Combiner valve control system and method

A hydraulic control system for a machine is disclosed. The hydraulic control system may have a first fluid actuator, a first pump configured to produce a first stream of pressurized fluid, a second fluid actuator, and a second pump configured to produce a second stream of pressurized fluid. The hydraulic control system may further have a combiner valve, and a controller. The controller may be configured to receive an operator input indicative of a desired velocity for the first fluid actuator, determine a flow rate for the first fluid actuator corresponding to the desired velocity, and determine a flow capacity of the first pump. The controller may also be configured to move the combiner valve to combine the second stream of pressurized fluid with the first stream of pressurized fluid when the determined flow rate for the first fluid actuator is greater than the determined flow capacity of the first pump.