Robust fault detection observer design for Takagi-Sugeno systems: A descriptor approach

In this paper, a robust fault detection observer is designed for a class of nonlinear systems described by T-S (Takagi-Sugeno) fuzzy model with sensor faults and unknown bounded disturbances. The method uses the technique of descriptor systems by considering sensor faults as an auxiliary state variables. The basic idea of our study is to formulate the robust fault detection observer design as a H-/H∞ problem. A solution of the considered problem is then given via a Linear Matrix Inequality (LMI) formulation. The considered robust fault detection observer design problem is solved with a given sufficient conditions based on an iterative LMI procedure.