圆柱体温度稳定的一种新方法  

A New Strategy to Stabilize the Temperature in a Cylinder

作　　者：祝晶 刘星岚 谢成康[1] ZHU Jing;LIU Xing-lan;XIE Cheng-kang(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2020年第5期45-50,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11671326).

摘　　要：考虑一类常微分方程与偏微分方程级联系统.该级联系统在工业生产中可以表示化学反应和生物发酵等问题.通过Backstepping的方法,设计了系统的控制律,再由选定的目标系统的指数稳定性以及Backstepping变换及其逆变换的有界性,证明了闭环系统在控制律下的指数稳定性.Stabilization of a cascaded system has been considered in this paper.In industrial production,the system can be used to represent the cascade of chemical reactions and biological fermentation and other issues.Firstly,a control law has been established by backstepping.And secondly,through the exponential stability of the target system and the boundedness of the backstepping transformation and its inverse transformation,the exponential stability of the closed-loop system controlled by the control law has been established.

关 键 词：圆柱体 指数稳定性 级联系统 

分 类 号：O231.2[理学—运筹学与控制论]