LMI-based H∞ fuzzy equalizer design for discrete-time nonlinear channels

This paper investigates the problems of nonlinear channel equalization based on LMI-fuzzy methodology. According to Takagi-Sugeno (T-S) fuzzy modeling concept, the discrete-time nonlinear channel can be constructed by the piecewise linear subsystems. The FIR fuzzy equalizer design for nonlinear channel is transformed into a standard linear matrix inequality (LMI) optimization problem, and the coefficients of the fuzzy equalizer are obtained by solving LMIs. Thus, the result is very simple and the computation is numerically tractable. Finally, simulation result is given to demonstrate the effectiveness of the proposed methodology.