Optimal and Robust Estimation

Optimal and Robust Estimation
Author: Frank L. Lewis
Publisher: CRC Press
Total Pages: 638
Release: 2017-12-19
Genre: Technology & Engineering
ISBN: 1351837540

More than a decade ago, world-renowned control systems authority Frank L. Lewis introduced what would become a standard textbook on estimation, under the title Optimal Estimation, used in top universities throughout the world. The time has come for a new edition of this classic text, and Lewis enlisted the aid of two accomplished experts to bring the book completely up to date with the estimation methods driving today's high-performance systems. A Classic Revisited Optimal and Robust Estimation: With an Introduction to Stochastic Control Theory, Second Edition reflects new developments in estimation theory and design techniques. As the title suggests, the major feature of this edition is the inclusion of robust methods. Three new chapters cover the robust Kalman filter, H-infinity filtering, and H-infinity filtering of discrete-time systems. Modern Tools for Tomorrow's Engineers This text overflows with examples that highlight practical applications of the theory and concepts. Design algorithms appear conveniently in tables, allowing students quick reference, easy implementation into software, and intuitive comparisons for selecting the best algorithm for a given application. In addition, downloadable MATLAB® code allows students to gain hands-on experience with industry-standard software tools for a wide variety of applications. This cutting-edge and highly interactive text makes teaching, and learning, estimation methods easier and more modern than ever.

Optimal Control and Estimation

Optimal Control and Estimation
Author: Robert F. Stengel
Publisher: Courier Corporation
Total Pages: 674
Release: 2012-10-16
Genre: Mathematics
ISBN: 0486134814

Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems. "Invaluable as a reference for those already familiar with the subject." — Automatica.

Optimal Estimation

Optimal Estimation
Author: Frank L. Lewis
Publisher: Wiley-Interscience
Total Pages: 408
Release: 1986-04-15
Genre: Mathematics
ISBN:

Describes the use of optimal control and estimation in the design of robots, controlled mechanisms, and navigation and guidance systems. Covers control theory specifically for students with minimal background in probability theory. Presents optimal estimation theory as a tutorial with a direct, well-organized approach and a parallel treatment of discrete and continuous time systems. Gives practical examples and computer simulations. Provides enough mathematical rigor to put results on a firm foundation without an overwhelming amount of proofs and theorems.

Stochastic Processes, Estimation, and Control

Stochastic Processes, Estimation, and Control
Author: Jason L. Speyer
Publisher: SIAM
Total Pages: 391
Release: 2008-11-06
Genre: Mathematics
ISBN: 0898716551

The authors provide a comprehensive treatment of stochastic systems from the foundations of probability to stochastic optimal control. The book covers discrete- and continuous-time stochastic dynamic systems leading to the derivation of the Kalman filter, its properties, and its relation to the frequency domain Wiener filter aswell as the dynamic programming derivation of the linear quadratic Gaussian (LQG) and the linear exponential Gaussian (LEG) controllers and their relation to HÝsubscript 2¨ and HÝsubscript Ýinfinity¨¨ controllers and system robustness. This book is suitable for first-year graduate students in electrical, mechanical, chemical, and aerospace engineering specializing in systems and control. Students in computer science, economics, and possibly business will also find it useful.

Statistics of Random Processes II

Statistics of Random Processes II
Author: Robert S. Liptser
Publisher: Springer Science & Business Media
Total Pages: 409
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662100282

"Written by two renowned experts in the field, the books under review contain a thorough and insightful treatment of the fundamental underpinnings of various aspects of stochastic processes as well as a wide range of applications. Providing clear exposition, deep mathematical results, and superb technical representation, they are masterpieces of the subject of stochastic analysis and nonlinear filtering....These books...will become classics." --SIAM REVIEW

Optimal Control and Stochastic Estimation

Optimal Control and Stochastic Estimation
Author: Michael J. Grimble
Publisher:
Total Pages: 478
Release: 1988-06-17
Genre: Mathematics
ISBN:

Two volumes, which together present a modern and comprehensive overview of the field of optimal control and stochastic estimation.

Optimal Estimation of Dynamic Systems

Optimal Estimation of Dynamic Systems
Author: John L. Crassidis
Publisher: CRC Press
Total Pages: 606
Release: 2004-04-27
Genre: Mathematics
ISBN: 1135439273

Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals received are used to determine highly sensitive processes such as the flight path of a plane, the orbit of a space vehicle, or the control of a machine. The authors use dynamic models from mechanical and aerospace engineering to provide immediate results of estimation concepts with a minimal reliance on mathematical skills. The book documents the development of the central concepts and methods of optimal estimation theory in a manner accessible to engineering students, applied mathematicians, and practicing engineers. It includes rigorous theoretial derivations and a significant amount of qualitiative discussion and judgements. It also presents prototype algorithms, giving detail and discussion to stimulate development of efficient computer programs and intelligent use of them. This book illustrates the application of optimal estimation methods to problems with varying degrees of analytical and numercial difficulty. It compares various approaches to help develop a feel for the absolute and relative utility of different methods, and provides many applications in the fields of aerospace, mechanical, and electrical engineering.

Estimation and Control Problems for Stochastic Partial Differential Equations

Estimation and Control Problems for Stochastic Partial Differential Equations
Author: Pavel S. Knopov
Publisher: Springer Science & Business Media
Total Pages: 191
Release: 2013-09-17
Genre: Mathematics
ISBN: 1461482860

Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields.