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.
• Physical Description: XX, 197 p. 58 illus., 10 illus. in color. online resource.
• ISBN: 9783319530406
• ISSN: 1860-0832

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.