Overview
- Survey of modern techniques for handling uncertainties in modeling, design and simulation of dynamic systems
- With real-life application scenarios
- Written by experts in the field
Part of the book series: Mathematical Engineering (MATHENGIN)
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Table of contents (16 chapters)
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Front Matter
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Theoretic Background and Software Implementation
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Front Matter
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Applications: Uncertainties in Engineering
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Front Matter
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Back Matter
Keywords
- Aleatory uncertainties
- Aleatory uncertainties
- Aleatory uncertainties
- Aleatory uncertainties
- Epistemological uncertainties
- Epistemological uncertainties
- Epistemological uncertainties
- Epistemological uncertainties
- Interval methods
- Interval methods
- Interval methods
- Interval methods
- Verified system design
- Verified system design
- Verified system design
- Verified system design
About this book
To describe the true behavior of most real-world systems with sufficient accuracy, engineers have to overcome difficulties arising from their lack of knowledge about certain parts of a process or from the impossibility of characterizing it with absolute certainty. Depending on the application at hand, uncertainties in modeling and measurements can be represented in different ways. For example, bounded uncertainties can be described by intervals, affine forms or general polynomial enclosures such as Taylor models, whereas stochastic uncertainties can be characterized in the form of a distribution described, for example, by the mean value, the standard deviation and higher-order moments.
The goal of this Special Volume on Modeling, Design, and Simulation of Systems with Uncertainties is to cover modern methods for dealing with the challenges presented by imprecise or unavailable information. All contributions tackle the topic from the point of view of control, state and parameter estimation, optimization and simulation.
Thematically, this volume can be divided into two parts. In the first we present works highlighting the theoretic background and current research on algorithmic approaches in the field of uncertainty handling, together with their reliable software implementation. The second part is concerned with real-life application scenarios from various areas including but not limited to mechatronics, robotics, and biomedical engineering.
Editors and Affiliations
About the editors
Andreas Rauh
received his diploma degree in electrical engineering and information technology from the Technische Universität München, Munich, Germany, in 2001 and his PhD degree (Dr.-Ing.) from the University of Ulm, Germany, in 2008. His research interests are: State and parameter estimation for stochastic and set-valued uncertainties, verified simulation of nonlinear uncertain systems, nonlinear, robust, and optimal control, interval methods for ordinary differential equations as well as differential-algebraic systems. Currently, he is with the Chair of Mechatronics, University of Rostock, Germany, as post-doctoral researcher.
Ekaterina Auer
received her Diplomas in Mathematics and Computer Science from Ulyanovsk State University in 2001 and from the University of Duisburg-Essen in 2002. Since 2002, she has been working at the chair for computer graphics and scientific computing at the University of Duisburg-Essen as a research assistant, receiving her Ph.D. in 2006. Her main interests are scientific computing **and development of software for its application to problems in mechanics and engineering.
Bibliographic Information
Book Title: Modeling, Design, and Simulation of Systems with Uncertainties
Editors: Andreas Rauh, Ekaterina Auer
Series Title: Mathematical Engineering
DOI: https://doi.org/10.1007/978-3-642-15956-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2011
Hardcover ISBN: 978-3-642-15955-8Published: 08 June 2011
Softcover ISBN: 978-3-642-26856-4Published: 03 August 2013
eBook ISBN: 978-3-642-15956-5Published: 06 June 2011
Series ISSN: 2192-4732
Series E-ISSN: 2192-4740
Edition Number: 1
Number of Pages: XX, 356
Topics: Control, Robotics, Mechatronics, Systems Theory, Control, Software Engineering/Programming and Operating Systems