Finite Frequency Memory Output Feedback Controller Design for T-S Fuzzy Dynamical Systems

In this paper, we will investigate the problem of finite frequency memory fixed-order output feedback controller design for Takagi-Sugeno (T-S) fuzzy affine systems. It is assumed that the disturbances reside in a finite frequency range, i.e., the low, middle, or high frequency range. The objective is to design a memory piecewise affine (PWA) controller by using past output measurements to guarantee the asymptotic stability of the resulting closed-loop system with a prescribed finite frequency H-infinity performance. Via the system state-input augmentation, a novel descriptor system approach is proposed to facilitate the controller design. All the design conditions are formulated in the form of linear matrix inequalities. It is also proven that the H-infinity performance can be improved with the memory control strategy. Finally, simulation studies are presented to show the effectiveness of the proposed design method.