**Reference:**

Y. Li and
B. De Schutter,
"Control of a string of identical pools using non-identical feedback
controllers," *IEEE Transactions on Control Systems
Technology*, vol. 20, no. 6, pp. 1638-1646, Nov. 2012.

**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 exists propagation of water-level errors and
amplification of flows over gates in the upstream direction. This
paper analyzes these coupling properties for a string of identical
pools, both with identical feedback controllers and with non-identical
feedback controllers. A definition of string stability in terms of
bounded water-level errors and bounded flows is given. It is shown
that for a string of an infinite number of pools, string stability
cannot be achieved by decentralized distant-downstream feedback
control mainly due to the internal time-delay for water to travel from
upstream to downstream. Applying the analysis results on string
stability to a string of a finite number of pools, i.e. using
non-identical feedback controllers in a distant-downstream control
structure such that the closed-loop bandwidths of the subsystems
increase from downstream to upstream, a much better global performance
can be achieved than in the case of using identical feedback
controllers.

Online version of the paper

Corresponding technical report: pdf file (540 KB)

@article{LiDeS:12-001,

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

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

journal={IEEE Transactions on Control Systems Technology},

volume={20},

number={6},

pages={1638--1646},

month=nov,

year={2012},

doi={10.1109/TCST.2011.2169261}

}

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