**Reference:**

Y. Li and
B. De Schutter,
"Control of a string of identical pools using non-identical feedback
controllers," *Proceedings of the 49th IEEE Conference on Decision
and Control*, Atlanta, Georgia, pp. 120-125, Dec. 2010.

**Abstract:**

In the distant-downstream control of irrigation channels, the
interactions between pools and the internal time-delay for water to
travel from upstream to downstream, impose limitations on global
performance, i.e. there exist propagation of water level errors and
amplification of flows over gates in the upstream direction. This
paper analyses these coupling properties for a string of identical
pools, both with identical feedback controllers and with non-identical
feedback controllers. The definition of string stability in terms of
bounded water level errors and bounded flows is given. It is shown
that for a string of infinite number of pools, string stability cannot
be achieved by decentralised distant-downstream feedback control.
However, for a string of finite number of pools, a better global
performance can be achieved by non-identical feedback controllers such
that the closed-loop bandwidths of the subsystems increase from
downstream to upstream.

Online version of the paper

Corresponding technical report: pdf file (422 KB)

@inproceedings{LiDeS:10-051,

author={Y. Li and B. {D}e Schutter},

title={Control of a string of identical pools using non-identical feedback controllers},

booktitle={Proceedings of the 49th IEEE Conference on Decision and Control},

address={Atlanta, Georgia},

pages={120--125},

month=dec,

year={2010},

doi={10.1109/CDC.2010.5717942}

}

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