Residual Generation for Discrete Time Periodic Systems Using Parity Space Approach

This paper deals with the strategy for fault detection (FD) of discrete-time periodic systems by implementing parity space approach. In this note, periodic discrete time systems are first converted to linear time invariant (LTI) formulation using a procedure called lifting technique which gives the analytic expression for reformulation of periodic systems into linear time invariant representation. After that, parity space approach is applied to discrete LTI system for the detection of faults and disturbance is completely decoupled from the system using perfect unknown input decoupling technique. In the end, a numerical example is solved and simulation results are provided.