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This paper presents a new counter-measure to mitigate denial-of-servicecyber-attacks in linear time-invariant (LTI) systems. We first design a sparselinear quadratic regulator (LQR) optimal controller for a given LTI plant andevaluate the priority of the feedback communication links in terms of the lossof closed-loop performance when the corresponding block of the feedback gainmatrix is removed. An attacker may know about this priority ordering, andthereby attack the links with the highest priority. To prevent this, we presenta message rerouting strategy by which the states that are scheduled to betransmitted through the high priority links can be rerouted through lowerpriority ones in case the former get attacked. Since the attacked link is notavailable for service, and the states of the low priority links can no longerbe accommodated either, we run a structured $\mathcal{H}_2$ control algorithmto determine the post-attack optimal feedback gains. We illustrate variousaspects of the proposed algorithms by simulations.

A New Cyber-Secure Countermeasure for LTI systems under DoS attacks