Reduced-Order Kalman Filtering with Incomplete Observability

作者: Katsub Yonezawa

DOI: 10.2514/3.55985

关键词: Invariant extended Kalman filterExtended Kalman filterMathematicsKalman filterControl theoryObservabilityFast Kalman filterEnsemble Kalman filterFiltering problemAlpha beta filterGeneral Engineering

摘要: Kalman filtering is considered with reference to linear stochastic dynamic systems without complete observability. It shown that the canonical decomposition theorem can be extended case and matrix Riccati equation of filter order-reducible if some states are not observable. The inclusion unobservable in makes 'asymptotically' observable these dynamically connected asymptotically stable. reduced-order saves computation time when compared conventional filter.

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