华中师范大学学报（自然科学版）2023，Vol.57Issue(6)：786-792,7.DOI:10.19603/j.cnki.1000-1190.2023.06.003
具有扰动项的双曲守恒律系统的PI反馈与稳定性分析
PI feedback and stability analysis of hyperbolic conservation law systems with perturbation term
摘要
Abstract
In this paper,the stability of hyperbolic partial differential equations with non-homogeneous disturbance term is studied under PI control,and the dissipative conditions for feedback parameters are established.Firstly,the characteristic method is used to obtain the formal solution of the system,which is substituted into the boundary conditions,and then,we can have the characteristic equation of the system a transcendental equation with a single exponential term.Secondly,the stability condition of the system is obtained by using Walton-Marshall stability criterion.Finally,the simulations by Matlab software further present the effectiveness of the conclusions.关键词
双曲守恒律系统/PI控制/指数型多项式/稳定性Key words
hyperbolic systems with conservation laws/PI controllers/exponential polynomial/stability分类
数理科学引用本文复制引用
赵东霞,鲍芳霞..具有扰动项的双曲守恒律系统的PI反馈与稳定性分析[J].华中师范大学学报（自然科学版）,2023,57(6):786-792,7.基金项目
山西省基础研究计划资助项目(20210302123046). （20210302123046）
