Admissibility Analysis and Controller Design for T-S Fuzzy Singular Systems with Distinct Derivative Matrices

This paper is concerned with the admissibility problem for a class of T-S fuzzy singular systems with distinct derivative matrices. When derivative matrices in fuzzy rules are different, such fuzzy model can be used to describe the wide class of nonlinear singular systems. Based on fuzzy Lyapunov function and slack matrices, a relaxed sufficient condition is given to ensure the admissibility for this class of fuzzy singular system. Based on this condition, a parallel distribution compensation(PDC) controller design theorem of fuzzy singular systems is proposed via strict linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the proposed methods.