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

• Κύριοι συγγραφείς: Martínez-Guerra, Rafael (Συγγραφέας), Cruz-Ancona, Christopher Diego (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Understanding Complex Systems,
• Θέματα: Physics.; Dynamics.; Ergodic theory.; Vibration.; Dynamical systems.; Applications of Nonlinear Dynamics and Chaos Theory.; Vibration, Dynamical Systems, Control.; Dynamical Systems and Ergodic Theory.; Statistical Physics and Dynamical 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. 

 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.