Filter design approach to fault detection of discrete LRPs

This chapter addresses the mixed H2/H? fault detection problem for discrete LRPs by using robust filter design method. We design a fault detection filter to generate a residual signal by which to estimate the fault under two kinds of external disturbances: one is of bounded power, and the other is of bounded spectrum. Firstly, a sufficient condition of the mixed H2/H? performance for the fault detection dynamics is derived. Then, the solvability condition for the desired fault detection filter is established, and the corresponding fault detection filter design is cast into a convex optimization problem. Thus, the mixed H2/H? fault detection for discrete LRPs can be implemented by setting up a fault detection measure (including an evaluation function and a predefined threshold).