State Estimation for Nonlinear Continuous–Discrete Stochastic Systems

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Publisher : Springer Nature
ISBN 13 : 3031613716
Total Pages : 813 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis State Estimation for Nonlinear Continuous–Discrete Stochastic Systems by : Gennady Yu. Kulikov

Download or read book State Estimation for Nonlinear Continuous–Discrete Stochastic Systems written by Gennady Yu. Kulikov and published by Springer Nature. This book was released on with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt:

State Estimation for Nonlinear Continuous–Discrete Stochastic Systems

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Author :
Publisher : Springer
ISBN 13 : 9783031613708
Total Pages : 0 pages
Book Rating : 4.6/5 (137 download)

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Book Synopsis State Estimation for Nonlinear Continuous–Discrete Stochastic Systems by : Gennady Yu. Kulikov

Download or read book State Estimation for Nonlinear Continuous–Discrete Stochastic Systems written by Gennady Yu. Kulikov and published by Springer. This book was released on 2024-08-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the problem of accurate state estimation in nonlinear continuous-time stochastic models with additive noise and discrete measurements. Its main focus is on numerical aspects of computation of the expectation and covariance in Kalman-like filters rather than on statistical properties determining a model of the system state. Nevertheless, it provides the sound theoretical background and covers all contemporary state estimation techniques beginning at the celebrated Kalman filter, including its versions extended to nonlinear stochastic models, and till the most advanced universal Gaussian filters with deterministically sampled mean and covariance. In particular, the authors demonstrate that, when applying such filtering procedures to stochastic models with strong nonlinearities, the use of adaptive ordinary differential equation solvers with automatic local and global error control facilities allows the discretization error—and consequently the state estimation error—to be reduced considerably. For achieving that, the variable-stepsize methods with automatic error regulation and stepsize selection mechanisms are applied to treating moment differential equations arisen. The implemented discretization error reduction makes the self-adaptive nonlinear Gaussian filtering algorithms more suitable for application and leads to the novel notion of accurate state estimation. The book also discusses accurate state estimation in mathematical models with sparse measurements. Of special interest in this regard, it provides a means for treating stiff stochastic systems, which often encountered in applied science and engineering, being exemplified by the Van der Pol oscillator in electrical engineering and the Oregonator model of chemical kinetics. Square-root implementations of all Kalman-like filters considered and explored in this book for state estimation in Ill-conditioned continuous–discrete stochastic systems attract the authors’ particular attention. This book covers both theoretical and applied aspects of numerical integration methods, including the concepts of approximation, convergence, stiffness as well as of local and global errors, suitably for applied scientists and engineers. Such methods serve as a basis for the development of accurate continuous–discrete extended, unscented, cubature and many other Kalman filtering algorithms, including the universal Gaussian methods with deterministically sampled expectation and covariance as well as their mixed-type versions. The state estimation procedures in this book are presented in the fashion of complete pseudo-codes, which are ready for implementation and use in MATLAB® or in any other computation platform. These are examined numerically and shown to outperform traditional variants of the Kalman-like filters in practical prediction/filtering tasks, including state estimations of stiff and/or ill-conditioned continuous–discrete nonlinear stochastic systems.

State Estimation of Nonlinear Continuous-discrete Time Systems

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Author :
Publisher : 1971 [c1972]
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (27 download)

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Book Synopsis State Estimation of Nonlinear Continuous-discrete Time Systems by : Hany Ismail El-Zorkany

Download or read book State Estimation of Nonlinear Continuous-discrete Time Systems written by Hany Ismail El-Zorkany and published by 1971 [c1972]. This book was released on 1971 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal State Estimation

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Publisher : John Wiley & Sons
ISBN 13 : 0470045337
Total Pages : 554 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Optimal State Estimation by : Dan Simon

Download or read book Optimal State Estimation written by Dan Simon and published by John Wiley & Sons. This book was released on 2006-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bottom-up approach that enables readers to master and apply the latest techniques in state estimation This book offers the best mathematical approaches to estimating the state of a general system. The author presents state estimation theory clearly and rigorously, providing the right amount of advanced material, recent research results, and references to enable the reader to apply state estimation techniques confidently across a variety of fields in science and engineering. While there are other textbooks that treat state estimation, this one offers special features and a unique perspective and pedagogical approach that speed learning: * Straightforward, bottom-up approach begins with basic concepts and then builds step by step to more advanced topics for a clear understanding of state estimation * Simple examples and problems that require only paper and pen to solve lead to an intuitive understanding of how theory works in practice * MATLAB(r)-based source code that corresponds to examples in the book, available on the author's Web site, enables readers to recreate results and experiment with other simulation setups and parameters Armed with a solid foundation in the basics, readers are presented with a careful treatment of advanced topics, including unscented filtering, high order nonlinear filtering, particle filtering, constrained state estimation, reduced order filtering, robust Kalman filtering, and mixed Kalman/H? filtering. Problems at the end of each chapter include both written exercises and computer exercises. Written exercises focus on improving the reader's understanding of theory and key concepts, whereas computer exercises help readers apply theory to problems similar to ones they are likely to encounter in industry. With its expert blend of theory and practice, coupled with its presentation of recent research results, Optimal State Estimation is strongly recommended for undergraduate and graduate-level courses in optimal control and state estimation theory. It also serves as a reference for engineers and science professionals across a wide array of industries.

Discrete-time Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1447101014
Total Pages : 387 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Discrete-time Stochastic Systems by : Torsten Söderström

Download or read book Discrete-time Stochastic Systems written by Torsten Söderström and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive introduction to the estimation and control of dynamic stochastic systems provides complete derivations of key results. The second edition includes improved and updated material, and a new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.

Stochastic Systems and State Estimation

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Systems and State Estimation by : Terrence P. McGarty

Download or read book Stochastic Systems and State Estimation written by Terrence P. McGarty and published by Wiley-Interscience. This book was released on 1974 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

State Estimation in Continuous Nonlinear Systems with Discrete Observations

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Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.:/5 (244 download)

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Book Synopsis State Estimation in Continuous Nonlinear Systems with Discrete Observations by : Glenn Marshall Sparks

Download or read book State Estimation in Continuous Nonlinear Systems with Discrete Observations written by Glenn Marshall Sparks and published by . This book was released on 1970 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deterministic Sampling for Nonlinear Dynamic State Estimation

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Publisher : KIT Scientific Publishing
ISBN 13 : 3731504731
Total Pages : 198 pages
Book Rating : 4.7/5 (315 download)

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Book Synopsis Deterministic Sampling for Nonlinear Dynamic State Estimation by : Gilitschenski, Igor

Download or read book Deterministic Sampling for Nonlinear Dynamic State Estimation written by Gilitschenski, Igor and published by KIT Scientific Publishing. This book was released on 2016-04-19 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this work is improving existing and suggesting novel filtering algorithms for nonlinear dynamic state estimation. Nonlinearity is considered in two ways: First, propagation is improved by proposing novel methods for approximating continuous probability distributions by discrete distributions defined on the same continuous domain. Second, nonlinear underlying domains are considered by proposing novel filters that inherently take the underlying geometry of these domains into account.

State Estimation for Dynamic Systems

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Publisher : CRC Press
ISBN 13 : 9780849344589
Total Pages : 322 pages
Book Rating : 4.3/5 (445 download)

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Book Synopsis State Estimation for Dynamic Systems by : Felix L. Chernousko

Download or read book State Estimation for Dynamic Systems written by Felix L. Chernousko and published by CRC Press. This book was released on 1993-11-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: State Estimation for Dynamic Systems presents the state of the art in this field and discusses a new method of state estimation. The method makes it possible to obtain optimal two-sided ellipsoidal bounds for reachable sets of linear and nonlinear control systems with discrete and continuous time. The practical stability of dynamic systems subjected to disturbances can be analyzed, and two-sided estimates in optimal control and differential games can be obtained. The method described in the book also permits guaranteed state estimation (filtering) for dynamic systems in the presence of external disturbances and observation errors. Numerical algorithms for state estimation and optimal control, as well as a number of applications and examples, are presented. The book will be an excellent reference for researchers and engineers working in applied mathematics, control theory, and system analysis. It will also appeal to pure and applied mathematicians, control engineers, and computer programmers.

State Estimation and Stabilization of Nonlinear Systems

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Publisher : Springer Nature
ISBN 13 : 3031379705
Total Pages : 439 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis State Estimation and Stabilization of Nonlinear Systems by : Abdellatif Ben Makhlouf

Download or read book State Estimation and Stabilization of Nonlinear Systems written by Abdellatif Ben Makhlouf and published by Springer Nature. This book was released on 2023-11-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the separation principle which is also known as the principle of separation of estimation and control and states that, under certain assumptions, the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the system's state, which feeds into an optimal deterministic controller for the system. Thus, the problem may be divided into two halves, which simplifies its design. In the context of deterministic linear systems, the first instance of this principle is that if a stable observer and stable state feedback are built for a linear time-invariant system (LTI system hereafter), then the combined observer and feedback are stable. The separation principle does not true for nonlinear systems in general. Another instance of the separation principle occurs in the context of linear stochastic systems, namely that an optimum state feedback controller intended to minimize a quadratic cost is optimal for the stochastic control problem with output measurements. The ideal solution consists of a Kalman filter and a linear-quadratic regulator when both process and observation noise are Gaussian. The term for this is linear-quadratic-Gaussian control. More generally, given acceptable conditions and when the noise is a martingale (with potential leaps), a separation principle, also known as the separation principle in stochastic control, applies when the noise is a martingale (with possible jumps).

State Estimation for Nonlinear Systems Via Quasilinearization

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Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis State Estimation for Nonlinear Systems Via Quasilinearization by : Wai Keung Chan

Download or read book State Estimation for Nonlinear Systems Via Quasilinearization written by Wai Keung Chan and published by . This book was released on 1976 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Filtering and Smoothing

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Publisher : Cambridge University Press
ISBN 13 : 110703065X
Total Pages : 255 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Bayesian Filtering and Smoothing by : Simo Särkkä

Download or read book Bayesian Filtering and Smoothing written by Simo Särkkä and published by Cambridge University Press. This book was released on 2013-09-05 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified Bayesian treatment of the state-of-the-art filtering, smoothing, and parameter estimation algorithms for non-linear state space models.

Advanced and Intelligent Computations in Diagnosis and Control

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Publisher : Springer
ISBN 13 : 3319231804
Total Pages : 417 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advanced and Intelligent Computations in Diagnosis and Control by : Zdzisław Kowalczuk

Download or read book Advanced and Intelligent Computations in Diagnosis and Control written by Zdzisław Kowalczuk and published by Springer. This book was released on 2015-09-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the demands of research and industrial centers for diagnostics, monitoring and decision making systems that result from the increasing complexity of automation and systems, the need to ensure the highest level of reliability and safety, and continuing research and the development of innovative approaches to fault diagnosis. The contributions combine domains of engineering knowledge for diagnosis, including detection, isolation, localization, identification, reconfiguration and fault-tolerant control. The book is divided into six parts: (I) Fault Detection and Isolation; (II) Estimation and Identification; (III) Robust and Fault Tolerant Control; (IV) Industrial and Medical Diagnostics; (V) Artificial Intelligence; (VI) Expert and Computer Systems.

Event-Based State Estimation

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Publisher : Springer
ISBN 13 : 3319266063
Total Pages : 215 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Event-Based State Estimation by : Dawei Shi

Download or read book Event-Based State Estimation written by Dawei Shi and published by Springer. This book was released on 2015-11-19 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores event-based estimation problems. It shows how several stochastic approaches are developed to maintain estimation performance when sensors perform their updates at slower rates only when needed. The self-contained presentation makes this book suitable for readers with no more than a basic knowledge of probability analysis, matrix algebra and linear systems. The introduction and literature review provide information, while the main content deals with estimation problems from four distinct angles in a stochastic setting, using numerous illustrative examples and comparisons. The text elucidates both theoretical developments and their applications, and is rounded out by a review of open problems. This book is a valuable resource for researchers and students who wish to expand their knowledge and work in the area of event-triggered systems. At the same time, engineers and practitioners in industrial process control will benefit from the event-triggering technique that reduces communication costs and improves energy efficiency in wireless automation applications.

State Estimation of Nonlinear Discrete Time Systems [microform]

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Author :
Publisher : National Library of Canada
ISBN 13 :
Total Pages : 115 pages
Book Rating : 4.:/5 (27 download)

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Book Synopsis State Estimation of Nonlinear Discrete Time Systems [microform] by : N. Ramani

Download or read book State Estimation of Nonlinear Discrete Time Systems [microform] written by N. Ramani and published by National Library of Canada. This book was released on 1972 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:

State Estimation of Nonlinear Discrete Time Systems

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Publisher :
ISBN 13 :
Total Pages : 115 pages
Book Rating : 4.:/5 (27 download)

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Book Synopsis State Estimation of Nonlinear Discrete Time Systems by : Narayanaswami Ramani

Download or read book State Estimation of Nonlinear Discrete Time Systems written by Narayanaswami Ramani and published by . This book was released on 1970 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Moving Horizon State Estimation of Discrete Time Systems

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Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Moving Horizon State Estimation of Discrete Time Systems by : Peter Klaus Findeisen

Download or read book Moving Horizon State Estimation of Discrete Time Systems written by Peter Klaus Findeisen and published by . This book was released on 1997 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: