Control of a string of identical pools using non-identical feedback controllers


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 entry:

@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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