Closed Loop Transfer Function Block Diagram - Search
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  1. AI Generated answer

    In control theory, a closed-loop transfer function is a mathematical representation that describes the behavior of a control system with feedback. It shows how the input signal is transformed into the output signal when feedback is applied to the system.

    The closed-loop transfer function is derived from the block diagram of the control system. It is typically represented as the ratio of the output signal (Y(s)) to the input signal (X(s)) in the Laplace domain. The general form of the closed-loop transfer function is given by:

    [ \frac{Y(s)}{X(s)} = \frac{G(s)}{1 + G(s)H(s)} ]

    where:

    • (G(s)) is the forward path transfer function.

    • (H(s)) is the feedback path transfer function.

    Derivation

    To derive the closed-loop transfer function, consider the following steps:

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