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The theory of optimal servosystems utilizing the future value of desired function is obtained with the development of the theory of optimal tracking systems. The future value of desired function means the time function of the desired signal which is over some interval subsequent to each present instant.In the servosystem utilizing the future value of desired function, the future value of desired function takes a part of the desired signal in the synthesis of optimal tracking system. In contrary with the optimal tracking system, however, only the present control is valid in the servosystem utilizing the future value of desired function, because of the desired signal changes moment by moment in the latter case.In some particular cases, the structure of the resultant system is not so intricated that it can be constructed with some sensors of the future value of desired function together with a weighted summing device.Both the step and frequency responses of the illustrating second order system show that the optimal servosystem proposed in this paper is much surperior in tracking property to any other conventional servosystem.
Hayase et al. (Wed,) studied this question.