English

Actuation attacks on constrained linear systems: a set-theoretic analysis

Systems and Control 2019-11-18 v1 Systems and Control Optimization and Control

Abstract

This paper considers a constrained discrete-time linear system subject to actuation attacks. The attacks are modelled as false data injections to the system, such that the total input (control input plus injection) satisfies hard input constraints. We establish a sufficient condition under which it is not possible to maintain the states of the system within a compact state constraint set for all possible realizations of the actuation attack. The developed condition is a simple function of the spectral radius of the system, the relative sizes of the input and state constraint sets, and the proportion of the input constraint set allowed to the attacker.

Keywords

Cite

@article{arxiv.1911.06736,
  title  = {Actuation attacks on constrained linear systems: a set-theoretic analysis},
  author = {P. A. Trodden and J. M. Maestre and H. Ishii},
  journal= {arXiv preprint arXiv:1911.06736},
  year   = {2019}
}

Comments

Submitted to the 21st IFAC World Congress (IFAC 2020)

R2 v1 2026-06-23T12:17:19.663Z