This paper studies the problem of multi-target fault detection for cyber-physical systems(CPSs) with cyber attacks under the condition of high speed sampling. The CPSs with time-varying delay, actuator cyber attack and sensor cyber attack is considered, and the system is discretized based on the Delta operator. Then a discrete-time model with fault and attack is established under high speed sampling. The $H_/H_\infty$ fault detection filter is constructed, which makes the system robust to random disturbances and highly sensitive to the detected signals. The sufficient conditions which can guarantee the asymptotic stability and $H_/H_\infty$ performance of the system are proposed by using the Lyapunov-Krasovskii functional and linear matrix inequalities(LMIs) approach. Simulation results show the feasibility and effectiveness of the proposed method.