Asymptotic Gain Model - Connection With Classical Feedback Theory

Connection With Classical Feedback Theory

Classical feedback theory neglects feedforward (G0). If feedforward is dropped, the gain from the asymptotic gain model becomes

while in classical feedback theory, in terms of the open loop gain A, the gain with feedback (closed loop gain) is:

Comparison of the two expressions indicates the feedback factor βFB is:

while the open-loop gain is:

If the accuracy is adequate (usually it is), these formulas suggest an alternative evaluation of T: evaluate the open-loop gain and G and use these expressions to find T. Often these two evaluations are easier than evaluation of T directly.

Read more about this topic:  Asymptotic Gain Model

Famous quotes containing the words connection with, connection, classical and/or theory:

    We live in a world of things, and our only connection with them is that we know how to manipulate or to consume them.
    Erich Fromm (1900–1980)

    Children of the same family, the same blood, with the same first associations and habits, have some means of enjoyment in their power, which no subsequent connections can supply; and it must be by a long and unnatural estrangement, by a divorce which no subsequent connection can justify, if such precious remains of the earliest attachments are ever entirely outlived.
    Jane Austen (1775–1817)

    Against classical philosophy: thinking about eternity or the immensity of the universe does not lessen my unhappiness.
    Mason Cooley (b. 1927)

    ... the first reason for psychology’s failure to understand what people are and how they act, is that clinicians and psychiatrists, who are generally the theoreticians on these matters, have essentially made up myths without any evidence to support them; the second reason for psychology’s failure is that personality theory has looked for inner traits when it should have been looking for social context.
    Naomi Weisstein (b. 1939)