On local non-quadratic H∞ Filtering of continuous-time T-S fuzzy systems

This paper focuses on the problem of H
_∞
Filtering for continuous-time nonlinear models in the Takagi-Sugeno (T-S) form. New method of H
_∞
filter design is derived based on a relaxed approach in which both Finsler's Lemma and non-quadratic Lyapunov function are used. The well known problem of handing time-derivatives of membership function (MFs) is overcomed by reducing global goals to the estimation of region of attraction. It is shown that the derived local conditions actually lead to reasonable advantages over the quadratic approach. Moreover, conditions for the solvability of the H
_∞
filter design given here are written in the form of linear matrix inequalities (LMIs) which can be efficiently solved by convex optimization techniques. Simulation example is given to demonstrate the validity of the proposed approach.