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.
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BibTeX
@article{LiDeS:12-001,
author = {Li, Yuping and De Schutter, Bart},
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}
}