Control of one kind of nonlinear parabolic distributed parameter system with moving boundary

被引：0

作者：

Zhou, JJ ^{[1
]}

Zou, YH ^{[1
]}

Xu, YH ^{[1
]}

Liu, N ^{[1
]}

机构：

[1] Univ Sci & Technol China, State Key Lab Fire Sci, Hefei 230026, Anhui, Peoples R China

来源：

COMPUTATIONAL MECHANICS | 2001年 / 27卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the modeling of one kind of nonlinear parabolic distributed parameter control system. By transforming the system to that in the fixed domain, or into the lumped parameter system, this paper provides an insight into the basic features of the control system, as well as the critical conditions for the control variable. The equations for one-dimensional systems of planar, cylindrical and spherical cases are formulated as a unified form, and the dynamic characteristics of the open-loop control system and close-cycle feedback control system have been investigated. Numerical results agree well with theoretical results. The simulation results indicate that the system is well posed, stable, measurable and controllable.

引用

页码：311 / 316

页数：6

共 50 条

[11] CONTROL OF A DISTRIBUTED PARAMETER SYSTEM WITH A FREE BOUNDARY
WANG, PKC
INTERNATIONAL JOURNAL OF CONTROL, 1967, 5 (04) : 317 - &
[12] Boundary Optimal Control for Parabolic Distributed Parameter Systems With Value Iteration
Sun, Jingyi
Luo, Biao
Xu, Xiaodong
Yang, Chunhua
IEEE TRANSACTIONS ON CYBERNETICS, 2024, 54 (03) : 1571 - 1581
[13] Boundary Control of a Parabolic System with Delay and Distributed Parameters on the Graph
Provotorov, Vyacheslav V.
2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP), 2015, : 126 - 128
[14] Classical solution of a one-dimensional parabolic boundary value problem with nonlinear boundary conditions and moving boundary
Chernov, I. A.
DIFFERENTIAL EQUATIONS, 2010, 46 (07) : 1053 - 1062
[15] Classical solution of a one-dimensional parabolic boundary value problem with nonlinear boundary conditions and moving boundary
I. A. Chernov
Differential Equations, 2010, 46 : 1053 - 1062
[16] Inertial manifold and sliding mode control of nonlinear parabolic distributed parameter systems
Zhao, Zhihui
Liu, Mingyang
Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 1995, 34 (01):
[17] Optimal control of a parabolic distributed parameter system via orthogonal polynomials
Sadek, IS
Bokhari, MA
OPTIMAL CONTROL APPLICATIONS & METHODS, 1998, 19 (03): : 205 - 213
[18] A DIGITAL ADAPTIVE-CONTROL LAW FOR A PARABOLIC DISTRIBUTED PARAMETER SYSTEM
KOBAYASHI, T
SYSTEMS & CONTROL LETTERS, 1984, 4 (03) : 175 - 179
[19] OPTIMAL ALLOCATION OF ACTUATORS FOR CONTROL OF A PARABOLIC DISTRIBUTED-PARAMETER SYSTEM
YOSHIDA, M
MATSUI, K
MATSUMOTO, S
KAGAKU KOGAKU RONBUNSHU, 1993, 19 (04) : 639 - 646
[20] An adaptive neural network prediction for nonlinear parabolic distributed parameter system based on block-wise moving window technique
Wang, Mengling
Shi, Hongbo
NEUROCOMPUTING, 2014, 133 : 67 - 73

← 1 2 3 4 5 →