Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

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.

1134494862
Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

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.

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Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint

eBook1st ed. 2017 (1st ed. 2017)

$109.00 

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Overview

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.


Product Details

ISBN-13: 9783319530406
Publisher: Springer-Verlag New York, LLC
Publication date: 04/04/2017
Series: Understanding Complex Systems
Sold by: Barnes & Noble
Format: eBook
File size: 3 MB

Table of Contents

Preface.- Analysis of input-affine nonlinear processes.- Basic Definitions of Differential Algebras.- Algebraic Observability Condition for Nonlinear systems and External behaviour.- Generalized Observability Canonical Forms.- Observer Synthesis.- Tracking and Stabilization Problems.- Parametric and State Estimation.- Observer synthesis for a more general class of Nonlinear Systems.- A Separation Principle for Nonlinear Systems.- Some uncommon observers with interesting applications.- Appendix A Singularity Treatment.- Appendix B Some properties for Nonlinear Systems.

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