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We develop a collection of reduced-order models for fluid systems that operate under time-varying flow and actuation parameters. A switched dynamical system is formulated that is a combination of reduced-order models valid for specific parametric subspaces and discrete switching logic. An open-loop simulation of the switched dynamical system on a two-sided driven cavity demonstrates the system΄s ability to capture the evolution of the flow and input parameters in the full-order model. [ABSTRACT FROM AUTHOR]