A washing machine appliance and related methods are provided. The washing machine appliance has a wash tub, a wash basket rotatably mounted within the wash tub, and a balancing system comprising a plurality of fluid chambers defined in the wash basket. The method includes rotating the wash basket within the wash tub at a basket speed. The method also includes receiving, with the balancing system, a first signal from a measurement device and receiving, with the balancing system, a second signal from a controller of the washing machine appliance. The method further includes opening a valve to provide fluid to at least one of the plurality of fluid chambers of the balancing system based on the first signal and the second signal.