Stability of Feedback (1): Stable, Oscillation, and Unstable Explained

Stability of Feedback (1): Stable, Oscillation, and Unstable Explained

🎙 Vincent Chang 👥 2K 📅 November 14, 2020 ⏱ 14 min 👁 510 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

feedbackstabilityloop gainoscillationphase margin

Summary

This lecture introduces the concept of stability in feedback amplifiers. It begins with the ideal feedback structure, defining the loop gain as the product of the open-loop gain and feedback factor. The discussion then extends to frequency-dependent transfer functions, where the loop gain becomes a complex quantity. The key point is the frequency at which the phase shift reaches -180 degrees, denoted as omega_180. At this frequency, the feedback becomes positive, and the stability of the amplifier depends on the magnitude of the loop gain: if it is less than one, the amplifier is stable; if equal to one, it oscillates; if greater than one, it becomes unstable. The lecture emphasizes the importance of understanding this concept for designing stable feedback amplifiers.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides a clear and systematic explanation of the stability criteria for feedback amplifiers. It builds the argument step by step, starting from the ideal feedback structure and progressing to the frequency-dependent behavior. The use of Euler’s formula to show that a phase of -180 degrees makes the loop gain a negative real number is particularly effective. The three scenarios (magnitude less than, equal to, or greater than one) are well-illustrated, and the conclusion that stability requires the loop gain magnitude to be less than one at omega_180 is logically derived. The presentation is didactic and reinforces key concepts, making it valuable for students.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is adequate for an introductory tutorial. The content is based on standard control theory and feedback amplifier principles, but no external sources are cited. The title accurately reflects the content, and the video stays on topic throughout. No comments were provided for analysis.

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Title / Content Match

The title accurately reflects the content, which explains the stability of feedback amplifiers with a focus on stable, oscillation, and unstable conditions.

Quality & Reliability

7/10

The content is technically accurate and well-structured, but it lacks citations and references to external sources. The explanations are clear and based on established theory, but the absence of sources reduces the score.

Key Moments

Contribution & Novelties

This video provides a clear pedagogical introduction to the stability of feedback amplifiers, focusing on the concept of loop gain and the critical frequency omega_180. It effectively explains why a negative feedback amplifier can become unstable at high frequencies due to phase shift. The novelty lies in its step-by-step approach, making the topic accessible to students.

Pour aller plus loin :

92 words

Radar Profile

The radar profile shows a balanced performance across all dimensions, with slightly lower scores in quantity of information and technical level, indicating a focused but not overly deep treatment. The high quality and reliability scores reflect the accurate and clear presentation.

Reliability 7/10