Modeling, Design, and Simulation of Systems with Uncertainties

  • Andreas Rauh
  • Ekaterina Auer

Part of the Mathematical Engineering book series (MATHENGIN, volume 3)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Theoretic Background and Software Implementation

  3. Applications: Uncertainties in Engineering

    1. Front Matter
      Pages 197-198
    2. Marco Kletting, Michel Kieffer, Eric Walter
      Pages 199-220
    3. Neli S. Dimitrova, Mikhail I. Krastanov
      Pages 275-291
    4. Ekaterina Auer, Haider Albassam, Andrés Kecskeméthy, Wolfram Luther
      Pages 293-308
    5. Vasily V. Saurin, Georgy V. Kostin, Andreas Rauh, Harald Aschemann
      Pages 309-332
    6. Harald Aschemann, Dominik Schindele, Jèran Ritzke
      Pages 333-351
  4. Back Matter
    Pages 353-354

About this book

Introduction

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.

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

Editors and affiliations

  • Andreas Rauh
    • 1
  • Ekaterina Auer
    • 2
  1. 1., Chair of MechatronicsUniversity of RostockRostockGermany
  2. 2., Faculty of Engineering, INKOUniversity of Duisburg-EssenDuisburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15956-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-15955-8
  • Online ISBN 978-3-642-15956-5
  • About this book
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