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Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint de Rafael Martínez-Guerra

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

Autor Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona
en Limba Engleză Hardback – 18 apr 2017
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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Specificații

ISBN-13: 9783319530390
ISBN-10: 3319530399
Pagini: 193
Ilustrații: XX, 197 p. 58 illus., 10 illus. in color.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.49 kg
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Seria Understanding Complex Systems

Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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)

Textul de pe ultima copertă

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.

Caracteristici

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