一类非线性抛物型分布参数控制系统的研究

周建军; 徐燕侯

一类非线性抛物型分布参数控制系统的研究

周建军¹,
徐燕侯²

1.
中国科学技术大学火灾科学国家重点实验室, 合肥 230026;
2.
中国科学技术大学力学和机械工程系, 合肥 230026

基金项目: 国家自然科学基金资助项目(59936140)

详细信息

作者简介:
周建军(1953- ),男,安徽人,副研究员,硕士;徐燕侯(1933- ),男,浙江人,教授.

中图分类号: O202
计量
- 文章访问数: 2529
- HTML全文浏览量: 156
- PDF下载量: 680
- 被引次数: 0
出版历程
- 收稿日期: 2000-12-12
- 修回日期: 2001-10-30
- 刊出日期: 2002-02-15

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

ZHOU Jian-jun¹,
XU Yan-hou²

1.
State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, P R China;
2.
Department of Mechanic Engineering, University of Science and Technology of China, Hefei 230026, P R China

摘要

摘要: 对一类有广泛应用的活动边界域上非线性抛物型分布参数系统进行建模。采用将系统转化为固定域系统或转化为集中参数系统的方法,从理论上分析了系统的基本特征,得出控制变量存在两个临界值,大者区分边界活动与否,小者区分边界活动后会自动停止与否。将平面、柱面和球面的一维系统表述成统一形式,通过计算机仿真研究了系统开环控制和闭环反馈控制的动态特性,数值结果与理论结果一致。计算机仿真表明系统是适定的、稳定的,而且是可测的和可控的。
- 分布参数控制 /
- 非线性 /
- 活动边界 /
- 稳定性 /
- 可测性 /
- 可控性
Abstract: 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.
- distributed parameter control system /
- nonlinear /
- moving boundary /
- stability /
- measurability /
- controllability

HTML全文

参考文献(10)

[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.