Zhou JJ, Zou YH, Xu YH, Liu N (2001) Control of one kind of nonlinear parabolic distributed parameter system with moving boundary. Computational Mechanics 27(4), 311-316. [In English]

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Abstract: 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.