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

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

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: 1 ) transforming the system in 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 stop 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.水利论文u"ua+{'}N'i'S"SE gEp

作 者: 周建军 徐燕侯  
作者单位:周建军(State Key Laboratory of Fire Science, University of Science and Technology of China,Hefei,230026, P R China)水利论文L;q!}_hi G}q_
徐燕侯(Department of Mechanic Engineering, University of Science and Technology of China, Hefei,230026, P R China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2002 23(2) 
分类号:O302 
关键词:distributed parameter control system   nonlinear   moving boundary   stability   measurability   controllability  
机标关键词:DISTRIBUTED PARAMETERSdistributed parameter systemfeedback control systemcomputer simulationmoving boundarycritical values 
基金项目:国家自然科学基金 
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