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Everything about Closed-loop pole

Positions of a closed-loop transfer function's poles in the s-plane

In systems theory, closed-loop poles are the positions of the poles of a closed-loop transfer function in the s-plane. The open-loop transfer function is equal to the product of all transfer function blocks in the forward path in the block diagram. The closed-loop transfer function is obtained by dividing the open-loop transfer function by the sum of one and the product of all transfer function blocks throughout the negative feedback loop. The closed-loop transfer function may also be obtained by algebraic or block diagram manipulation. Once the closed-loop transfer function is obtained for the system, the closed-loop poles are obtained by solving the characteristic equation. The characteristic equation is nothing more than setting the denominator of the closed-loop transfer function to zero. Wikipedia →

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  1. Read the overview: Closed-loop poleA 5-minute orientation
  2. Skim a recent paper: Closed-Loop Pole Analysis via Output Impedance in Miller-Compensated AmplifiersInfluential work since 2022
  3. Pick up a classic book: American FilmThe most-reprinted book on the subject
  4. Read the landmark paper: Pole-zero cancellations and closed-loop properties of an H∞ mixed sensitivity design problemCited 58 times
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🗂️ The subject at a glance

  1. Closed-loop poles in control theory
  2. Finding closed-loop poles

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