标题：Adaptive stabilisation for a class of uncertain coupled parabolic equations
作者：Li J.; Liu Y.
作者机构：[Li, J] School of Mathematics and Information Sciences, Yantai University, Yantai, China;[ Liu, Y] School of Control Science and Engineering, Shandong 更多
通讯作者地址：[Li, J] School of Mathematics and Information Sciences, Yantai UniversityChina;
来源：International Journal of Control
关键词：adaptive control; Coupled parabolic equation; stabilisation; uncertain system
摘要：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. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.