The results provide structural insight into how routing manipulations influence closed-loop behavior and reveal conditions for stealthy multiplicative attacks.