Reference:
Y. Li and
B. De Schutter,
"Performance analysis of irrigation channels with distributed
control," Proceedings of the 2010 IEEE International Conference on
Control Applications, Yokohama, Japan, pp. 2148-2153, Sept. 2010.
Abstract:
For a string of pools with distant-downstream control, the internal
time-delay for water transport from upstream to downstream not only
limits the local control performance of regulating water-levels at
setpoints and rejecting offtake disturbances in each pool, but also
impacts the global performance of managing the water-level error
propagation and attenuating the amplification of control actions in
the upstream direction. A distributed control scheme which inherits
the interconnection structure of the plant is studied. It is shown
that the decoupling terms in the controller helps to improve global
closed-loop performance by decreasing the low-frequency gain of the
closed-loop coupling. Moreover, they compensate for the influence of
the time-delay by imposing extra phase lead-lag compensation in the
mid-frequency range on the closed-loop coupling function.