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Modelling, analysis and controller design of time-variable flow processes

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Zenger, Kai
dc.date.accessioned 2012-01-24T14:41:33Z
dc.date.available 2012-01-24T14:41:33Z
dc.date.issued 2003-04-11
dc.identifier.isbn 951-22-6439-0
dc.identifier.issn 0356-0872
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/2065
dc.description.abstract A systematic theory for analysis and controller design of material transport systems under unsteady flow conditions is developed. It is assumed that the system is linear with respect to material concentrations so that the input-output dynamics can be characterized by a time-varying weighting function. The relation between the residence time distribution function and the weighting function is derived, and it is shown that the two functions become equal, when represented as functions of a new integrated time variable. A considerable complexity reduction is achieved, if, additionally, the weighting function becomes invariant with respect to the new time scale (volumetric scale). It is shown that systems consisting of a series of perfect mixers with possible bypass flows and recycling is invariant with respect to the volumetric scale. A similar result applies to time variable delays, which become constants in the new time scale. Structural properties i.e. stability, controllability and observability are shown to be unchanged in the transformation thus making it possible to use analysis and synthesis methods of classical control theory of linear time-invariant systems. By this way, a time-variable PID controller and LQ controller are derived and tested. As a special result it is shown that a PID-controller with time-variable coefficients can stabilize a system, which would be unstable in the case of varying flow rates, if a controller with constant coefficients were used. The theoretical results and controller performance are tested by simulations and practical tests carried out by a laboratory-scale pilot plant. The results are shown to be in excellent agreement with those predicted in the theory. en
dc.format.extent 118
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Helsinki University of Technology en
dc.publisher Teknillinen korkeakoulu fi
dc.relation.ispartofseries Report / Helsinki University of Technology, Control Engineering Laboratory en
dc.relation.ispartofseries 136 en
dc.subject.other Automation en
dc.title Modelling, analysis and controller design of time-variable flow processes en
dc.type G4 Monografiaväitöskirja fi
dc.description.version reviewed en
dc.contributor.department Department of Automation and Systems Technology en
dc.contributor.department Automaatio- ja systeemitekniikan osasto fi
dc.subject.keyword time-varying systems en
dc.subject.keyword weighting function en
dc.subject.keyword residence time distribution en
dc.subject.keyword process control en
dc.subject.keyword continuous flow systems en
dc.subject.keyword variable flow en
dc.subject.keyword variable volume en
dc.identifier.urn urn:nbn:fi:tkk-000397
dc.type.dcmitype text en
dc.type.ontasot Väitöskirja (monografia) fi
dc.type.ontasot Doctoral dissertation (monograph) en
dc.contributor.lab Laboratory of Control Engineering en
dc.contributor.lab Systeemitekniikan laboratorio fi
local.aalto.digifolder Aalto_63744
local.aalto.digiauth ask


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