Journal ArticleDOI
Brief paper: Filtering in distributed parameter systems with moving boundaries
W. H. Ray,John H. Seinfeld +1 more
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In this paper, a general filter for nonlinear distributed parameter systems having an arbitrary number of moving boundaries is presented, which is capable of including both volume and boundary process noise as well as measurement errors.About:
This article is published in Automatica.The article was published on 1975-09-01. It has received 31 citations till now. The article focuses on the topics: Distributed parameter system & Filter (signal processing).read more
Citations
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Journal ArticleDOI
Brief Robust control of parabolic PDE systems with time-dependent spatial domains
TL;DR: In this paper, robust nonlinear static output feedback controllers for systems of quasi-linear parabolic partial differential equations with time-dependent spatial domains and uncertain variables were synthesized and applied to a typical diffusion-reaction process with moving boundary and uncertainty.
Journal Article
Finite-dimensional control of nonlinear parabolic PDE systems with time-dependent spatial domains using empirical eigenfunctions
TL;DR: In this article, the authors present a methodology for the synthesis of finite-dimensional nonlinear output feedback controllers for nonlinear parabolic partial differential equation (PDE) systems with time-dependent spatial domains.
Journal ArticleDOI
Boundary geometric control of a linear Stefan problem
Ahmed Maidi,Jean-Pierre Corriou +1 more
TL;DR: In this paper, a geometric control of the position of a liquid-solid interface in a melting process of a material known as Stefan problem is addressed, and a control law is designed using the concept of characteristic index, from geometric control theory, directly issued from the hybrid model without any reduction of the partial differential equation.
Journal ArticleDOI
Nonlinear Feedback Control of Parabolic Partial Differential Equation Systems with Time-dependent Spatial Domains
TL;DR: In this paper, a nonlinear model reduction scheme, similar to the one introduced in Christofides and Daoutidis, was employed for the derivation of low-order ordinary differential equation ODE systems that yield solutions which are close, up to a desired accuracy, to the ones of the PDE system, for almost all times.
Journal ArticleDOI
Crystal temperature control in the Czochralski crystal growth process
TL;DR: In this paper, the authors proposed a control configuration and a nonlinear multivariable model-based feedback controller for the reduction of thermal gradients inside the crystal in the Czochralski crystal growth process after the crystal radius has reached its final value.
References
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Book ChapterDOI
Control of Distributed Parameter Systems1
TL;DR: In this article, the authors review the control of distributed parameter systems and classify them according to their spatial domain properties: (1) fixed-domain systems and (2) variable domain systems.
Book ChapterDOI
Separation by Adsorption Methods
TL;DR: In this paper, the authors discuss theories and practice of adsorption methods for separation under linear equilibrium and column dynamics at a constant separation factor, and describe the chromatographic separation method in which only a small amount of solution containing the components to be separated is admitted to the column.
Journal ArticleDOI
Natural convection transients and their effects in unidirectional solidification
J. Szekely,V. Stanek +1 more
TL;DR: In this article, a formulation is given and computed solutions are presented for transient solidification accompanied by natural convection in a vertical slot, where the simplifying assumptions made limit the validity of the solutions to systems where GrPr < 500, i.e., to narrow slots or to low values of the superheat.
Journal ArticleDOI
The effect of natural convection on the shape and movement of the melt-solid interface in the controlled solidification of lead
Julian Szekely,P. S. Chhabra +1 more
TL;DR: In this paper, the effect of natural convection on the controlled solidification of lead under conditions of nearly unidirectional heat flow within the system was investigated and the experimentally found shape and position of the solid-melt interface was reasonably well predicted by the consideration of heat transfer from the melt to the solid surface.