Mathematical Engineering

Modeling, Design, and Simulation of Systems with Uncertainties

Editors: Rauh, Andreas, Auer, Ekaterina (Eds.)

  • Survey of modern techniques for handling uncertainties in modeling, design and simulation of dynamic systems
  • Includes real-life application scenarios
  • Written by experts in the field
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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.

About the authors

Andreas Rauh

received his diploma degree in electrical engineering and information technology from the Technische Universit√§t M√ľnchen, 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.

Table of contents (16 chapters)

  • Implementing a Rigorous ODE Solver Through Literate Programming

    Nedialkov, Nedialko S.

    Pages 3-19

  • A New Method for Inner Estimation of Solution Sets to Interval Linear Systems

    Shary, Sergey P.

    Pages 21-42

  • Structural Analysis for the Design of Reliable Controllers and State Estimators for Continuous-Time Dynamical Systems with Uncertainties

    Rauh, Andreas (et al.)

    Pages 43-68

  • Analyzing Reachability of Linear Dynamic Systems with Parametric Uncertainties

    Althoff, Matthias (et al.)

    Pages 69-94

  • Robustness Comparison of Tracking Controllers Using Verified Integration

    Kletting, Marco (et al.)

    Pages 95-115

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-642-15956-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-642-15955-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-3-642-26856-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Modeling, Design, and Simulation of Systems with Uncertainties
Editors
  • Andreas Rauh
  • Ekaterina Auer
Series Title
Mathematical Engineering
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-15956-5
DOI
10.1007/978-3-642-15956-5
Hardcover ISBN
978-3-642-15955-8
Softcover ISBN
978-3-642-26856-4
Series ISSN
2192-4732
Edition Number
1
Number of Pages
XX, 356
Topics