SYNTHESIS OF 'OPTIMUM' TRANSIENT RESPONSE - CRITERIA AND STANDARD FORMS
AERONAUTICAL SYSTEMS DIV WRIGHT-PATTERSON AFB OH DIRECTORATE OF FLIGHT AND ALL-WEATHER TESTING
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Various methods for synthesizing servomechanisms are reviewed, and it is pointed out that, in general, criteria for determining an optimum solution to the synthesis problem are vague. Stability criteria, frequency, and root locus methods reduce to conditions on the transfer function constants which may be made mathematically specific following Whiteleys suggestion of standard forms. Eight mathematical criteria for optimum transient responses are critically examined, and the clear superiority of the minimum integral of time multiplied absolute value of error is demonstrated. Tables of standard forms for optimum zero-displacement error systems are presented through the eighth order, and standard forms for zero-velocity and zero-acceleration-error systems are presented through the sixth order. Applications to the design of duplicator servomechanisms, pulse amplifiers, and servo systems operating on noisy inputs are pointed out. An Appendix contains a discussion of computer techniques including the absolute value unit and the generation of error responses by an extension of Becks method.
- Operations Research