  In this paper, an attack problem is investigated for event-based remote state
estimation in cyber-physical systems. Our objective is to degrade the effect of
the event-based scheduler while bypassing a $\chi^2$ false data detector. A
two-channel scheduler-pointed false data injection attack strategy is proposed
by modifying the numerical characteristics of innovation signals. The attack
strategy is proved to be always existent, and an algorithm is provided to find
it. Under the proposed attack strategy, the scheduler becomes almost invalid
and the performance of the remote estimator is degraded. Numerical simulations
are used to illustrate our theoretical results.
