About this book
The focus of this book is on filtering for linear processes, and its primary goal is to design filters from a class of linear stable unbiased filters that yield an estimation error with the lowest root-mean-square (RMS) norm. Various hierarchical classes of filtering problems are defined based on the availability of statistical knowledge regarding noise, disturbances, and other uncertainties.
An important characteristic of the approach employed in this work for several aspects of filter analysis and design is structural in nature, revealing an inherent freedom to incorporate other classical secondary engineering constraints—such as placement of filter poles at desired locations—in filter design. Such a structural approach requires an understanding of powerful tools that then may be used in several engineering applications besides filtering.
Key features and topics covered:
* Provides an in-depth structural study of powerful tools such as Riccati equations, linear matrix inequalities, and quadratic matrix inequalities.
* Develops a general and structural theory of H2 and H-infinity optimal filtering as well as generalized H2 and H-infinity optimal filtering in a broad framework with an extensive and complete analysis and synthesis of filter design.
* Examines several hierarchically ordered layers of noise decoupled filtering problems under a single umbrella.
* Illustrates the application of filtering theory to fault detection, isolation, and estimation.
Filtering Theory is aimed at a broad audience of practicing engineers, graduate students, and researchers in filtering, signal processing, and control. The book may serve as an advanced graduate text for a course or seminar in filtering theory in applied mathematics or engineering departments. Prerequisites for the reader are a first graduate course in state-space methods as well as a first course in filtering.
Editors and affiliations
- Book Title Filtering Theory
- Book Subtitle With Applications to Fault Detection, Isolation, and Estimation
- Series Title Systems & Control: Foundations & Applications
- DOI https://doi.org/10.1007/978-0-8176-4564-9
- Copyright Information Birkhäuser Boston 2007
- Publisher Name Birkhäuser Boston
- eBook Packages Engineering Engineering (R0)
- Hardcover ISBN 978-0-8176-4301-0
- eBook ISBN 978-0-8176-4564-9
- Series ISSN 2324-9749
- Series E-ISSN 2324-9757
- Edition Number 1
- Number of Pages XIV, 723
- Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
Control and Systems Theory
Systems Theory, Control
Mathematical and Computational Engineering
Signal, Image and Speech Processing
Communications Engineering, Networks
Circuits and Systems
- Buy this book on publisher's site
From the reviews:
The book can be recommended to graduate students and researchers in filtering, signal processing and control. –Zentralblatt Math
"This book is about filtering of white noise and finite energy type signals for finite-dimensional linear time-invariant system models. … This book is written for a mathematically mature reader with background in state space, geometric theory and filtering at least at the first year graduate level in engineering or applied mathematics." (Edwin Engin Yaz, Mathematical Reviews, Issue 2007 j)
"This book presents a comprehensive study of filtering theory from an essentially structural perspective. … this book appears particularly suited to scholars, scientists, and researchers. … the authors also address graduate students and practicing engineers." (Elena Zattoni, International Journal of Robust and Nonlinear Control, Vol. 19, 2009)