Parity based fault estimation for nonlinear systems: an LMI approach

This paper deals with the parity based fault estimation for nonlinear systems modelled by Takagi-Sugeno (TS) fuzzy models. In this paper, the parity space approach for linear systems is generalized to TS fuzzy systems, and power spectra of the faults are incorporated into the design procedure. The design procedure is given in terms of a family of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed design techniques