What’s on the Nyquist Criterion poster
A definition and 6 facts worth remembering.
Nyquist decides closed-loop stability by counting how the open-loop plot encircles the critical point.
- Unstable roots = encirclements plus open-loop ones
- Count clockwise encirclements of minus one
- Zero unstable roots means a stable closed loop
- It works for unstable and time-delayed plants
- Gain margin is where the plot crosses the real axis
- Closest approach to the point is the true margin
- Stable plant, stable loop — no encirclement at all
- Vector margin — closest approach to the point
- Pure time delay — rotates the plot
- A pure time delay adds phase lag with no gain change, and eats margin fast.
Nyquist is the general test. Bode gain and phase margins are a convenient special case of it.
Questions about the Nyquist Criterion poster
- What’s on the Nyquist Criterion poster?
- A definition and 6 facts worth remembering. Nyquist decides closed-loop stability by counting how the open-loop plot encircles the critical point. Unstable roots = encirclements plus open-loop ones; Count clockwise encirclements of minus one; Zero unstable roots means a stable closed loop; It works for unstable and time-delayed plants; Gain margin is where the plot crosses the real axis; Closest approach to the point is the true margin; Stable plant, stable loop — no encirclement at all; Vector margin — closest approach to the point; Pure time delay — rotates the plot; A pure time delay adds phase lag with no gain change, and eats margin fast.. Nyquist is the general test. Bode gain and phase margins are a convenient special case of it.
- Who is the Nyquist Criterion poster for?
- Nyquist Criterion belongs to the Mechanical Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning control systems can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Nyquist Criterion poster?
- When Bode margins do not apply: unstable plants, time delays, odd shapes. A wall chart earns its place by being glanceable from where the work is happening, so Nyquist Criterion belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
- What other posters go with Nyquist Criterion?
- Block Diagram Algebra, Gain & Phase Margin and First-Order Response sit alongside Nyquist Criterion in the Mechanical Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Block Diagram AlgebraGain & Phase MarginFirst-Order Response
- Is the Nyquist Criterion poster free to download and print?
- Yes. Nyquist Criterion downloads as a free PDF with no account, no email and no watermark, like everything else in the Mechanical Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Nyquist Criterion poster print at?
- Nyquist Criterion is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Nyquist Criterion loses nothing.Printing guide
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