Plant Poles & ZerosWhere the poles sit is the whole story of how a system behaves.Mechanical EngineeringA transfer function is output over input in the s domain, andits poles decide how the system behaves.STABLEevery pole left of the axisMARGINALpoles sitting on the axisSYSTEM ORDERthe number of polesPoles are the roots of the denominatorAny pole with a positive real part is unstableDistance left of the axis sets the decay rateDistance along the axis sets the ringing frequencyZeros shape the response, not the stabilityA right-half-plane zero makes the output dip firstLOOK FOR ITA pole at minus two decays to a third of its value in half a second.The poles come from the physics of the plant. Moving them is the entirejob of controller design.Plant Poles & Zeroslearnposters.com
Plant Poles & Zeros — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Plant Poles & Zeros poster

A definition and 6 facts worth remembering.

A transfer function is output over input in the s domain, and its poles decide how the system behaves.

The poles come from the physics of the plant. Moving them is the entire job of controller design.

Questions about the Plant Poles & Zeros poster

What’s on the Plant Poles & Zeros poster?
A definition and 6 facts worth remembering. A transfer function is output over input in the s domain, and its poles decide how the system behaves. Poles are the roots of the denominator; Any pole with a positive real part is unstable; Distance left of the axis sets the decay rate; Distance along the axis sets the ringing frequency; Zeros shape the response, not the stability; A right-half-plane zero makes the output dip first; Stable — every pole left of the axis; Marginal — poles sitting on the axis; System order — the number of poles; A pole at minus two decays to a third of its value in half a second.. The poles come from the physics of the plant. Moving them is the entire job of controller design.
Who is the Plant Poles & Zeros poster for?
Plant Poles & Zeros 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 Plant Poles & Zeros poster?
Reading a model, and understanding what a controller is actually moving. A wall chart earns its place by being glanceable from where the work is happening, so Plant Poles & Zeros belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
What other posters go with Plant Poles & Zeros?
Poles and Response, Block Diagram Algebra and Gain & Phase Margin sit alongside Plant Poles & Zeros 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.Poles and ResponseBlock Diagram AlgebraGain & Phase Margin
Is the Plant Poles & Zeros poster free to download and print?
Yes. Plant Poles & Zeros 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 Plant Poles & Zeros poster print at?
Plant Poles & Zeros 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 Plant Poles & Zeros loses nothing.Printing guide

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