控制理论与应用Issue(6)：859-867,9.DOI:10.7641/CTA.2017.17047
二阶抛物系统的边界控制稳定
Stabilization of the second order parabolic system by boundary control
摘要
Abstract
Boundary control to stabilize a system of the second order parabolic equations is addressed. The state equation is a second order parabolic system with an advection and a reaction-diffusion terms. A boundary control law of the system is established through PDE backstepping. The kernel matrix equation of backstepping transformation is solved, and its solution is written in the form of series. Stability of the closed loop is shown through boundedness of the backstepping transformation and its inverse. A specific system is simulated. Simulation results are presented by figures.关键词
边界控制/抛物方程组/后推法/控制律/稳定Key words
boundary control/parabolic equations/backstepping/control law/stability分类
信息技术与安全科学引用本文复制引用
甄志远,谢成康,司元超,何翠华..二阶抛物系统的边界控制稳定[J].控制理论与应用,2018,(6):859-867,9.基金项目
Supported by the National Natural Science Foundation of China (11671326). （11671326）
