TY - JFULL AU - Wudhichai Assawinchaichote and Sing Kiong Nguang PY - 2007/10/ TI - Robust H∞ Filter Design for Uncertain Fuzzy Descriptor Systems: LMI-Based Design T2 - International Journal of Electrical and Computer Engineering SP - 1276 EP - 1282 VL - 1 SN - 1307-6892 UR - https://publications.waset.org/pdf/12419 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 9, 2007 N2 - This paper examines the problem of designing a robust H∞ filter for a class of uncertain fuzzy descriptor systems described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain nonlinear descriptor systems to have an H∞ performance are derived. To alleviate the ill-conditioning resulting from the interaction of slow and fast dynamic modes, solutions to the problem are given in terms of linear matrix inequalities which are independent of the singular perturbation ε, when ε is sufficiently small. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard uncertain nonlinear descriptor systems. A numerical example is provided to illustrate the design developed in this paper. ER -