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.
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