Actuation attacks on constrained linear systems: a set-theoretic analysis. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Trodden, P.A.; Maestre, J.M.; Ishii, H.
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 6963
• Page End: 6968
• Publication Date: 2020
• Subjects: Control problems under conflict or uncertainties -- Constrained control -- Robustness; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.415
• Languages: English
• ISSNs: 2405-8963

Abstract

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.