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  • © 2017

Algorithms of Estimation for Nonlinear Systems

A Differential and Algebraic Viewpoint

  • Introduces novel approaches to nonlinear control systems
  • Self-contained presentation suitable also for newcomers to the field
  • Contains many worked examples

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 1-6
  3. Differential Algebra in Control Theory

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 7-14
  4. Algebraic Observability for Nonlinear Systems

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 15-24
  5. Generalized Observability Canonical Form

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 25-37
  6. Observers for a Class of Nonlinear Systems

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 39-55
  7. Observer-Based Local Stabilization and Asymptotic Output Tracking

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 57-75
  8. Parametric Identification of Time-Varying Nonlinear Systems

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 77-91
  9. More General Nonlinear Systems Case

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 93-103
  10. A Separation Principle for Nonlinear Systems

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 105-157
  11. Some Other Observers for Nonlinear Systems

    • Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
    Pages 159-186
  12. Back Matter

    Pages 187-197

About this book

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.

Reviews

“Many examples are provided throughout the book to illustrate the methods described in each section. … the book provides an interesting overview of the potentialities of the differential algebraic approach and the relationships with analogous results from the differential geometric approach.” (Filippo Cacace, Mathematical Reviews, November, 2017)

Authors and Affiliations

  • Departamento de Control Automatico, CINVESTAV-IPN, Mexico, Mexico

    Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona

Bibliographic Information

Buy it now

Buying options

eBook USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access