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Control Design for ...
Control Design for a Bilinear System. Reachable Sets and Exact Linearization
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Axelsson, Jan Peter (författare)
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- Hagander, Per (författare)
- Lund University,Lunds universitet,Institutionen för reglerteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Automatic Control,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 1990
- 1990
- Engelska.
- Relaterad länk:
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https://lup.lub.lu.s...
Abstract
Ämnesord
Stäng
- A bilinear system model of a continuous tank reactor from a biotechnology application (F. Mandenius et al., 1987) is studied. The concentrations of the substrate sugar and the product ethanol were measured on-line and utilized to control the flow-rate through the fermenter. The system can be integrated analytically making it possible to describe the reachable sets. Limited controllability is found on a line in the state space. These reachable set expressions are used to obtain a time-optimal controller that for large disturbances implies reversed control action as compared to linear control. Transformations used when applying exact linearization are described. The lack of controllability, also obtained using the Lie brackets of differential geometry, shows up as singularities in the transformations.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- reversed control action
- Lie brackets
- differential geometry
- control system synthesis
- fermentation
- linear syste
- bilinear system reachable sets
- exact linearization
- continuous tank reactor
- fermenter
- reachable set expressions
- time-optimal controller
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)