Flatness based trajectory planning and open-loop control of shallow-water waves in a tube

Abstract Open-loop control design for a fluid in a pipe is considered. The position (resp. the velocity) of a piston moving within the tube acts as control input. The system dynamics are described by the so-called Saint-Venant equations with a moving boundary condition. Rest-to-rest transitions are parameterized by means of the so called flatness-based approach to the control of dynamical systems the flat output being the water level at the uncontrolled boundary. The control algorithms are implemented on a test bench and verified in numerical and experimental studies.

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