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

作     者：P.A. Trodden J.M. Maestre H. Ishii 

作者机构：Department of Automatic Control & Systems Engineering University of Sheffield Sheffield UK Department of Systems and Automation Engineering University of Seville Seville Spain Department of Computer Science Tokyo Institute of TechnologyYokohama Japan 

出 版 物：《IFAC-PapersOnLine》 

年 卷 期：2020年第53卷第2期

页      面：6963-6968页

主　　题：Control problems under conflict or uncertainties Constrained control Robustness 

摘      要：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.