Modeling and Control of Hydrosystems

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Modeling and Control of Hydrosystems

Author: Xavier Litrico, Vincent Fromion | Size: 5.98 MB | Format: PDF | Publisher: Springer | Year: 2009 | pages: 425 | ISBN: 1848826230

The methods developed in this book apply to hydrosystems that can be controlled: in irrigation canals, the gates need to be operated in order to deliver water to the user; in navigation waterways, water levels need to be controlled accurately to ensure given water depths along the reaches; in combined sewer systems, overflow may be prevented by opening or closing of gates; hydroelectric power plants in regulated rivers need controllers to maintain the river water levels close to some target value; and regulated rivers used to transportwater to users need to have the water release adjusted from the upstream dam to satisfy the water demand.
The book mainly focuses on the control of irrigation canals and of regulated rivers, but the techniques presented can easily be adapted to other hydrosystems. To design automatic controllers for such systems, one needs accurate models describing the open channel dynamics. The Saint-Venant equations are commonly used by hydraulic engineers to describe open channel flow dynamics. These equations are nonlinear partial differential equations, which have a complex behavior in general, can exhibit shocks, and are therefore difficult to study for control design.
In this book the authors propose to study the linearization of the Saint-Venant equations around realistic steady flow solutions, and to design controllers that stabilize the set of linearizations. This pragmatic approach is closely related to the gain-scheduling approach commonly used in the automatic control community to control real systems.

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