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Actuator Rate Limit One Step Gap Tool

Calculate actuator rate limit one step gap from explicit caller-supplied inputs.

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Description

Rate-limit one actuator-command step with asymmetric rise/fall bounds.

Control boundaries and stability terms depend on state history, sign conventions and the full system dynamics. A finite scalar factor, one pole or one frequency sample is not sufficient to establish safe closed-loop behavior.

Rate-limit one actuator-command step with asymmetric rise/fall bounds.

When to use this tool

Use Actuator Rate Limit One Step Gap when checking a supplied saturation, hysteresis or local stability condition.

How to use the tool and how it works

  1. Enter current, requested, riseRate, fallRate, step. 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 next, unmet. Use the output convention below.

Rate-limit one actuator-command step with asymmetric rise/fall bounds. Require nonnegative rates/step; clamp requested between current-fallRate*step and current+riseRate*step, returning next and unmet = requested-next.1

Input fieldMeaning and unitsAccepted input
currentSupplied current state or value under the stated update convention.Required. Finite number.
requestedRequestedRequired. Finite number.
riseRateRise RateRequired. Finite number; minimum 0.
fallRateFall RateRequired. Finite number; minimum 0.
stepStep duration in the same time unit used by rates and time constants.Required. Finite number; minimum 0.
Output fieldInterpretationReturned shape
nextNextRequired. Finite number.
unmetUnmetRequired. Finite number.
json
{
  "input": {
    "current": 10,
    "requested": 20,
    "riseRate": 2,
    "fallRate": 3,
    "step": 2
  },
  "output": {
    "next": 14,
    "unmet": 6
  }
}

Limitations and assumptions

  • This limits rate rather than absolute amplitude; physical actuator response and safety are not verified.
  • 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

Analyze the complete dynamic system and practical constraints before interpreting a local result as robust or safe operation.

References

  1. Calculation and input contract: cybernetics/actuator-rate-limit-one-step-gap — tool.io

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