Adaptive stabilisation for a class of uncertain coupled parabolic equations
Adaptive stabilisation for a class of uncertain coupled parabolic equations
复制标题
一类不确定耦合抛物线方程的自适应镇定
DOI：
10.1080/00207179.2018.1564842
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发表时间：
2020-10
影响因子：
2.1
通讯作者：
Yungang Liu
中科院分区：
文献类型：
--
作者：
Jian Li;Yungang Liu
ABSTRACT Adaptive stabilisation is investigated for a class of uncertain coupled parabolic equations in this paper. The presence of unknown coefficients can reduce the rigorousness of system modelling and enlarge the scope of the systems, whereas it could give rise to essential difficulties to control problems. Mainly due to the latter, certain new initiative, such as uncertainty compensation, should be considered to solve the stabilisation problem. For this, by infinite-dimensional backstepping method combining with adaptive compensation technique, an adaptive control scheme is proposed. Then, an adaptive state-feedback controller is constructed which guarantees that all the closed-loop system states are bounded while the original system states converge to zero. A numerical example is provided to validate the effectiveness of the theoretical results.
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