NDLI: Control design for a bilinear system reachable sets and exact linearization

Content Provider	IEEE Xplore Digital Library
Author	Axelsson, J.P. Hagander, P.
Copyright Year	1990
Description	Author affiliation: Dept. of Autom. Control, Lund Inst. of Technol., Sweden (Axelsson, J.P.; Hagander, P.)
Abstract	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.<>
Starting Page	2828
Ending Page	2829
File Size	180942
Page Count	2
File Format	PDF
DOI	10.1109/CDC.1990.203294
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-12-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control design Nonlinear systems Optimal control Inductors Ethanol Equations Design methodology Biotechnology State-space methods Controllability
Content Type	Text
Resource Type	Article

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