自动化学报2012，Vol.38Issue(3)：469-473,5.DOI:10.3724/SP.J.1004.2012.00469
一类不确定热方程自适应边界控制
Adaptive Boundary Control for a Class of Uncertain Heat Equations
摘要
Abstract
This paper investigates the adaptive state-feedback boundary control design for a class of heat equations with uncertain control coefficient and boundary disturbance. By Lyapunov method, the desirable controller is explicitly constructed, which only needs the boundary state of the system. It is shown that the closed-loop system state is L2 [0,1] stable, and particularly, the state converges to zero when the boundary disturbance vanishes. Moreover, by skillfully choosing the initial condition of parameter updating law, the restriction on the initial condition of the system is moderately relaxed, which is usually described by the so-called compatible condition in the related literature. A simulation example is presented to illustrate the effectiveness of the proposed method.关键词
自适应镇定/不确定控制系数/边界扰动/边界控制Key words
Adaptive stabilization/uncertain control coefficient/boundary disturbance/boundary control引用本文复制引用
李健,刘允刚..一类不确定热方程自适应边界控制[J].自动化学报,2012,38(3):469-473,5.基金项目
国家自然科学基金(60974003,61143011),教育部新世纪优秀人才支持计划(NCET-07-0513),教育部科学技术研究重点项目(108079),山东省杰出青年基金(JQ200919),山东省科技发展计划(2004GG4204014),山东省优秀中青年科学家奖励基金(2007BS01010),山东大学自主创新基金(2009JQ008)资助 （60974003,61143011）
