ZHOU Jian-jun, XU Yan-hou. The Study on a Kind of Control System With Nonlinear Parabolic Distributed Parameters[J]. Applied Mathematics and Mechanics, 2002, 23(2): 165-172.
Citation: ZHOU Jian-jun, XU Yan-hou. The Study on a Kind of Control System With Nonlinear Parabolic Distributed Parameters[J]. Applied Mathematics and Mechanics, 2002, 23(2): 165-172.

The Study on a Kind of Control System With Nonlinear Parabolic Distributed Parameters

  • Received Date: 2000-12-12
  • Rev Recd Date: 2001-10-30
  • Publish Date: 2002-02-15
  • 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 sys-temis well posed, stable, measurable and controllable.
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  • [1]
    Curry D M,Cox J E.Transient,compressible heat and mass transfer in porous media using the strongly implicititeration procedure[Z].AIAA No 72-23,1972.
    [2]
    徐燕侯,杨学实.发汗冷却控制系统及其特性[J].应用数学和力学,1993,14(11):993-1001.
    [3]
    周建军,童盛,刘幸东,等.树冠火蔓延的一维模型及其应用[J].中国科学技术大学学报,1996,26(增刊):218-222.
    [4]
    吴清松,童盛,周建军,等.树冠火蔓延模型和计算分析[J].火灾科学,1996,5(2):29-34.
    [5]
    徐燕侯.控制热防护层温升的发汗冷却系统[J].上海建材学院学报,1994,7(3):259-264.
    [6]
    弗里德曼.抛物型偏微分方程[M].夏宗伟译,姜礼尚校,科学出版社,1984.
    [7]
    徐燕侯,吴广钰,弓广辉,等.有烧蚀的发汗冷却控制系统动态性能的分析和数值模拟[J].系统工程和电子技术,1993,15(10):75-81.
    [8]
    徐燕侯,吴广钰,弓广辉,等.旋成体表面防热的发汗冷却控制及其数值模拟[J].计算物理,1995,12(1):71-78.
    [9]
    杨兆吉,徐燕侯,杨学实.发汗冷却系统的第二类Volterra积分方程及其数值解[J].中国科学技术大学学报,1993,23(3):100-107.
    [10]
    XU Yang-hou,YANG Zhao-ji.Numerical analysis for heat shield ablation law in transpiration cooling system[J].J Thermal Science,1993,2(4):260-265.
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