Powered by OpenAIRE graph
Found an issue? Give us feedback
addClaim

LQ control of an irrigation channel

Authors: Eric Weyer;

LQ control of an irrigation channel

Abstract

In this paper we consider LQ control of an irrigation channel in which the water levels are controlled using overshot gates located along the channel. Traditionally, irrigation channels have been modelled using the St. Venant equations which are partial differential equation, and hence quite difficult to use for control design. Here we base the design on simple system identification models which capture the relevant dynamics of the irrigation channel, and moreover they are easy to use for control design. It is shown that a quadratic criterion as minimised in LQ control makes sense for the physical control problem at hand. Auxiliary states are included in the state space model in order to achieve zero steady state error and to avoid inducing large waves. As expected, the LQ controller shows better performance than decentralised PI controllers. The water levels recover smoothly from disturbances without excessive oscillations, and the deviations from setpoints are small. Moreover the controller is robust against input uncertainties and unmodelled high frequency dynamics. However, much more effort has to go into the design of an LQ controller than of decentralised PI controllers, and whether the improved performance is worth the additional effort is something that has to be assessed on a case by case basis.

Related Organizations
  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    28
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
28
Average
Top 10%
Top 10%
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!