On event-triggered control of linear systems under periodic denial-of-service jamming attacks

In this paper we study the resilience of a continuous LTI system which is controlled remotely via a wireless channel. An energy-constrained periodic (partially known) jammer is corrupting the control communication channel by imposing Denial-of-Service (DoS) attacks. We derive a triggering time-sequence, addressing when to update the control signal under the assumption that the period of the jammer has been detected. Then, we show that, under some sufficient condition, this triggering time-sequence counteracts the effect of the jammer and assures asymptotic stability of the plant. We prove our results theoretically, and demonstrate their validity in a simulation example.