Buch, Englisch, 197 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g
A Differential and Algebraic Viewpoint
Buch, Englisch, 197 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 341 g
Reihe: Understanding Complex Systems
ISBN: 978-3-319-85046-7
Verlag: Springer International Publishing
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
Weitere Infos & Material
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.
