Example · Undergraduate

Definition: Luenberger observer

Terms

TermThis exampleWhy
observer ✓ A Luenberger observer $\dot{\hat{x}} = A \hat{x} + B u + L (y - C \hat{x})$, for $\dot{x} = A x + B u$ and $y = C x$, is an observer when $A - L C$ is Hurwitz, because then its estimation error converges to zero.
estimator ✓ A Luenberger observer is an observer, and so an estimator, because it estimates the current state of a deterministic system from its inputs and outputs.
predictor ✗ A Luenberger observer is not a predictor, because it estimates the present, not the future.

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