Delay-independent sliding mode control for a class of quasi-linear parabolic distributed parameter systems with time-varying delay

被引：18
|
作者：
Xing, Hailong [1 ]
Li, Donghai [2 ]
Gao, Cunchen [3 ]
Kao, Yonggui [4 ]
机构：
[1] Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R China
[2] Tsinghua Univ, Dept Thermal Engn, State Key Lab Power Syst, Beijing 100084, Peoples R China
[3] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
[4] Harbin Inst Technol, Sch Sci, Weihai 264200, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 02期
基金：
中国国家自然科学基金;
关键词：
NONLINEAR-SYSTEMS; BOUNDARY CONTROL; FEEDBACK-CONTROL;
D O I：
10.1016/j.jfranklin.2012.12.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The sliding mode control (SMC) problem for a class of quasi-linear parabolic partial differential equation (PDE) systems with time-varying delay is considered. Firstly, the stability problem for the reduced order sliding dynamical equations is investigated and a sufficient condition for the stability of sliding motion is given. Then the SMC law, which forces the system state from any initial state to reach the sliding manifold within finite time, is designed. At last a simulation example is presented to illustrate effectiveness of the proposed method. Crown Copyright (C) 2012 Published by Elsevier Ltd. on behalf of The Franklin Institute All rights reserved.
引用
收藏
页码：397 / 418
页数：22
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