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Le filtre de Kalman étendu à grand-gain adaptatif et ses applications

2010

The work concerns the “observability problem”—the reconstruction of a dynamic process’s full state from a partially measured state— for nonlinear dynamic systems. The Extended Kalman Filter (EKF) is a widely-used observer for such nonlinear systems. However it suffers from a lack of theoretical justifications and displays poor performance when the estimated state is far from the real state, e.g. due to large perturbations, a poor initial state estimate, etc. . . We propose a solution to these problems, the Adaptive High-Gain (EKF). Observability theory reveals the existence of special representations characterizing nonlinear systems having the observability property. Such representations ar…

Nonlinear observersFiltre de KalmanObservateur continu/discretSystèmes non linéairesImplémentation temps réelAdaptive high-gain observerObservateurs non linéairesDC-motorRiccati equationEquation de RiccatiContinuous-discrete observer[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering[ INFO.INFO-OH ] Computer Science [cs]/Other [cs.OH]Nonlinear systemsReal-time implementationMoteur DCExtended Kalman filter[INFO.INFO-AU] Computer Science [cs]/Automatic Control EngineeringObservateur à grand-gain adaptatif
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