Examples
Examples
Try the starting example
- Plant numerator
- 1
- Plant denominator
- 1,1
- Controller numerator
- 2
- Controller denominator
- 1
- Sensor numerator
- 1
- Sensor denominator
- 1
- Feedback sign: -1 negative, +1 positive
- -1
- Closed-loop numerator coefficients (JSON)
- [2]
- Closed-loop denominator coefficients (JSON)
- [1,3]
Try another scenario
- Plant numerator
- [2]
- Plant denominator
- [1, 1]
- Controller numerator
- [2]
- Controller denominator
- [1]
- Sensor numerator
- [1]
- Sensor denominator
- [1]
- Feedback sign: -1 negative, +1 positive
- -1
- Closed-loop numerator coefficients (JSON)
- [4]
- Closed-loop denominator coefficients (JSON)
- [1,5]
Calculation method
Calculation method
Closed-loop numerator coefficients (JSON)
Output/reference = PC/(1−sign×PCH); multiply rational polynomial coefficients without unstable pole-zero cancellation.
Closed-loop denominator coefficients (JSON)
Output/reference = PC/(1−sign×PCH); multiply rational polynomial coefficients without unstable pole-zero cancellation.
Symbols and units
- a
- Plant numerator
- b
- Plant denominator
- c
- Controller numerator
- d
- Controller denominator
- e
- Sensor numerator
- f
- Sensor denominator
- g
- Feedback sign: -1 negative, +1 positive
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; Output/reference = PC/(1−sign×PCH); multiply rational polynomial coefficients without unstable pole-zero cancellation. 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.