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 should always remember that the work of art is invariably the creation of a new world, so that the first thing we should do is to study that new world as closely as possible, approaching it as something brand new, having no obvious connection with the worlds we already know. When this new world has been closely studied, then and only then let us examine its links with other worlds, other branches of knowledge.”
    —Vladimir Nabokov (1899–1977)

    “We say that the hour of death cannot be forecast, but when we say this we imagine that hour as placed in an obscure and distant future. It never occurs to us that it has any connection with the day already begun or that death could arrive this same afternoon, this afternoon which is so certain and which has every hour filled in advance.”
    —Marcel Proust (1871–1922)

    “Et in Arcadia ego.
    [I too am in Arcadia.]”
    —Anonymous, Anonymous.

    Tomb inscription, appearing in classical paintings by Guercino and Poussin, among others. The words probably mean that even the most ideal earthly lives are mortal. Arcadia, a mountainous region in the central Peloponnese, Greece, was the rustic abode of Pan, depicted in literature and art as a land of innocence and ease, and was the title of Sir Philip Sidney’s pastoral romance (1590)

    “Lucretius
    Sings his great theory of natural origins and of wise conduct; Plato
    smiling carves dreams, bright cells
    Of incorruptible wax to hive the Greek honey.”
    —Robinson Jeffers (1887–1962)