Grid-based nonlinear estimation and its applications /
General Material Designation
[Book]
First Statement of Responsibility
Bin Jia (Intelligent Fusion Technology, Inc., Germantown, Maryland, USA), Ming Xin (Department of Mechanical and Aerospace Engineering [University of Missouri]).
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton, FL :
Name of Publisher, Distributor, etc.
CRC Press, Taylor & Francis Group,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
GENERAL NOTES
Text of Note
"A science publishers book."
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover; Title Page; Copyright Page; Table of Contents; Preface; 1: Introduction; 1.1 Random Variables and Random Process; 1.2 Gaussian Distribution; 1.3 Bayesian Estimation; References; 2: Linear Estimation of Dynamic Systems; 2.1 Linear Discrete-Time Kalman Filter; 2.2 Information Kalman Filter; 2.3 The Relation Between the Bayesian Estimation and Kalman Filter; 2.4 Linear Continuous-Time Kalman Filter; References; 3: Conventional Nonlinear Filters; 3.1 Extended Kalman Filter; 3.2 Iterated Extended Kalman Filter; 3.3 Point-Mass Filter; 3.4 Particle Filter; 3.5 Combined Particle Filter
Text of Note
3.5.1 Marginalized Particle Filter3.5.2 Gaussian Filter Aided Particle Filter; 3.6 Ensemble Kalman Filter; 3.7 Zakai Filter and Fokker Planck Equation; 3.8 Summary; References; 4: Grid-based Gaussian Nonlinear Estimation; 4.1 General Gaussian Approximation Nonlinear Filter; 4.2 General Gaussian Approximation Nonlinear Smoother; 4.3 Unscented Transformation; 4.4 Gauss-Hermite Quadrature; 4.5 Sparse-Grid Quadrature; 4.6 Anisotropic Sparse-Grid Quadrature and Accuracy Analysis; 4.6.1 Anisotropic Sparse-Grid Quadrature; 4.6.2 Analysis of Accuracy of the Anisotropic Sparse-Grid Quadrature
Text of Note
4.7 Spherical-Radial Cubature4.8 The Relations Among Unscented Transformation, Sparse-Grid Quadrature, and Cubature Rule; 4.8.1 From the Spherical-Radial Cubature Rule to the Unscented Transformation; 4.8.2 The Connection between the Quadrature Rule and the Spherical Rule; 4.8.3 The Relations Between the Sparse-Grid Quadrature Rule and the Spherical-Radial Cubature Rule; 4.9 Positive Weighted Quadrature; 4.10 Adaptive Quadrature; 4.10.1 Global Measure of Nonlinearity for Stochastic Systems; 4.10.2 Local Measure of Nonlinearity for Stochastic Systems; 4.11 Summary; References
Grid-based Nonlinear Estimation and its Applications presents new Bayesian nonlinear estimation techniques developed in the last two decades. Grid-based estimation techniques are based on efficient and precise numerical integration rules to improve performance of the traditional Kalman filtering based estimation for nonlinear and uncertainty dynamic systems. The unscented Kalman filter, Gauss-Hermite quadrature filter, cubature Kalman filter, sparse-grid quadrature filter, and many other numerical grid-based filtering techniques have been introduced and compared in this book. Theoretical analysis and numerical simulations are provided to show the relationships and distinct features of different estimation techniques. To assist the exposition of the filtering concept, preliminary mathematical review is provided. In addition, rather than merely considering the single sensor estimation, multiple sensor estimation, including the centralized and decentralized estimation, is included. Different decentralized estimation strategies, including consensus, diffusion, and covariance intersection, are investigated. Diverse engineering applications, such as uncertainty propagation, target tracking, guidance, navigation, and control, are presented to illustrate the performance of different grid-based estimation techniques.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Taylor & Francis
Stock Number
9781315193212
OTHER EDITION IN ANOTHER MEDIUM
Title
Grid-based nonlinear estimation and its applications.