%0 Journal Article %T Robust Optimal H<sub>¡Þ</sub> Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model %A Arun Kumar Singh %A Amit Dhawan %J Journal of Signal and Information Processing %P 78-114 %@ 2159-4481 %D 2016 %I Scientific Research Publishing %R 10.4236/jsip.2016.72011 %X This paper investigates the problem of robust optimal H¡Þ control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncertainties. A sufficient condition for the existence of g-suboptimal robust H¡Þ state feedback controllers is established, based on linear matrix inequality (LMI) approach. Moreover, a convex optimization problem is developed to design a robust optimal state feedback controller which minimizes the H¡Þ noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method. %K 2-D Discrete Systems %K General Model %K H< %K sub> %K ¡Þ< %K /sub> %K Control %K Linear Matrix Inequality %K State Feedback %K Uncertain System %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=66884