Sampled-data stabilization of a class of nonlinear differential algebraic systems via partial-state and output feedback

被引：4

作者：

Lan, Qixun ^{[1
]}

Sun, Liying ^{[2
]}

Liang, Jiarong ^{[3
]}

Li, Yajie ^{[1
]}

Cai, Yujie ^{[1
]}

Wang, Zhe ^{[1
]}

Wang, Xiaofeng ^{[1
]}

机构：

[1] Henan Univ Urban Construct, Sch Math & Phys, Henan Prov Engn Lab Bldg Photovolta, Pingdingshan 467036, Peoples R China

[2] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China

[3] Guangxi Univ, Sch Comp Elect & Informat, Nanning 530004, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 08期

基金：

中国国家自然科学基金;

关键词：

H-INFINITY CONTROL; FAULT-TOLERANT CONTROL; CONTROLLER-DESIGN; SINGULAR SYSTEMS; ROBUST-CONTROL; TIME; STABILITY; EQUATION; OBSERVER;

D O I：

10.1016/j.jfranklin.2020.02.016

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 problem of sampled-data stabilization for a class of nonlinear differential-algebraic systems is considered by using partial-state and output feedback. First, based on the output feedback domination approach, a systematic design procedure for sampled-data output feedback controller is proposed without using the states of the algebraic subsystem. It is shown that the proposed sampled-data controller can ensure the whole closed-loop nonlinear differential-algebraic system is asymptotically stable by choosing appropriate scaling gains and sampling period. In addition, due to the domination nature of the proposed method, the obtained results can be extended to more general class of nonlinear differential-algebraic systems easily. Finally, simulation examples are provided to illustrate the effectiveness of the proposed control method. (c) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4742 / 4758

页数：17

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