A design is proposed and analysed for an hydraulic control system whose valve is operated in such a way as to provide time optimum system response to step inputs of various magnitudes for various inertial loads. It is attempted to operate initially with maximum acceleration, followed by maximum deceleration within the constraints imposed in avoiding cavitation. Analytical solutions are found for the non-linear equations of motion describing this operation of the system. The theoretical limitations and practical implications of the work are discussed.
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