Abstract
THE mathematical synthesis problem in linear servomechanism design is to find the description of the system when the desired output response to a given input is specified. The desired output, however, is often defined as the best that can be obtained, where the word “best” has several connotations which include fastest transient response, minimum overshoot, and minimum tendency toward persistent oscillations. Under the assumption that there are no restrictions on the values that a sufficient number of system parameters may take, it is possible to apply suitable criteria and select the optimum response in a normalized time scale. The optimum response may then, theoretically at least, be reproduced, by adjustment of the system parameters, to an arbitrary time scale.
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