摘要：AbstractFluid flow in hydraulic fluid machinery can be described by the Navier-Stokes equations. The numerical effort for solving partial differential equations typically is too large, however, to permit their use in real-time control applications such as state estimation or feedback control. Consequently, model reduction methods are of interest. Reduced order models based on proper orthogonal decomposition and Galerkin projection are suitable for this purpose. We demonstrate these methods can be used to design real-time capable state observers that reconstruct the fluid flow vector field for nontrivial, practically and industrially relevant geometries. Specifically, we design an observer for a valve of a reciprocating positive displacement pump. The observer can reconstruct the entire flow field in the valve based on only two measurements. We present a technique for ensuring observability of the reduced order model and show it can be used to select appropriate measurement positions.
