Robust Delay-dependent H∞ Filter for T-S Fuzzy Descriptor Time-delay Systems with Parameter Uncertainties ⋆

This paper deals with the delay-dependent robust H∞ filter for a class of Takagi-Sugeno (T-S) fuzzy descriptor time-delay systems with parameter uncertainties. The uncertainties in the system are timevarying and bounded. By simplifying the T-S fuzzy descriptor system to the time-delay system, and base on Lyapunov stability theory in time-delay system, a sufficient condition on the existence of robust H∞ filters is derived. The design problem of robust H∞ filter is turned into the solution problem of linear matrix inequalities. And then, the delay-dependent robust H∞ filtering problem of T-S fuzzy descriptor time-delay systems can be solved in terms of a robust H∞ filtering problem without uncertainties. Finally, the example is provided to demonstrate the effectiveness of the proposed method.