H∞ model reduction and Finite frequency for 2-D fuzzy systems

摘要

In this work, we considers the finite frequency (FF) and $H_{infty}$ model reduction for two dimensional (2D) discrete Takagi-Sugeno (TS) fuzzy Roesser models. The problem to be solved in the work is to find a reduced order model such that to approximate the original system with comparatively small. Moreover, as an the application of the developed generalized Kalman Yakubovich Popov (gKYP) lemma based on the proposed linear matrix inequality (LMI), new design conditions guaranteeing the $H_{infty}$ performance. Finally, a practical example is given to show that the developed FF distributed model reduction design method has less conservation than the method for the entire frequency region.