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Identification of linear, multivariable systems operating under linear feedback control

Ljung, Lennart; Gustavsson, Ivar and Söderström, Torsten (1974) In IEEE Transactions on Automatic Control 19(6). p.836-840
Abstract
The possibility of estimating process parameters using input-output data collected when the system operates in closed loop is discussed in this paper. Concepts that are useful for a systematic treatment of the problem are introduced. The results refer to the case where the regulator is a linear feedback law or alternates between several such laws. It is shown that a straightforwardly applied identification scheme has the same identifiability properties as the more complex method in which the parameters of the closed-loop system are estimated first. It is also shown that it is always possible to achieve the same identifiability properties as for open-loop systems by shifting between different linear regulators. The required number of... (More)
The possibility of estimating process parameters using input-output data collected when the system operates in closed loop is discussed in this paper. Concepts that are useful for a systematic treatment of the problem are introduced. The results refer to the case where the regulator is a linear feedback law or alternates between several such laws. It is shown that a straightforwardly applied identification scheme has the same identifiability properties as the more complex method in which the parameters of the closed-loop system are estimated first. It is also shown that it is always possible to achieve the same identifiability properties as for open-loop systems by shifting between different linear regulators. The required number of regulators depends only on the number of inputs and outputs. The results obtained are illustrated by a numerical example. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Automatic Control
volume
19
issue
6
pages
836 - 840
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:0016319653
ISSN
0018-9286
DOI
10.1109/TAC.1974.1100702
language
English
LU publication?
no
id
42e650bd-5eda-4182-87c7-720fbd089b24
date added to LUP
2018-12-27 11:23:20
date last changed
2019-01-20 06:01:17
@article{42e650bd-5eda-4182-87c7-720fbd089b24,
  abstract     = {The possibility of estimating process parameters using input-output data collected when the system operates in closed loop is discussed in this paper. Concepts that are useful for a systematic treatment of the problem are introduced. The results refer to the case where the regulator is a linear feedback law or alternates between several such laws. It is shown that a straightforwardly applied identification scheme has the same identifiability properties as the more complex method in which the parameters of the closed-loop system are estimated first. It is also shown that it is always possible to achieve the same identifiability properties as for open-loop systems by shifting between different linear regulators. The required number of regulators depends only on the number of inputs and outputs. The results obtained are illustrated by a numerical example.},
  author       = {Ljung, Lennart and Gustavsson, Ivar and Söderström, Torsten},
  issn         = {0018-9286},
  language     = {eng},
  number       = {6},
  pages        = {836--840},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Automatic Control},
  title        = {Identification of linear, multivariable systems operating under linear feedback control},
  url          = {http://dx.doi.org/10.1109/TAC.1974.1100702},
  volume       = {19},
  year         = {1974},
}