Stability analysis and design for T-S fuzzy descriptor systems
Yuan Wang, Q.L. Zhang, Wanquan Liu · Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) · 2003
Based on the theory of interval dynamic systems, the T-S fuzzy descriptor system is converted into a linear continuous-time descriptor system with norm-bounded perturbations in matrices E, A, B and C. According to the difference of the derivative matrix, the paper gives sufficient and necessary conditions for the stability of the system in two cases. In the special case, a linear state feedback control law is given to stabilize the fuzzy descriptor system. Simulation results show the effectiveness of the proposed method.