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has been cited by the following article:

• TITLE: Delay-Dependent Robust H∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model

  AUTHORS: Arun Kumar Singh, Akshata Tandon, Amit Dhawan

  KEYWORDS: 2-D Discrete System, General Model, H∞ Control, Linear Matrix Inequality, State Delays, Uncertain System

  JOURNAL NAME: Circuits and Systems, Vol.7 No.11, September 13, 2016

  ABSTRACT: This paper considers the problem of delay-dependent robust optimal H∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H∞ controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H∞ noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H∞ controller which minimizes the H∞ noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.