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.
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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