Fault estimations for uncertain linear continuous-time systems

This paper studies the problem of fault estimations for linear continuous-time systems with polytopic uncertainties. A fault detection filter is designed, which minimizes the disturbance effects on residual output and maximizes the fault effects on residual output. By using the generalized Kalman-Yakubovich-Popov (GKYP) Lemma, the design problem is formulated to solving a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the method proposed in this paper.