// multi-utility computation suite · offline · instant · precise
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│ computation suite │
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eng.state-space-observability Calculator
Calculates the observability matrix for a state-space system and checks whether the full state can be estimated from outputs. A system is observable if the observability matrix has full rank — this is the prerequisite for designing a state observer (Luenberger observer or Kalman filter).
Inputs
A11
Reference formula or conversion factor shown for context.
A12
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A21
Reference formula or conversion factor shown for context.
A22
Reference formula or conversion factor shown for context.
C1
Reference formula or conversion factor shown for context.
C2
Reference formula or conversion factor shown for context.
Results
observability matrix det
The value at the specified point or condition.
observability rank
The position in an ordered list, from best to worst or lowest to highest.
system observable?
Reference formula or conversion factor shown for context.
C row
Reference formula or conversion factor shown for context.
CA row
Reference formula or conversion factor shown for context.
O = [C; CA; CA²; ...]
Reference formula or conversion factor shown for context.