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Control Design for a Bilinear System. Reachable Sets and Exact Linearization

In English

Författare

Summary, in English

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.

Publiceringsår

1990

Språk

Engelska

Dokumenttyp

Konferensbidrag

Ämne

  • Control Engineering

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

Conference name

29th IEEE Conference on Decision and Control, 1990

Conference date

1990-12-05 - 1990-12-07

Conference place

Honolulu, Hawaii, United States

Status

Published