Fault detection for multirate systems with sensor saturation subject to stochastic delayed redundant channels

Abstract

In this paper, the fault detection (FD) problem is investigated for a class of multirate systems (MRSs) with sensor saturation subject to redundant channels. Lifting technology is utilized to convert MRSs into single rate systems. The redundant channel transmission strategy (RCTS) with communication delays is employed to improve quality and reliability of data transmission between the sensor and the remote fault detection filter (FDF), where the occurrence probability of delays is partially known. Specifically, an FDF is constructed to ensure that the augmented system maintains stochastic stability and meets the prescribed $H_{\infty }$ performance. Then, the FDF gains are obtained by linear matrix inequality (LMI) method. In addition, in order to verify the performance of the FDF subject to redundant channels, an FDF over single channel is also designed for comparison. Finally, a simulation case on continuous stirred tank reactor (CSTR) is utilized to illustrate the feasibility of the designed FD scheme and demonstrate the superiority of FDF subject to redundant channels.