THE STUDY ON A KIND OF CONTROL SYSTEM WITH NONLINEAR PARABOLIC DISTRIBUTED PARAMETERS  

作　　者：ZHOU Jian-jun(周建军) XU Yan-hou(徐燕侯) 

机构地区：[1]State Key Laboratory of Fire Science, University of Science and Technology of China,Hefei,230026, P R China Department of Mechanic Engineering, University of Science and Technology of China, Hefei,230026, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第2期178-186,共9页应用数学和力学（英文版）

基　　金：HESTUDtheNationalNaturalScienceFoundationofChina ( 5993 61 40 )

摘　　要：The modelling of one kind of nonlinear parabolic distributed parameter control system with moving boundary, which had extensive applications was presented, Two methods were used to investigate the basic characteristics of the system: I) transforming the system it? the variable domain into that in the fixed domain; 2) transforming the distributed parameter system into the lumped parameter system. It is found that there are two critical values for the control variable : the larger one determines whether or not the boundary would move, while the smaller one determines whether or not the boundary, would atop automatically. For one-dimensional system of planar, cylindrical and spherical cases the definite solution problem can be expressed as a unified form. By means of the computer simulation the open-loop control system and close-cycle feedback control system have been investigated. Numerical results agree well with theoretical results. The computer simulation shows that the system is well posed, stable, measurable and controllable.The modelling of one kind of nonlinear parabolic distributed parameter control system with moving boundary, which had extensive applications was presented, Two methods were used to investigate the basic characteristics of the system: I) transforming the system it? the variable domain into that in the fixed domain; 2) transforming the distributed parameter system into the lumped parameter system. It is found that there are two critical values for the control variable : the larger one determines whether or not the boundary would move, while the smaller one determines whether or not the boundary, would atop automatically. For one-dimensional system of planar, cylindrical and spherical cases the definite solution problem can be expressed as a unified form. By means of the computer simulation the open-loop control system and close-cycle feedback control system have been investigated. Numerical results agree well with theoretical results. The computer simulation shows that the system is well posed, stable, measurable and controllable.

关 键 词：distributed parameter control system NONLINEAR moving boundary stability MEASURABILITY CONTROLLABILITY 

分 类 号：O302[理学—力学]