A method is shown for the determination of gain settings for specified time responses from the open loop frequency responses. It is based on the use of the contour of constant closed loop phase angle, α = −90°. The method primarily yields the value of the static loop gain or velocity constant which is required so that the closed loop response will have a specified value of relative damping. For most systems, the solution is simple and direct.
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References
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RavenF. H.‘Automatic Control Engineering’, 2nd Edition, 1968, McGraw-Hill, pp 289–296, 310–316 and 340–345, also pp 281–282.
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HindE. C.‘Closed Loop Transient Response from the Open Loop Frequency Response’. Measurement and Control, 11(8), 302–308, August 1978.
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HarrisonH. L.BollingerJ. G.‘Introduction to Automatic Controls’, 2nd Edition, International Text Book Co., 1969, pp 254–255 and 246–248.
