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

• Main Authors: Martínez-Guerra, Rafael (Author), Cruz-Ancona, Christopher Diego (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Understanding Complex Systems,
• Subjects: 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 s...

Table of Contents:

• 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.