An optimal fast rate fault detection scheme for multirate sampled-data systems

Multirate systems are abundant in industry. In this paper, the problem studied is designing a residual generator for fault detection based on multirate sampled data. The key new feature of such a residual generator is that it operates at a fast rate. The design is based on optimizing a performance index to obtain a robust parity space based residual generator. The lifting technique is used. A procedure for computing an explicit optimal causal solution is proposed.