Algorithms of Estimation for Nonlinear Systems
Springer International Publishing (Verlag)
978-3-319-53039-0 (ISBN)
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.
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.
"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)
“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)
| Erscheinungsdatum | 28.04.2017 |
|---|---|
| Reihe/Serie | Understanding Complex Systems |
| Zusatzinfo | XX, 197 p. 58 illus., 10 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Optik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Naturwissenschaften ► Physik / Astronomie ► Thermodynamik | |
| Technik ► Maschinenbau | |
| Schlagworte | Applications of Nonlinear Dynamics and Chaos Theor • Asymptotic output tracking • Bilinear systems • Dynamical state estimation • Dynamical Systems and Ergodic Theory • Dynamics and statics • Fault-tolerant dynamical controller • Input-affine systems • mechanics of solids • Nonlinear Science • Physics • Physics and Astronomy • Statistical Physics • Statistical Physics and Dynamical Systems • Uncertainty estimation for nonlinear systems • Vibration, Dynamical Systems, Control |
| ISBN-10 | 3-319-53039-9 / 3319530399 |
| ISBN-13 | 978-3-319-53039-0 / 9783319530390 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
