Stability analysis of discrete singular fuzzy systems

This work mainly develops a discrete singular fuzzy model and discusses its stability. The standard discrete T-S model is generalized into the so-called discrete singular Takagi-Sugeno (DST-S) model, which can represent a larger class of nonlinear systems, and the stability criteria of this system are then investigated. These criteria are described by non-strict linear matrix inequalities, and we thus involve the projection method for ensuring stability. Based on some derived projection operators, a projection algorithm is proposed for solving a feasible solution. An illustrating example demonstrates the validity and effectiveness of the proposed method.