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Controller Bumpless Transfer Integral Offset Tool

Calculate controller bumpless transfer integral offset from explicit caller-supplied inputs.

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Description

Return the integral term needed for a supplied bumpless output balance.

Controller calculations combine state, gain, error and reset conventions. A one-step update or output-balance target describes one part of a controller and does not implement, tune or establish the stability of a complete plant-control loop.

Return the integral term needed for a supplied bumpless output balance.

When to use this tool

Use Controller Bumpless Transfer Integral Offset when checking one explicit controller-state or term update.

How to use the tool and how it works

  1. Enter currentOutput, proportional, derivative, feedforward. 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 requiredIntegral. Use the output convention below.

Return the integral term needed for a supplied bumpless output balance. requiredIntegral = currentOutput-proportional-derivative-feedforward.1

Input fieldMeaning and unitsAccepted input
currentOutputCurrent OutputRequired. Finite number.
proportionalProportionalRequired. Finite number.
derivativeDerivativeRequired. Finite number.
feedforwardFeedforwardRequired. Finite number.
Output fieldInterpretationReturned shape
requiredIntegralRequired IntegralRequired. Finite number.
json
{
  "input": {
    "currentOutput": 20,
    "proportional": 5,
    "derivative": 2,
    "feedforward": 3
  },
  "output": {
    "requiredIntegral": 10
  }
}

Limitations and assumptions

  • The result is an algebraic target, not a controller mutation or guarantee of a safe transition.
  • 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 the full controller and plant model, numerical implementation and qualified verification for actual operation or transitions.

References

  1. Calculation and input contract: cybernetics/controller-bumpless-transfer-integral-offset — tool.io

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