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Feedback Delay Sample Count Label

Label a discrete feedback delay and convert an explicit sample period to seconds without estimating latency from signals.

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Description

Convert supplied discrete delay samples to seconds and a label.

Control terms depend on error sign, units, sample timing, saturation direction and state conventions. Hysteresis retains state between thresholds, while deadband mapping and output clamping describe different operations. A negative loop-sign product or small scalar derivative does not establish closed-loop stability or safe operation.

Convert supplied discrete delay samples to seconds and a label.

When to use this tool

Use Feedback Delay Sample Count Label when you already have delaySamples, samplePeriodSeconds and need to convert supplied discrete delay samples to seconds and a label.

How to use the tool and how it works

  1. Enter delaySamples, samplePeriodSeconds. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read delaySeconds, label. Use the output convention below.

Require delaySamples a nonnegative safe integer and samplePeriodSeconds>0; return samples*period and the stated sample/period label.1

Input fieldMeaning and unitsAccepted input
delaySamplesNonnegative safe count under a constant sample-period convention.Required. Safe integer; minimum 0.
samplePeriodSecondsSample Period SecondsRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
delaySecondsDelay SecondsRequired. Finite number.
labelLabelRequired. Text; maximum UTF-16 length 8192.
json
{
  "input": {
    "delaySamples": 3,
    "samplePeriodSeconds": 0.02
  },
  "output": {
    "delaySeconds": 0.06,
    "label": "3 samples at 0.02 s/sample"
  }
}

Limitations and assumptions

  • Zero samples gives zero delay. Constant sampling and timing bases are assumed; no actual latency, fractional delay or stability margin is measured.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete plant, controller, actuator and timing model with verified operating constraints for control decisions. Check interactions among saturation, integrator state, gains and delays; individual algebraic terms do not tune a controller or validate system stability or safety.

References

  1. Calculation and input contract: cybernetics/feedback-delay-sample-count-label — tool.io

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