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CALCULATORS / CONTROL SYSTEMS AND DYNAMIC RESPONSE

Control sampling and delay budget calculator

Sample-period and Nyquist screen; no anti-alias filter design.

controls-sampling.napkin / editable
✓ checks pass

SCENARIO COMPARISON

Compare the numbers.

This source describes an analytical model. Its quantities and checks are the view.

Scenarioperiodsratio
0.00110
0.001258

All calculated quantities are listed with the inputs. Switch to Source to inspect the equations.

SCENARIOS / CALCULATED VALUESSAME SOURCE

Change an input to see the consequences.

sample rate margin10.00 ✓ passes

BASELINE INPUTS

CALCULATED

period0.001 s
ratio10

Edits change the baseline source.

Calculated from your source · not saved
Baseline · Baseline
sample rate margin10.00 ✓ passes
alternative · alternative
sample rate margin8.00 × fails

Illustrative first-order example. Checks are editable requirements, not design standards. The broader topic may require additional equations, data, and validation.

Formula and units

This example uses the following equations. Input names and units match the editable source above.

period
period = 1/sampleFrequency [s]
ratio
ratio = sampleFrequency/bandwidth

Original worked example

These are the baseline values in the downloadable source. Edits above let you test your own values.

Given

sample frequency
1000 Hz
bandwidth
100 Hz

Calculated

period
0.001 s
ratio
10

Assumptions and limits

Sample-period and Nyquist screen; no anti-alias filter design.

The requirement checks use the limits written in this example. Passing a check does not establish that the model covers every load, material behavior, or operating condition in a real design.

Download this .napkin example ↓

Take it further with your agent

Napkin keeps the inputs, equations, checks and assumptions together in one study. Your agent sets it up; you change the numbers.

Try with Claude ↗

codex 'Use Napkin (https://napkin.engineering/mcp, or the local Napkin plugin) to build a study: Control sampling and delay budget. Inputs: plant bandwidth; sample rate; computation and actuator delays. Outputs: delay phase; timing budget. Model scope: Declared linear or low-order nonlinear plant models. Read napkin_capabilities and the current snapshot. Ask me for the values that matter, label assumptions with units, author .napkin source, validate it and apply it with napkin_source using the current revision, then open the study. Add checks for the limits I supply. Keep unsupported analyses explicit.'

Claude needs the Napkin connector; Codex needs the Napkin plugin. Set up your agent ↗

The broader study

The topic brief below describes the broader scope. The worked example above states the particular calculation it implements.

  • Inputs: plant bandwidth, sample rate, computation and actuator delays
  • Outputs: delay phase, timing budget
  • Modes: calculate, compare, sweep
  • Drawing: Response and stability plots

EXECUTABLE WORKED EXAMPLE · FIRST-ORDER MODEL · CHECK THE SCOPE & ASSUMPTIONS

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