Finite Frequency H∞ Static Output Feedback Control for 2-D Systems

This paper discusses the problem of static output feedback (SOF) control over finite frequency (FF) range for two dimensional (2D) discrete systems for Roesser model. Via the use of the Generalized Kalman Yakubovich Popov (GKYP) lemma, new design conditions guaranteeing the FF SOF H
_∞
control are established in terms of Linear Matrix Inequalities (LMIs). The new conditions provide less conservative results via the H
_∞
criterion. In the end, simulation results with comparative studies are given.