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

Citation
Jj. Zhou et al., Control of one kind of nonlinear parabolic distributed parameter system with moving boundary, COMPUT MECH, 27(4), 2001, pp. 311-316
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTATIONAL MECHANICS
ISSN journal
01787675 → ACNP
Volume
27
Issue
4
Year of publication
2001
Pages
311 - 316
Database
ISI
SICI code
0178-7675(200104)27:4<311:COOKON>2.0.ZU;2-9
Abstract
This paper presents the modeling of one kind of nonlinear parabolic distrib uted parameter control system. By transforming the system to that in the fi xed domain, or into the lumped parameter system, this paper provides an ins ight into the basic features of the control system, as well as the critical conditions for the control variable. The equations for one-dimensional sys tems 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 resul ts agree well with theoretical results. The simulation results indicate tha t the system is well posed, stable, measurable and controllable.