Dynamic output feedback H∞ control for 2D fuzzy systems

被引：10
|
作者：
Li, Lizhen [1 ]
Li, Xiaofeng [2 ]
Ye, Shuxia [3 ]
机构：
[1] Shanghai Univ Elect Power, Sch Math & Phys, Shanghai 200090, Peoples R China
[2] Huaiyin Inst Technol, Fac Math & Phys, Huaian, Peoples R China
[3] Jiangsu Univ Sci & Technol, Sch Elect & Informat, Zhenjiang, Jiangsu, Peoples R China
来源：
ISA TRANSACTIONS | 2019年 / 95卷
关键词：
Dynamic output feedback; 2D fuzzy systems; H-infinity control; Basis-dependent Lyapunov function; 2-D DISCRETE-SYSTEMS; STABILITY; DESIGN; STABILIZATION; MODEL;
D O I：
10.1016/j.isatra.2018.12.029
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the dynamic output feedback H-infinity control problem is considered for two-dimensional discrete fuzzy systems described by the second Fornasini-Marchesini state-space model. By introducing novel slacked matrices, sufficient criteria are established to guarantee an H-infinity noise attenuation of the resulting closed-loop system. Then the proposed output feedback H-infinity controller design method is applied to one-dimensional discrete-time fuzzy systems. It is worth mentioning that there is no rank constraints to system matrices. Moreover, the sufficient criteria are expressed as strict linear matrix inequalities, which can be effectively solved via MATLAB LMI toolbox. Finally, the effectiveness and advantage of the proposed approach are shown through two simulation examples. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 10
页数：10
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