Examples
Examples
Try the starting example
- Static step gain
- 2
- Time constant (seconds)
- 3
- Pure delay (seconds)
- 1
- Observation times (seconds)
- 0,1,2,4,7,13
- Step response samples (JSON)
- [0,0,0.566937378852,1.26424111766,1.72932943353,1.96336872222]
- Exact 2% settling time (seconds)
- 12.736069
- 10–90% rise duration (seconds)
- 6.591674
Try another scenario
- Static step gain
- 3
- Time constant (seconds)
- 3
- Pure delay (seconds)
- 1
- Observation times (seconds)
- [0, 1, 2, 4, 7, 13]
- Step response samples (JSON)
- [0,0,0.850406068279,1.89636167649,2.59399415029,2.94505308333]
- Exact 2% settling time (seconds)
- 12.736069
- 10–90% rise duration (seconds)
- 6.591674
Calculation method
Calculation method
Step response samples (JSON)
Zero-initial-state delayed first-order unit-step response K(1−e^(−(t−delay)/τ)); settle at 2% relative to nonzero final magnitude.
Exact 2% settling time (seconds)
Zero-initial-state delayed first-order unit-step response K(1−e^(−(t−delay)/τ)); settle at 2% relative to nonzero final magnitude.
10–90% rise duration (seconds)
Zero-initial-state delayed first-order unit-step response K(1−e^(−(t−delay)/τ)); settle at 2% relative to nonzero final magnitude.
Symbols and units
- a
- Static step gain
- b
- Time constant (seconds)
- c
- Pure delay (seconds)
- d
- Observation times (seconds)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Zero-initial-state delayed first-order unit-step response K(1−e^(−(t−delay)/τ)); settle at 2% relative to nonzero final magnitude. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.