Robust H∞ for a class of discrete time fuzzy systems via delta operator approach

被引：46
作者：
Yang, Hongjiu [2 ]
Shi, Peng [1 ,3 ]
Zhang, Jinhui [4 ]
Qiu, Jiqing [5 ]
机构：
[1] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales
[2] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
[3] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia
[4] Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing 100029, Peoples R China
[5] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Peoples R China
来源：
INFORMATION SCIENCES | 2012年 / 184卷 / 01期
基金：
英国工程与自然科学研究理事会; 中国国家自然科学基金;
关键词：
T-S fuzzy model; Delta operator system; Norm-bounded uncertainty; Linear matrix inequality (LMI); Time delay; H-infinity state feedback; OUTPUT-FEEDBACK CONTROL; SLIDING-MODE CONTROL; NONLINEAR-SYSTEMS; CONTROL DESIGN; STABILIZATION CONDITIONS; FAULT-DETECTION; STABILITY; DELAY; SHIFT;
D O I：
10.1016/j.ins.2011.08.007
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, we investigate a robust H-infinity control problem for a class of T-S fuzzy systems with time delays by using delta operator approach. It is known that a better control effect can be obtained by using delta operator approach than using shift operator approach for small sampling periods. Furthermore, the delta operator can unify some previous related continuous and discrete fuzzy systems into fuzzy delta operator system framework. Based on Lyapunov-Krasovskii functionals in delta domain, a new fuzzy H-infinity state feedback controller is presented in terms of linear matrix inequalities. Some experiment results of an ball and beam model on a laboratory-scale setup are presented to illustrate the effectiveness and potential for the developed techniques. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：230 / 245
页数：16
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