Robust Dissipative Filtering for Time-Delay T-S Fuzzy Systems

The robust dissipative filtering problem of non-linear systems with time-delay which can be represented by Takagi-Sugeno (T-S) fuzzy models with time-delay is addressed. The parametric uncertainty is assumed to be norm bounded. Based on delay-dependent Lyapunov functional approach, some sufficient conditions for the existence of robust dissipative filters are provided. With the help of linear matrix inequality (LMI) method, robust dissipative delay-dependent filters are designed such that, for all admissible uncertainties and time delays, the resulting filtering error system is robustly stable and satisfies the proposed dissipative performance. The effectiveness of the proposed method can be shown by the simulation example.