Author(s)

Arun Kumar Singh, Amit Dhawan

Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India.

This paper investigates the problem of robust optimal H_∞ 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_∞ 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_∞ noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method.

2-D Discrete Systems, General Model, H_∞ Control, Linear Matrix Inequality, State Feedback, Uncertain System

Singh, A. and Dhawan, A. (2016) Robust Optimal H_∞ Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model. Journal of Signal and Information Processing, 7, 78-114. doi: 10.4236/jsip.2016.72011.