A regulator for continuous sedimentation in ideal clarifier–thickener units
Författare
Summary, in English
The purpose of this paper is to present a regulator for control of the continuous-sedimentation process in a clarifier–thickener unit when this is modelled in one space dimension and when the settling properties of the solids obey Kynch’s assumption. The model is a scalar hyperbolic conservation law with space-discontinuous flux function and point source. The most desired type of solution contains a large discontinuity. A common objective is to control the movement of this discontinuity subject to the requirement that the effluent of the process have zero concentration of particles. In addition, there may be a requirement that the underflow concentration of the thickened suspension lie above a predefined value. Based on previous results on the nonlinear behaviour of the process, a nonlinear regulator is presented. It controls the location of the large discontinuity indirectly by controlling the total mass. The process is stabilized significantly and large input oscillations can be handled.
Avdelning/ar
- Matematik LTH
- Partial differential equations
- Numerical Analysis
Publiceringsår
2008
Språk
Engelska
Sidor
265-291
Publikation/Tidskrift/Serie
Journal of Engineering Mathematics
Volym
60
Issue
3-4
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Control Engineering
- Mathematics
- Water Treatment
- Water Engineering
- Chemical Engineering
Nyckelord
- Control
- Clarifier–thickener
- Continuous sedimentation
- Nonlinear regulator
- Dynamic behaviour
Status
Published
Forskningsgrupp
- Partial differential equations
- Numerical Analysis
ISBN/ISSN/Övrigt
- ISSN: 0022-0833