Robust distributed control of quasilinear reaction-diffusion equations via infinite-dimensional sliding modes

被引：9
|
作者：
Cristofaro, Andrea [1 ,2 ]
机构：
[1] Univ Oslo, Fac Math & Nat Sci, Dept Technol Syst, N-2007 Kjeller, Norway
[2] Univ Camerino, Math Div, Sch Sci & Technol, I-62032 Camerino, Italy
来源：
AUTOMATICA | 2019年 / 104卷
关键词：
Distributed-parameter systems; Reaction-diffusion equations; Sliding-mode control; OUTPUT REGULATION; ADAPTIVE-CONTROL; TRACKING CONTROL; BOUNDARY CONTROL; UNCERTAIN HEAT;
D O I：
10.1016/j.automatica.2019.02.039
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of robust tracking control for quasilinear reaction-diffusion partial differential equations subject to external unknown perturbations. The considered class of equations is quite general, and includes classical equations such as the heat equation or the Fisher-KPP equation as special cases. Global practical stabilization of the tracking error system is established under mild conditions on the disturbance term using a regularized infinite-dimensional sliding-mode controller. Extensive simulations support and validate the theoretical results. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：165 / 172
页数：8
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