FIR fuzzy equalizer design for nonlinear channels LMI-based fuzzy approach

摘要

In this paper an LMI based fuzzy methodology for nonlinear channel equalization from an H{sub}∞ perspective is proposed. 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 equalizer are obtained by solving LMIs. Besides, the stability of T-S fuzzy system has been investigated based on Lyapunov approach. Finally, simulation result is given to demonstrate the effectiveness of the proposed methodology.