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Algorithms of Estimation for Nonlinear Systems

A Differential and Algebraic Viewpoint

  • Rafael Martínez-Guerra
  • Christopher Diego Cruz-Ancona

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 1-6
  3. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 7-14
  4. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 15-24
  5. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 25-37
  6. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 39-55
  7. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 57-75
  8. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 77-91
  9. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 93-103
  10. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 105-157
  11. Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 159-186
  12. Back Matter
    Pages 187-197

About this book

Introduction

This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems.

Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation.

The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms.

Keywords

Input-affine systems Bilinear systems Dynamical state estimation Asymptotic output tracking Fault-tolerant dynamical controller Uncertainty estimation for nonlinear systems

Authors and affiliations

  • Rafael Martínez-Guerra
    • 1
  • Christopher Diego Cruz-Ancona
    • 2
  1. 1.Departamento de Control AutomaticoCINVESTAV-IPNMexicoMexico
  2. 2.Departamento de Control AutomaticoCINVESTAV-IPNMexicoMexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-53040-6
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-53039-0
  • Online ISBN 978-3-319-53040-6
  • Series Print ISSN 1860-0832
  • Series Online ISSN 1860-0840
  • Buy this book on publisher's site