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On the definition and application of the sensitivity function

✍ Scribed by Eliezer Kreindler

Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
406 KB
Volume
285
Category
Article
ISSN
0016-0032

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✦ Synopsis

An exposition is presented of the application and scope of a new interpretation of the classical sensitivity function S~.~'(s) that is used to evaluate the e~ctiveness of the over-all feedback system T(s) in reducing sensitivity to parameter deviations in the plant P(s). It is shown that this interpretation, due to Cruz and Perhins, when considered as the basic definition of the sensitivity function, is of a much bvoozler application than the classical definition: it encompasses regulator as well as serve systems, scalar time-invariant plant-parameter deviations as well as time-vavying multiparameter variations, single-loop and multiloop systems, sensitivity to plant parameters as well as to disturbances. Discussion is confined to linear timeinvariant systems, but the new concept of the sensitivity function is also applicable to timevarying and nonlinear systems.

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