2000
DOI: 10.1016/s0005-1098(00)00089-3
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New developments in state estimation for nonlinear systems

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Cited by 885 publications
(587 citation statements)
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“…In order to achieve higher estimation accuracy with reasonable computational load, several nonlinear filters have been introduced. These include the extended Kalman filter (EKF) [6], the unscented Kalman filter (UKF) [7] and its variants [8], the cubature Kalman filter (CKF) [9,10], the Gauss-Hermite filter (GHF) [11,12], the sparse-grid Gauss-Hermite filter (SGHF) [13], the central difference filter (CDF) [14], the divided difference filter (DDF) [15] etc.…”
Section: Introductionmentioning
confidence: 99%
“…In order to achieve higher estimation accuracy with reasonable computational load, several nonlinear filters have been introduced. These include the extended Kalman filter (EKF) [6], the unscented Kalman filter (UKF) [7] and its variants [8], the cubature Kalman filter (CKF) [9,10], the Gauss-Hermite filter (GHF) [11,12], the sparse-grid Gauss-Hermite filter (SGHF) [13], the central difference filter (CDF) [14], the divided difference filter (DDF) [15] etc.…”
Section: Introductionmentioning
confidence: 99%
“…The LocalDetector provides the functionalities of decentralized anomaly detection running on the local sensor nodes. In current version of SecMAS, we have implemented the the second-order divided difference filtering (DDF-2) [11] state estimation algorithm, the sequential probability ratio testing (SPRT) [12] based decision strategy. The GlobalDetector provides the functionalities of centralized anomaly detection.…”
Section: Anomaly Detection Based Security Guaranteementioning
confidence: 99%
“…In the past three decades, numerous successful applications of the EKF have been reported in the literature, but some intractable difficulties have also been encountered. For example, the use of EKF was reported in some applications to lead to biased estimates or even divergence, due to stepwise linearization (Julier & Uhlmann, 2004;Norgaard, Poulsen, & Ravn, 2000;Romanenko & Castro, 2004), inappropriate initial state estimates (Glielmo, Setola, & Vasca, 1999;Ljung, 1979;Reif, Sonnemann, & Unbehauen, 1998), unknown covariance matrices of involved noise, or even the Gaussianity assumption of involved noise (Arulampalam, Maskell, Gordon, & Clapp, 2002;Chen, Morris, & Martin, 2005), etc. To address such problems, some other nonlinear filtering methods, especially unscented Kalman filtering (UKF) (Julier & Uhlmann, 2004) and particle filtering (PF) (Arulampalam et al, 2002), have been tested for a variety of state estimation applications, gaining increasing popularity.…”
Section: Conclusive Remarksmentioning
confidence: 99%
“…Since 1994 he has been a Professor at the Technical University of Crete, Chania, Greece. He was a Visiting Professor at the Politecnico di Milano, Italy (1982), at the Ecole Nationale des Ponts et Chaussées, Paris (1985-1987, and at MIT, Cambridge (1997, 2000; and a Visiting Scholar at the University of Minnesota (1991Minnesota ( , 1993, the University of Southern California (1993) and the University of California, Berkeley (1993Berkeley ( , 1997Berkeley ( , 2000.…”
Section: Conclusive Remarksmentioning
confidence: 99%