An LMI approach to fuzzy H∞ filter design for nonlinear systems

This paper addresses the problem of H
_∞
filter design for a class of nonlinear systems. The nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model. To begin with, the fuzzy H
_∞
filter is transformed to a new representation form. Then, based on the quadratic Lyapunov function, the method for H
_∞
filter design is proposed for the filtering error system. Since only a set of linear matrix inequalities (LMIs) is involved, the H
_∞
filter gains can be solved directly. A simulation example is demonstrated to show the effectiveness of the proposals.