Algorithms of Estimation for Nonlinear Systems
A Differential and Algebraic Viewpoint
(Sprache: Englisch)
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...
Several algorithms are proposed and worked out for a set of model...
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Klappentext zu „Algorithms of Estimation for Nonlinear Systems “
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.
Inhaltsverzeichnis zu „Algorithms of Estimation for Nonlinear Systems “
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.
Bibliographische Angaben
- Autoren: Rafael Martínez-Guerra , Christopher Diego Cruz-Ancona
- 2018, Softcover reprint of the original 1st ed. 2017, XX, 197 Seiten, 10 farbige Abbildungen, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319850466
- ISBN-13: 9783319850467
Sprache:
Englisch
Pressezitat
"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)
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