H∞ model reduction for T-S fuzzy systems with finite frequency specifications

This paper investigates the problem of the H
_∞
model reduction in Finite Frequency (FF) domain for continuous-time Takagi-Sugeno (T-S) fuzzy systems. Our aim is to propose a new design with new sufficient condition via LMI formulations. The method used here provides extra degree of freedom in optimization of the H
_∞
performance when frequency ranges of noises are known beforehand. The fuzzy model reduction in designed to deal with noises in Low Frequency (LF) domain. An example about a tunnel diode circuit is given to illustrate its effectiveness.