Robust Optimal H_∞ Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model  

作　　者：Arun Kumar Singh Amit Dhawan Arun Kumar Singh;Amit Dhawan(Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India)

机构地区：[1]Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India

出　　处：《Journal of Signal and Information Processing》2016年第2期78-114,共17页信号与信息处理（英文）

摘　　要：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.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.

关 键 词：2-D Discrete Systems General Model H_∞ Control Linear Matrix Inequality State Feedback Uncertain System 

分 类 号：O17[理学—数学]