The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

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

På svenska

Author

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.

Publishing year

1990

Language

English

Document type

Conference paper

Topic

  • Control Engineering

Keywords

  • 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