Intermittent fault detection for linear stochastic time-delay systems with bounded disturbances

This paper investigates the problem of intermittent fault (IF) detection for a class of linear discrete-time stochastic time-delay systems with bounded disturbances. First of all, based on the lifting method, the linear stochastic dynamic system with constant time delay is converted into a non-delayed system. Moreover, in an effort to detect all the appearing time and disappearing time of the IF respectively, a sliding-time window is introduced to design the truncated residuals, and two hypothesis tests are offered to establish the detection thresholds under the framework of stochastic analysis. Finally, a simulation example of a chemical process is given to verify the effectiveness and practicability of the proposed method.