Secure interval observer for linear continuous-time systems with discrete measurements subject to cyber-attacks
Abstract
This paper addresses the design of a secure interval state estimator for linear continuous-time systems in the bounded error context with discrete-time measurements subject to external attacks. The attacker capabilities are assumed limited in the sense that only a subset of all the sensors can be attacked although this subset is unknown. For a given upper bound on the number of attacked sensors, we propose a new selection strategy, which is able to achieve resiliency to attacks, using the width of estimated intervals. The interval observer is modelled as an impulsive system, where impulsive corrections are made periodically using measurement. The nonnegativity of the observation error between two successive measurements is preserved by applying the internal positivity of the system. The theoretical result is supported by numerical simulations.
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