Robust Optimal H<sub>∞</sub> Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model
Robust Optimal H<sub>∞</sub> Control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model作者机构:Department of Electronics and Communication Engineering Motilal Nehru National Institute of Technology Allahabad India
出 版 物:《Journal of Signal and Information Processing》 (信号与信息处理(英文))
年 卷 期:2016年第7卷第2期
页 面:78-114页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:2-D Discrete Systems General Model H∞ Control Linear Matrix Inequality State Feedback Uncertain System
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.